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Luck

Luck is a multifaceted referring to or outcomes that occur by , often perceived as favorable or unfavorable, and lying beyond an individual's control or reasonable foresight. In philosophical terms, luck is commonly defined as the occurrence of significant good or bad that fall outside the horizon of effective foreseeability, distinguishing it from deliberate actions or predictable consequences. Psychologically, it is characterized as an uncertain outcome leading to or misfortune, with often viewing luck as a that influences their lives, such as consistently favoring certain individuals over others. Sociologically, a involves , carries consequential (beneficial or harmful), and remains outside the agent's influence, shaping perceptions of and in social contexts. The notion of luck has deep historical roots, initially conceived as a supernatural force harnessable through rituals, objects, or behaviors to invoke positive outcomes, evolving over time into a more secular understanding tied to probability and . In , luck raises profound questions in —particularly , where uncontrollable factors affect moral assessments—and , challenging notions of and . Psychologically, highlights how beliefs in luck correlate with , , and self-fulfilling behaviors; for instance, those who consider themselves "lucky" tend to notice and act on opportunities more readily, creating a that reinforces their perceptions. Across cultures and disciplines, luck underscores the interplay between and , influencing everything from behaviors to attributions of in business and science.

Definition and Etymology

Etymology

The word "luck" entered the English language in the late 15th century as a noun denoting good or bad fortune, originating from Middle English "luk" or "lucke," which signified fortune or fate. This term was borrowed from Middle Dutch "luc," a shortened form of "gheluc" meaning "good fortune" or "happiness," and is related to similar Low German and Frisian words like Old Frisian "luk." The roots trace back to early Germanic languages, with cognates in Middle High German "gelücke," evolving into modern German "Glück" for happiness or luck. A key Germanic precursor appears in Old Norse "lukka," a feminine meaning "luck" or "good fortune," reflecting concepts of favorable outcomes in medieval texts. This shared etymological foundation across Germanic tongues highlights how "luck" emerged from a broader Indo-European stem associated with closing or locking (as in securing a positive result), though its precise Proto-Germanic form remains debated among linguists. By the , the word had spread through trade and cultural exchange in , appearing in English contexts by the 1480s. Cross-culturally, parallels exist in non-Indo-European languages, such as Chinese "yùnqì" (运气), where "yùn" derives from roots meaning "to carry," "transport," or "revolve," implying a dynamic flow of events, combined with "qì" for vital energy or breath, thus connoting the movement of fortune. In historical usage, "luck" first surfaces in English literature around the mid-15th century, notably in religious and moral texts like the Promptorium Parvulorum (c. 1440–1450), where it was glossed as gain or profit (lucrum), evolving by the 16th century into secular references to personal fortune in works by authors like Shakespeare. This shift from medieval fatalism to modern probabilistic connotations underscores the term's adaptation amid Renaissance humanism and the rise of games of chance.

Core Definitions

Luck refers to the phenomenon of events occurring beyond an individual's control or foresight, resulting in outcomes that are perceived as either favorable or unfavorable. Philosopher characterizes it as "a of having something good or bad happen that lies outside the horizon of effective foreseeability," emphasizing its unpredictable and value-laden nature. This definition underscores luck's relational aspect, where the significance of an event depends on its impact on the affected party. Luck is distinct from chance, which denotes pure randomness or probabilistic occurrences without inherent positive or negative connotations; chance describes neutral mechanisms like coin flips, whereas luck implies a fortunate or unfortunate twist. In contrast to fate, which suggests a predetermined course of events governed by destiny or inevitability, luck involves that could have turned out differently. These distinctions highlight luck's focus on unforeseeable happenstance rather than fixed paths or impartial probability. Common typologies of luck include , often equated with or beneficial coincidences that yield positive results; bad luck, synonymous with misfortune or adverse surprises; and neutral luck, representing instances of devoid of significant benefit or harm. Good and bad luck are value-oriented, while neutral forms align more closely with unadorned events. In everyday usage, luck functions as an attributed property to various entities: events (e.g., a "lucky escape"), (e.g., someone deemed "" due to repeated favorable outcomes), or objects (e.g., a "" believed to influence fortune). Empirical studies indicate that often associate luck with personal traits, viewing it as a stable characteristic of individuals, in contrast to , which they apply to impersonal events. This variability reflects luck's conceptual flexibility across contexts, shaped historically by roots in terms like the luc, denoting "good fortune."

Interpretations of Luck

As Uncontrollable Chance

In philosophy, luck is often conceptualized as uncontrollable chance, referring to events that deviate from human skill, intention, or expectation, occurring outside the realm of deliberate agency. , in his Physics (Book II, chapters 4-6), distinguishes (fortune or chance) as an accidental cause in the sublunary world of human affairs, where outcomes happen contrary to purpose but within the scope of what might be intended in general, such as a person finding while seeking exercise. This notion underscores luck as an external force disrupting predictable , separate from necessity or deliberate action. Historical philosophical traditions, particularly Stoicism, further elaborate on luck as an integral yet indifferent aspect of nature's rational order, to be accepted rather than resisted. Stoics like Epictetus and Seneca viewed fortune (tychē or fortuna) as part of the providential chain of fate governed by cosmic reason (logos), where external events—good or ill—are neither inherently beneficial nor harmful, but opportunities for virtuous response. Virtue, defined as rational alignment with nature, remains sufficient for eudaimonia (happiness) irrespective of lucky or unlucky occurrences, emphasizing acceptance of the uncontrollable to maintain inner tranquility. This perspective integrates luck into a deterministic framework, portraying it as a manifestation of universal causation beyond individual control. Illustrative examples of uncontrollable chance abound in both natural and human domains. , such as earthquakes or floods, exemplify luck as random, agency-independent events that impose unforeseen consequences on populations, deviating from any intentional human planning. Similarly, the 1928 by occurred serendipitously when spores contaminated a bacterial culture in his laboratory, leading to the observation of an antibacterial effect; Fleming himself described it as something "discovered... by accident," highlighting how unintended environmental factors yielded a transformative medical breakthrough. The philosophical implications of luck as uncontrollable profoundly challenge notions of and by introducing elements of that undermine absolute predictability. In moral philosophy, causal luck—outcomes influenced by factors beyond an agent's —poses a direct threat to , as articulated by , equating it to the core problem of whether allows for genuine or if renders moral responsibility illusory. This tension suggests that human actions, while intentional, are interwoven with uncontrollable contingencies, complicating strict and prompting debates on how preserves or erodes volitional agency.

Probabilistic Fallacies

Probabilistic fallacies represent common misconceptions in interpreting luck as a force that compensates for or extends random outcomes, often leading individuals to misjudge the independence of probabilistic events. The , also known as the , refers to the erroneous belief that past independent random events influence the probability of future ones in a sequence, such as expecting a streak to reverse to achieve balance. A classic illustration occurred on August 18, 1913, at the , where the wheel landed on black 26 times in succession, prompting gamblers to increasingly bet on under the assumption that the streak would end, resulting in substantial losses as each spin remained independent with equal odds for red or black. In contrast, the hot-hand fallacy involves the mistaken assumption that a current streak of success indicates continued elevated probability of future success, attributing it to ongoing "luck" rather than natural variance in independent trials. This bias often manifests in contexts like sports, where observers perceive a basketball player as "hot" after multiple consecutive shots and expect further hits, despite evidence showing no such dependence in random or skill-based sequences. Empirical studies confirm that these perceptions arise from subjective expectations of randomness, where people anticipate alternation in chance events but positive recency in human performance. These fallacies stem from a misunderstanding of basic probability principles, particularly the independence of trials, where the outcome of one event does not affect the next. For instance, in a flip, the probability of heads remains 0.5 on every trial, regardless of prior results; after ten heads, the next flip is still equally likely to be heads or tails, as each toss is and lacks memory of history. This principle applies to lotteries, where myths perpetuate overestimation of personal odds based on anecdotal stories of winners, leading players to believe their chances improve after hearing tales of "" individuals despite fixed, minuscule probabilities like 1 in 292 million for major jackpots. Experimental research shows that such biases, including representativeness heuristics, cause systematic overestimation of winning probabilities, reinforced by vivid anecdotes rather than statistical reality.

Metaphysical Essence

In philosophical debates, luck is frequently analyzed as a concept within metaphysics, where its lies in the deviation between the actual world and nearby possible worlds. According to accounts, an event is lucky if it obtains in the actual world but does not in a significant proportion of epistemically close possible worlds, rendering luck an irreducible property rather than a derivative of probability or control. This framework, defended by philosophers such as Duncan Pritchard, posits that modality itself serves as a foundational for understanding luck's non-causal nature, as events' sensitivity to slight alterations in circumstances underscores its metaphysical inexplicability. Thomas Nagel further elucidates luck's metaphysical essence through the lens of moral arbitrariness, arguing that outcomes in ethical contexts are profoundly shaped by factors beyond agents' control, introducing an element of contingency that undermines the stability of . In his seminal essay, Nagel contends that luck permeates judgments of and , as identical actions can yield divergent solely due to circumstantial deviations, such as a negligent driver's survival of an accident versus another's tragic result—both stemming from the same intent yet differentiated by luck's arbitrary intervention. This view highlights luck as an intrinsic, non-eliminable feature of human existence, challenging deterministic or fully rational accounts of . Within dualist metaphysics, luck's essence may manifest as a non-physical force enabling interventions that transcend material causality, allowing for acausal influences from the immaterial realm on physical events, in contrast to materialist perspectives that reject such notions outright, subsuming luck under deterministic physical laws and dismissing metaphysical independence as illusory. Critiques of this primitive status often reduce luck to causal chains or perceptual errors; for instance, existentialist integrates luck into the absurd, noting that "the absurd mind has less luck" in reconciling human reason with an unreasonable world, portraying it as an emblem of existential contingency rather than a substantive force, ultimately critiqued as an illusion born of futile meaning-seeking. Uncontrollability serves as a prerequisite for these metaphysical inquiries, as luck presupposes events immune to full agentic mastery.

Self-Fulfilling Effects

Beliefs in luck can create self-fulfilling effects by influencing individuals' behaviors and motivations, leading to outcomes that reinforce those beliefs. When people perceive themselves as lucky, they often exhibit increased persistence and risk-taking, which can enhance their chances of through heightened effort rather than any external force. For instance, demonstrates that priming individuals with concepts of good luck leads to greater task persistence, as believers in luck continue efforts longer when reminded of fortunate outcomes. Similarly, positive beliefs in luck are associated with higher achievement motivation, mediated by enhanced personal agency and in one's abilities. Conversely, negative superstitions tied to luck can foster avoidance behaviors that precipitate , trapping individuals in cycles of underperformance. Superstitious beliefs may prompt people to evade situations perceived as unlucky, thereby missing opportunities and perpetuating a sense of misfortune. In educational contexts, for example, health-related superstitions have been linked to reduced and higher rates among students, as fear-driven avoidance hinders proactive problem-solving. Such patterns align with broader psychological observations where luck attributions exacerbate anxiety and limit adaptive responses. A prominent example of these self-fulfilling appears in , where exert placebo-like effects by bolstering confidence and performance without altering objective conditions. Activating superstitions, such as holding a "" object, improves outcomes in motor and cognitive tasks by elevating and expectations of . This mechanism mirrors how perceived luck functions as a psychological booster, enabling athletes to persist through challenges and achieve better results through alone. These effects can be understood through the lens of , which posits that stems from anticipated outcomes, and perceived luck modifies these expectations to drive behavior without changing external probabilities. In this framework, attributing potential success to luck enhances effort and , creating a feedback loop where initial beliefs shape real-world achievements. Attributions to luck, as opposed to or effort, thus motivational pathways, reinforcing cycles of perceived or misfortune.

Social and Cultural Dimensions

In Games and Gambling

In and , luck manifests prominently through of pure chance, as seen in dice-based games like , where outcomes depend entirely on random rolls without any player influencing the results. In contrast, card games such as poker incorporate luck in the initial dealing of hands but allow skilled players to leverage , bluffing, and opponent analysis to shift probabilities in their favor, with experts estimating luck accounts for roughly 50% of outcomes. This distinction highlights how activities range from wholly unpredictable events to hybrids where short-term luck can be mitigated by long-term proficiency. Casinos maintain profitability through the house edge, a mathematical advantage embedded in game rules that ensures players lose more over time despite occasional lucky streaks. For instance, in , the house edge on pass line bets is about 1.41%, meaning for every $100 wagered, the casino expects to retain $1.41 on average, while in slots it ranges from 5% to 15%, amplifying long-term losses even as individual spins yield unpredictable wins. Probabilistic fallacies, such as the —where players erroneously believe a streak of losses makes a win more imminent—often exacerbate these dynamics in settings. The cultural history of luck in games traces back to ancient Rome, where "ludus" encompassed public spectacles and private pastimes, including chance-based dice games using tesserae (four-sided knucklebones) for wagering, which were both recreational and socially regulated. These evolved through centuries of European traditions into modern slot machines, first mechanized in 1894 with Charles Fey's Liberty Bell, a pure-chance device featuring randomized reels that symbolized the enduring allure of uncontrollable fortune. Psychologically, the thrill of luck in provides from skill-dominated daily life, offering an adrenaline-fueled break where triggers releases, mimicking rewards from near-misses and fostering immersion in high-stakes environments. This appeal sustains participation, as the random potential for windfalls contrasts with routine predictability, drawing individuals seeking temporary relief from stress or monotony.

Lotteries and Decision-Making

Lotteries represent one of the most prominent modern applications of luck through large-scale random selections, where participants purchase tickets in hopes of matching randomly generated numbers to win prizes. Historically, such systems trace back to ancient during the (206–220 BCE), where a lottery-like game known as baige piao (white pigeon ticket) involved selecting numbers from a pool, with results communicated via pigeon messengers. In contemporary national lotteries, mechanics rely on certified generators or physical draws to ensure fairness and unpredictability, producing outcomes that embody uncontrollable chance. For instance, the U.S. Powerball lottery requires players to match five numbers from 1 to 69 and one from 1 to 26, yielding of approximately 1 in 292.2 million. These systems are designed to distribute prizes from ticket sales, with the vast majority of revenue allocated to jackpots and smaller awards, while a portion supports programs. The inherent low probability underscores lotteries' appeal as passive engagements with luck, where the slim chance of transformative drives participation despite the statistical improbability. Socially, lotteries exert significant influence on decision-making under uncertainty, often criticized as a regressive "tax on the poor" because lower-income individuals spend a disproportionately higher share of their earnings on tickets relative to their wealth. Empirical studies show that participation rates are higher among those with lower socioeconomic status. Those with lower socioeconomic status allocate up to 5–9% of their income to lotteries compared to less than 1% for higher earners, fueled by the hope of escaping poverty despite the minuscule odds. This dynamic raises ethical concerns in public policy, as lotteries generate substantial government revenue—often earmarked for education—but at the cost of exploiting vulnerability to probabilistic hopes. In , lotteries serve as foundational models for analyzing risk preferences and rational choice, exemplified by the , which illustrates how infinite in a hypothetical coin-flip game fails to align with actual behavior. Introduced by Nicolaus Bernoulli in 1713 and resolved by in 1738 through utility theory, the paradox demonstrates that individuals weigh outcomes by rather than raw monetary expectation, explaining why people avoid high-variance lotteries despite positive expected returns. This framework has influenced modern economics, showing how lotteries reveal in choices under uncertainty, where the allure of rare windfalls often overrides probabilistic realism.

Superstitions and Rituals

Superstitions and rituals surrounding luck encompass a wide array of symbolic actions performed across cultures to invoke good or avert misfortune, often rooted in ancient beliefs about forces. These practices typically involve simple gestures or objects believed to influence unpredictable outcomes, providing individuals with a in the face of . One of the most widespread rituals is , a performed to prevent jinxing good luck or to express gratitude for favorable events. This custom traces its origins to ancient pagan traditions in , particularly among the , where trees were considered sacred dwellings for protective spirits and gods; touching or knocking on wood was thought to rouse these entities for safeguarding against evil. Similarly, crossing one's fingers serves as a common for luck, stemming from early Christian practices where the emulated the shape of the to seek divine protection during times of peril or when making promises. Global variations highlight diverse cultural adaptations of such rituals. In Japan, omamori are small amulets purchased at shrines and Buddhist temples, containing inscribed prayers or sacred texts within fabric pouches to ward off evil and attract good fortune, such as protection during travel or success in endeavors. In contrast, the four-leaf clover functions as a natural of luck, its rarity—occurring in about one in 10,000 clovers—symbolizing rare blessings; attributes to each leaf representations of faith, hope, love, and luck, making it a cherished in tradition. From an evolutionary perspective, these rituals likely persist as adaptive mechanisms to mitigate anxiety in uncertain situations, where performing a familiar action fosters a perceived sense of control and reduces associated with . Such practices may also yield self-fulfilling effects by boosting confidence, thereby enhancing performance in skill-based tasks. In modern contexts, these beliefs endure prominently among athletes, who often adopt pre-game routines to "harness" luck and maintain focus under pressure. For instance, many engage in repetitive actions like wearing specific socks, listening to particular songs, or following exact pre-competition sequences, which serve as psychological anchors to build routine and composure in high-stakes environments.

Numerology and Symbolism

Numerology involves the esoteric practice of assigning mystical or predictive meanings to numbers, often used to interpret personal fate or broader cosmic influences related to luck. In traditions, the number 7 is frequently regarded as lucky due to its associations with completeness and , such as the seven days of creation in lore or the seven classical planets, symbolizing divine order and fortune. In contrast, holds the number 8 as highly auspicious, linked to and because its ("bā") resembles the word for "prosper" or "wealth," influencing practices like preferring phone numbers or addresses containing 8. Symbolic icons also play a key role in representing luck across cultures, embedding numerical and visual elements into everyday beliefs. The horseshoe, particularly when hung upturned over a doorway, is seen in and as a vessel to capture and retain good , its U-shape metaphorically holding luck like a container while warding off misfortune. Black cats exemplify contrasting symbolism: in much of , they signify bad luck due to medieval associations with and the devil, yet in , they are viewed as harbingers of good fortune, often depicted in black as protective talismans against or to attract and . Historical texts trace 's roots to ancient philosophies that connected numbers to universal harmony and luck. Pythagorean numerology, developed by the Greek philosopher around the 6th century BCE, posited numbers as the fundamental principles of reality, with specific figures embodying cosmic order; for instance, the —a triangular arrangement of 10 points—represented divine perfection and was invoked for auspicious outcomes. Pythagoreans believed the universe operated through numerical ratios, evident in their doctrine of the "harmony of the spheres," where planetary distances produced inaudible musical intervals symbolizing balanced fortune and the soul's attunement to fate. Cultural clashes highlight how numerical symbolism varies, leading to divergent perceptions of luck. The number is widely considered unlucky in Western societies, tied to events like the Last Supper's 13 attendees or myths of betrayal, prompting avoidance in and . Conversely, in , 13 holds positive connotations of abundance and success, as reflected in the idiom "fare tredici" meaning to strike it rich, often chosen in lotteries for its fortunate implications. These symbols occasionally intersect with broader superstitions, such as rituals invoking horseshoes or cats to amplify perceived luck.

Scientific and Psychological Views

Probability and Statistics

In , luck can be conceptualized as the manifestation of in outcomes that are unpredictable in the short term but governed by statistical laws over repeated trials. The (LLN) formalizes how apparent "luck" in individual events tends to even out as the number of trials increases, providing a mathematical basis for understanding why streaks of good or bad fortune are transient. For independent and identically distributed random variables X_1, X_2, \dots, X_n with finite \mu, the weak LLN states that the sample \bar{X}_n = \frac{1}{n} \sum_{i=1}^n X_i converges in probability to \mu as n \to \infty, meaning that for any \epsilon > 0, P(|\bar{X}_n - \mu| > \epsilon) \to 0. This principle is illustrated in fair coin flips, where the proportion of heads approaches 50% with sufficient tosses, demonstrating that initial deviations due to (perceived as luck) diminish over time. Random variables further model luck as the variability inherent in probabilistic distributions, where outcomes deviate from the mean due to inherent variance. In scenarios involving binary successes or failures, such as repeated independent trials, the binomial distribution captures the probability of achieving a specific number of successes, quantifying the role of chance in "lucky" results. For n trials each with success probability p, the probability of exactly k successes is given by P(K = k) = \binom{n}{k} p^k (1-p)^{n-k}, where \binom{n}{k} is the binomial coefficient, highlighting how variance \sigma^2 = np(1-p) introduces fluctuations that can mimic fortunate or unfortunate streaks. This framework underscores luck not as a mystical force but as the natural spread in random processes, with the expected number of successes np representing the baseline around which lucky deviations occur. Regression to the mean describes the statistical tendency for extreme outcomes—whether exceptionally lucky or unlucky—to be followed by results closer to the average, arising purely from the properties of random variation rather than any corrective mechanism. Coined by in his 1886 study of hereditary stature, this phenomenon occurs because extreme values are often partly due to , and subsequent measurements are more likely to reflect the underlying distribution's . For instance, an unusually high score on a test influenced by random guessing will likely be followed by a score nearer the true ability, explaining why perceived patterns of luck, such as winning streaks in sports, naturally correct without external intervention. Monte Carlo simulations apply these principles to model complex systems where luck equates to unpredictable random inputs, using repeated random sampling to estimate probabilities and outcomes. By generating numerous scenarios with random variables drawn from specified distributions, these methods approximate the behavior of processes, such as the likelihood of rare "lucky" events in or . Developed in the for nuclear weapons research, Monte Carlo techniques enable quantification of variance and convergence akin to the LLN in high-dimensional problems, providing insights into how luck influences aggregate results in fields like and .

Cognitive Biases in Luck Beliefs

People often exhibit when forming beliefs about luck, selectively noticing and remembering events that align with their preconceptions while disregarding contradictory . This bias leads individuals to interpret ambiguous outcomes as confirmatory of their lucky dispositions, such as recalling instances where a personal preceded a positive event but overlooking times when it did not. In the context of superstitious beliefs, confirmation bias perpetuates perceptions of luck by reinforcing associations between actions and chance outcomes, making such beliefs resistant to disconfirmation. The further distorts luck perceptions by causing individuals to overestimate their personal influence over inherently random events. In a seminal experiment, participants who chose their own numbers valued their tickets more highly and were less willing to them compared to those assigned tickets randomly, demonstrating how fosters a false in chance-based scenarios. This bias is particularly evident in activities like , where actions such as selecting numbers or timing bets create an illusory in controlling luck. Attribution theory, developed by Bernard Weiner, explains how people attribute causes to successes and failures in ways that bias luck perceptions. Individuals tend to internalize successes by crediting them to stable internal factors like skill or , while externalizing failures to unstable external factors such as bad luck, thereby protecting and maintaining an optimistic view of personal luck. This asymmetric attribution pattern—internal for good outcomes and external for poor ones—reinforces beliefs in one's inherent luckiness, as evidenced in studies where success is more often ascribed to than to luck. From a neuroscientific perspective, beliefs in luck are reinforced by dopamine responses to perceived wins, which activate reward circuitry in the . Dopamine release in the during outcomes, particularly under conditions of , heightens and encodes "lucky" events as salient, encouraging repeated engagement despite objective . This neural mechanism contributes to the persistence of luck beliefs by associating chance successes with pleasurable reinforcement, potentially leading to self-fulfilling behavioral patterns through biased .

Empirical Studies on Outcomes

Empirical research has explored how beliefs in luck influence real-world outcomes, often through experimental and longitudinal designs that track behavioral patterns and long-term effects. Seminal work by Richard , based on a decade-long involving over 400 participants, demonstrated that individuals who view themselves as are more likely to notice and seize due to greater and reduced anxiety, leading to enhanced career advancement and compared to those who perceive themselves as unlucky. In one key experiment, "" participants spotted a hidden (a in a ) four times faster than "unlucky" ones, illustrating how positive luck beliefs foster proactive behaviors that contribute to professional success. Building on this, a 2019 of 844 adults found that personal luckiness beliefs positively correlate with and adaptive , indirectly supporting career trajectories by encouraging risk-taking in opportunities. In the health domain, beliefs in personal luckiness have been linked to greater , particularly through their association with . The Darke and Freedman Beliefs Around Luck Scale, validated in studies with over 300 participants, shows that endorsing "being lucky" predicts higher , confidence, and , while "being unlucky" correlates with and reduced . Post-2020 research during the reinforces this, with a 2023 study of over 3,000 older European adults revealing that —often intertwined with positive luck attributions—buffered against psychological distress and promoted amid and threats. Economic outcomes related to sudden windfalls, such as wins, provide mixed evidence on luck's lasting impact. The classic 1978 study by Brickman et al., involving 22 , 11 paraplegics, and 22 controls, found that winners reported no greater overall than non-winners one year post-win and derived less pleasure from everyday activities, indicating and effects. However, a more recent large-scale of over 3,500 lottery players tracked 5–22 years after wins (average $100,000) revealed sustained positive effects on psychological , including reduced treatment and higher , particularly for moderate wins that avoided social disruptions. To address gaps in traditional studies, recent computational models simulate luck's systemic role in . The Talent vs. Luck , involving 1,000 virtual agents over 40 years, quantifies how random lucky events amplify disparities despite equal distributions, producing power-law patterns observed in real economies and highlighting luck's outsized influence on extreme success. A 2020 extension of this model further dissects how successive lucky breaks entrench gaps, informing policy discussions on mitigating randomness in socioeconomic mobility. These simulations underscore that while individual luck beliefs shape personal outcomes, aggregate random factors perpetuate broader inequalities.

Religious and Mythological Perspectives

Buddhism and Karma

In , the concept of luck is rejected as an illusory notion, with all events understood as the direct results of past actions governed by the law of (Sanskrit: karman; Pali: kamma), rather than random fortune or chance. refers to intentional actions—through body, speech, and mind—that produce corresponding effects across lifetimes, shaping experiences such as , , or misfortune without invoking arbitrary luck. This causal framework, central to the Buddha's teachings, emphasizes personal responsibility and the interdependence of causes and conditions, rendering beliefs in luck as a misunderstanding of karmic processes. The , a foundational collection of the Buddha's verses, underscores this perspective by prioritizing () and ethical conduct over reliance on . For instance, verses 21–23 declare that " is the path to the Deathless" and warn that the heedless are "as if dead already," highlighting how attentive, disciplined action breaks cycles of unwholesome karma rather than depending on transient luck. Similarly, verses 119–120 address apparent injustices, such as virtuous individuals facing hardship while the immoral prosper, attributing these to accumulated karma from and urging steadfast to cultivate positive outcomes. Buddhist practices, particularly (), aim to transcend the perceived cycles of luck by purifying the mind and extinguishing the roots of karma—craving, aversion, and —that perpetuate in samsara. Through techniques like insight meditation (vipassanā), practitioners observe the impermanent and conditioned of phenomena, weakening karmic tendencies and fostering (nirvana), where fluctuations of fortune lose their grip. In Tibetan Buddhism, a variation appears in the concept of tendrel (Tibetan: rten 'brel), which denotes auspicious coincidences or interdependent connections as signs of ripening karma, rather than mere random luck. Rooted in the doctrine of dependent origination, tendrel interprets synchronistic events—such as timely meetings or favorable circumstances—as manifestations of positive karmic affinities from actions, encouraging practitioners to respond with gratitude and further wholesome deeds to enhance spiritual progress. This view integrates karmic causation with practices, viewing such signs as opportunities to align with rather than passive fortune.

Abrahamic Traditions

In Abrahamic traditions, particularly and , the concept of luck is largely reframed through the lens of , emphasizing God's sovereign control over all events rather than random . The , for instance, underscores this in Proverbs 16:33, which states, "The lot is cast into the lap, but its every decision is from the ," illustrating that even mechanisms of apparent chance, such as , fall under God's ultimate authority and reject the notion of autonomous luck. This view positions as the governing force, where outcomes are directed by divine will to fulfill moral and redemptive purposes. Theological debates in these traditions further subordinate luck to grace and divine oversight. In Christianity, Augustine of Hippo contrasted pagan notions of fortune—often depicted as a capricious wheel—with Christian providence, maintaining that what pagans call fortune is in fact governed by God's disposition and will, as discussed in City of God. He argued that grace, not random fortune, restores human freedom and directs life's vicissitudes toward salvation. Similarly, in Judaism, the concept of mazal, often translated as "luck" or "constellation," is interpreted not as impersonal fate but as a channel of divine influence, where astrological influences operate under God's providence rather than independently. This understanding aligns mazal with hashgachah (divine supervision), ensuring that no event escapes God's purposeful governance. Practices in and reflect this theology by promoting as a deliberate alternative to seeking luck through or . Believers are encouraged to petition directly for guidance and outcomes, as seen in biblical examples like Abraham's servant praying for success in finding a for , framing as the reliable path over uncertain fortune. This approach fosters reliance on , viewing as a means to align with God's will and avoid the moral pitfalls of passive luck-seeking. Medieval influences reinforced these perspectives through prohibitions on , seen as an embrace of antithetical to . In , the disqualified gamblers from serving as witnesses and condemned the practice for promoting idleness and unethical gain, with later codes like the upholding these restrictions to preserve communal integrity. In , early , including the Apostolic Canons and the Fourth of 1215, forbade and from games of , imposing penalties like to deter reliance on over . These measures highlighted gambling's incompatibility with a life oriented toward divine purpose.

Hinduism and Fate

In , the concept of luck, known as bhagya, is deeply intertwined with the doctrine of karma, particularly , which refers to the portion of accumulated past actions () that has ripened and manifests as one's current life circumstances and fate. Prarabdha karma determines the unavoidable experiences of the present existence, shaping what might be perceived as fortunate or unfortunate events, while bhagya specifically denotes the destined outcomes arising from these karmic fruits. This framework posits that luck is not random but a predetermined from prior lives, influencing , , and within the cosmic order of . The addresses the interplay between action and luck by emphasizing , where individuals perform duties without attachment to outcomes, recognizing that results are governed by divine will and karmic fate. In verse 2.47, Lord Krishna instructs : "You have a right to perform your prescribed duty, but you are not entitled to the fruits of action. Never consider yourself the cause of the results of your activities, and never be attached to not doing your duty." This teaching underscores that while one must act in alignment with , attachment to "lucky" successes or aversion to misfortunes disrupts , as outcomes are fated through prarabdha. Scholarly interpretations highlight this as a path to transcend the over fate, fostering detachment amid karmic inevitability. Central to invoking fortune in is the worship of , the goddess embodying wealth, prosperity, and auspiciousness, often sought through rituals to mitigate adverse prarabdha and attract positive karmic flows. , consort of , represents not merely material riches but the sustaining energy of abundance, with devotees performing involving offerings of lotuses, coins, and sweets during festivals like to invite her blessings. These ceremonies, including chanting hymns from texts like the Sri Sukta, aim to align one's actions with divine favor, potentially influencing future karma while accepting current fate. The notion of luck extends to the caste system () and reincarnation (samsara), where one's birth into a particular social stratum is viewed as a karmic from previous lives, determining opportunities and perceived . High-caste births are attributed to virtuous past actions, while lower castes reflect unresolved negative karma, with reincarnation offering cycles to improve status through righteous living. This perspective, rooted in texts like the , frames social hierarchy as a fated consequence of prarabdha, motivating adherence to for better rebirths and eventual liberation ().

Islam and Divine Will

In Islamic , the concept of luck is fundamentally subordinated to qadar, the divine decreed by , which encompasses all events as part of His eternal knowledge and will. This belief posits that what may appear as random fortune or misfortune is an illusion, as every occurrence is preordained and recorded in the Preserved Tablet (al-Lawh al-Mahfuz), emphasizing reliance on divine decree rather than . The Quranic stance on this is articulated in Surah Al-Hadid (57:22), which states: "No calamity ˹or blessing˺ occurs on earth or in yourselves without being ˹written˺ in a Record before We bring it into being. This is certainly easy for ." This verse underscores that all affairs, whether perceived as lucky or unlucky, are inscribed prior to their manifestation, rendering the notion of independent luck incompatible with (the oneness of ) and affirming that outcomes stem solely from 's wisdom and power. A prominent hadith illustrates the balance between human effort and trust in divine predestination. The Prophet Muhammad (peace be upon him) advised a man inquiring about securing his camel: "Tie it and rely upon Allah," in response to the question of whether to tether the animal or leave it untied while trusting in God. This narration, found in Jami` at-Tirmidhi, highlights that qadar does not negate practical action but integrates it with tawakkul (reliance on God), where individuals take necessary precautions while submitting outcomes to Allah's decree. In Sufi thought, the idea of "divine luck" manifests as , a or divine effusion that infuses goodness, increase, and sustenance into one's life through piety and proximity to . Sufi masters transmit during rites, viewing it as an invisible force that transforms the soul and yields favorable results as a direct outcome of devotion, rather than arbitrary chance. This concept aligns with qadar by attributing all beneficial occurrences to Allah's grace, accessible via ethical conduct and remembrance of the Divine. Cultural practices in Muslim communities often reflect this framework through ta'weez (amulets inscribed with Quranic verses or divine names), which are deemed permissible when used as reminders of Allah's protection and not as independent talismans. These are balanced with , the active reliance on that encourages effort alongside faith, ensuring that such aids do not contradict belief in but reinforce submission to divine will. Faithful adherence to these principles can foster self-fulfilling outcomes through disciplined actions aligned with piety.

Beliefs and Measurement

Prevalence of Luck Beliefs

Beliefs in luck are widespread globally, with surveys indicating significant adherence across populations. , a 2022 survey conducted by Talker Research for the Casumo revealed that 68% of believe in some form of luck, while 32% do not believe in it at all. This figure aligns with broader patterns of , where specific practices like carrying or believing in are endorsed by substantial minorities. Cross-cultural research highlights variations in the prevalence of luck beliefs, often correlating with societal structures. A 2022 study published in the Journal of Cross-Cultural Psychology analyzed data from over 16,000 participants across 14 countries and found belief in luck to be highest in collectivist regions like and , and lowest in individualist Protestant European countries. For instance, in , a 2013 survey of over 500 professionals indicated that 79% believe in career luck, reflecting stronger endorsement in such contexts compared to , where rates are notably lower due to cultural emphasis on and . Temporal trends show a complex , with declining traditional in societies accompanied by rising interest in luck-related superstitions fueled by platforms since the . , particularly TikTok's "WitchTok" community, has amplified and luck practices, drawing millions of young users and contributing to renewed engagement with these beliefs amid . Demographically, such beliefs are more prevalent among and lower-income groups; a 2014 poll found younger Americans significantly more likely to endorse superstitions than older cohorts, while a 2007 analysis by Torgler reported higher superstitious tendencies among low-income and less-educated individuals across multiple countries.

Factors Shaping Perceptions

Socioeconomic factors significantly influence perceptions of luck, with lower often correlating with greater reliance on luck as an explanatory mechanism for life outcomes. Individuals in or low-income groups tend to attribute or more to luck than to personal effort, as evidenced by analyses of data showing that respondents from lower economic strata are more likely to endorse luck as a primary determinant of and . This pattern is reinforced by studies indicating an inverse relationship between socioeconomic status and superstitious beliefs related to luck, where lower status heightens vulnerability to viewing events as controlling forces. Educational attainment and science literacy play a key role in diminishing supernatural interpretations of luck. Higher levels of formal , particularly in scientific disciplines, are associated with reduced adherence to beliefs in luck as a mystical or uncontrollable force, as curricula have been shown to lower pseudoscientific and convictions by 6.8–28.9% among university students. This effect stems from enhanced analytical skills that promote attributions to probabilistic or effort-based causes over luck. Media representations amplify perceptions of luck through narratives that emphasize in success stories. Exposure to rags-to-riches tales in films, television, and news fosters beliefs in upward mobility driven by , making viewers more inclined to perceive luck as a pivotal societal force rather than systemic factors. For instance, analyses of patterns reveal that such stories heighten about personal luck while downplaying structural barriers. From a perspective, early to and cultural stories shapes enduring adult views on luck. Children immersed in tales featuring fortunate or fateful elements often internalize luck as an active agent, with these beliefs persisting into adulthood unless challenged by later experiences.

Modern Applications in Society

In contemporary business practices, particularly within the of the , the concept of "luck surface area" has gained traction as a for enhancing serendipitous opportunities through proactive networking and visibility. Coined by entrepreneur Jason Roberts, this idea posits that an individual's or venture's potential for beneficial encounters is directly proportional to the volume of activities undertaken and the extent to which those efforts are communicated to others, such as via or professional events. For instance, founders are advised to increase their "doing" by prototyping ideas and attending industry meetups, while amplifying their "telling" through blogging or posts to broaden connections that may lead to partnerships or funding. This approach underscores a shift from passive reliance on to engineered , aligning with broader entrepreneurial advice emphasizing relational capital over isolated . In sports analytics, debates surrounding luck's influence versus strategic data-driven decisions have been prominently featured in , exemplified by the principles outlined in Michael Lewis's . The approach adopted by the in the early 2000s leveraged to minimize variance attributable to luck, such as unpredictable game outcomes, by prioritizing undervalued metrics like over traditional . Empirical analyses reveal that luck accounts for approximately 27.8% of win variance in seasons, highlighting how random factors like weather or umpiring can skew results despite skill-based optimizations. This tension persists in modern discussions, where analytics tools aim to quantify and mitigate such stochastic elements, enabling teams to build more consistent performance models. Public policy has increasingly incorporated lotteries as a mechanism for funding social programs since their resurgence in the United States post-1960s, with New Hampshire launching the first modern state lottery in 1964 to support education without raising taxes. By 1997, 37 states operated lotteries generating $34 billion in annual sales, earmarked primarily for public goods like schools and infrastructure. However, ethical concerns have mounted, as these systems function as regressive taxes disproportionately burdening lower-income households, who spend a higher percentage of their earnings on tickets despite lower odds of winning. Critics argue this exacerbates inequality, with studies showing that lottery participation correlates with financial vulnerability, prompting calls for transparency in revenue allocation and addiction mitigation measures. In the technology sector, algorithms that simulate elements of luck through have emerged as tools to enhance fairness in -driven decisions, particularly in scenarios. A 2024 study from demonstrates that introducing structured randomization into models can reduce in outcomes, such as job recommendations or approvals, by preventing deterministic patterns that favor certain demographics. Similarly, on random in training reveals significant variability in group fairness metrics across seeds, underscoring the need for standardized to ensure reliable, unbiased applications. These techniques draw on probabilistic principles to mimic real-world uncertainty, promoting more equitable algorithmic .

References

  1. [1]
    Origins and development of the concept of luck - PubMed Central
    First, luck is often thought of as a supernatural causal force, one that can be harnessed through the use of lucky objects and behaviors to confer positive ...
  2. [2]
    Aristotle and Contemporary Theories of Luck - MDPI
    Luck is a matter of having something good or bad happen that lies outside the horizon of effective foreseeability. There is thus a significant difference ...<|control11|><|separator|>
  3. [3]
    (PDF) The Psychology and Philosophy of Luck - ResearchGate
    Aug 9, 2025 · Accordingly, this article offers a specification of what is core to the notion of luck and highlights how this analysis can aid further research ...
  4. [4]
    Good fortune, luck, opportunity and their lack: How do agents ...
    They defined good luck as a “stable characteristic that consistently favours some people but not others, and is especially likely to favour oneself ”. In ...
  5. [5]
    [PDF] A Sociology of Luck
    For the purposes of this article, then, I define a lucky event or occurrence as one that involves chance, is consequential (either beneficial or harmful), and ...
  6. [6]
    Full article: Scientists' views on (moral) luck - Taylor & Francis Online
    Aug 3, 2020 · The present article discusses the results of four focus groups with scientists, who were asked about their views on luck in their fields and its moral ...
  7. [7]
    What Is Luck? | Psychology Today
    Jul 16, 2021 · People who believe in luck describe themselves as either lucky or unlucky as if luck were a stable and enduring personality characteristic.
  8. [8]
    The Four Faces of Luck.
    Luck means "good luck", while in our general discussion, "luck" will refer to either good luck or bad luck; in practice this shouldn't cause any confusion.
  9. [9]
    (PDF) Luck's Role in Business Success: Why it's too Important to ...
    Aug 6, 2025 · Luck is a complex concept that has received extensive exposure in the philosophical literature. However, as a variable relating to an ...<|control11|><|separator|>
  10. [10]
  11. [11]
    Luck - Etymology, Origin & Meaning
    Originating c. 1500 from early Middle Dutch "luc" meaning "happiness," luck means good or bad fortune and also the verb "to have good luck" (1945).Missing: lukkr | Show results with:lukkr
  12. [12]
    Lukka - Old Icelandic Dictionary
    Meaning of Old Icelandic word "lukka" in English. As defined by A Concise Dictionary of Old Icelandic (Geir Zoëga):. lukka: f. luck, good fortune.Missing: lukkr | Show results with:lukkr
  13. [13]
    [PDF] FATE, FORTUNE, CHANCE, AND LUCK IN CHINESE AND GREEK
    The root meaning of yun is to carry, transport, or use, and also to revolve. The derivative meaning is fortune, luck, fate, for example in the phrases yun qi or ...
  14. [14]
  15. [15]
    Luck | Internet Encyclopedia of Philosophy
    This article gives an overview of current philosophical theorizing about the concept of luck itself.
  16. [16]
    Is luck real? A probability expert untangles the difference between ...
    Oct 4, 2018 · Is luck real? A probability expert untangles the difference between fate and chance. Can someone truly be lucky or are life events just random?
  17. [17]
    [PDF] Luck, fate, and fortune: the tychic properties - PhilArchive
    Apr 1, 2024 · The paper offers an account of luck, fate, and fortune. It begins by showing that extant accounts of luck are deficient because they do.
  18. [18]
    Beliefs around luck: Confirming the empirical conceptualization of ...
    The traditional explanation views luck to be akin to chance, in that it is external to the individual and an unpredictable influence upon events.Missing: objects | Show results with:objects
  19. [19]
    Investigating the relationship between luck beliefs causal ... - Nature
    May 28, 2025 · This study investigated the relationship between luck beliefs, causal attribution, and well-being through a card game experiment.
  20. [20]
    [PDF] “What actually happens”; Tyche, Fortuna and the Logic of History
    Apr 7, 2011 · In its more everyday sense, the notion of “tyche” may simply express an awareness of what actually comes about in the context of what does not, ...
  21. [21]
    The phenomenon of chance in ancient Greek thought - Scholars' Bank
    This dissertation engages three facets of Greek philosophy: (1) the phenomenon of tyche (chance, fortune, happening, or luck) in Aristotle's Physics, ...
  22. [22]
    Stoic Ethics | Internet Encyclopedia of Philosophy
    The Stoics held that virtue is the only real good and so is both necessary and, contrary to Aristotle, sufficient for happiness; it in no way depends on luck.Missing: fortune | Show results with:fortune
  23. [23]
  24. [24]
  25. [25]
    Moral Luck - Stanford Encyclopedia of Philosophy
    Jan 26, 2004 · Moral luck occurs when an agent can be correctly treated as an object of moral judgment despite the fact that a significant aspect of what she is assessed for ...
  26. [26]
    Alexander Fleming (1881–1955): Discoverer of penicillin - PMC - NIH
    “I did not invent penicillin. Nature did that. I only discovered it by accident.” Alexander Fleming was a Scottish physician-scientist who was recognised ...
  27. [27]
  28. [28]
    The Gambler's Fallacy: Key Examples and Impact - Investopedia
    If before any coins were flipped a gambler were offered a chance to bet that 11 coin flips would result in 11 heads, the wise choice would be to turn it down ...
  29. [29]
    [PDF] The hot hand fallacy and the gambler's fallacy: Two faces of ...
    Without varying initial expectations about random sequences, the representa- tiveness heuristic cannot explain why, for example, we do not fallaciously perceive ...
  30. [30]
    Gambler's Fallacy: Overview & Examples - Statistics By Jim
    If you flip a coin and get ten heads in a row, the probability of the following coin toss being heads again is still 50/50. Random processes don't have a ...<|control11|><|separator|>
  31. [31]
    (PDF) Cognitive Biases in Playing the Lottery: Estimating the Odds ...
    Aug 7, 2025 · Three experiments were conducted to examine the operation of the representativeness and anchoring and adjustment heuristics in lottery play.
  32. [32]
    The Cognitive Psychology of Lottery Gambling: A Theoretical Review
    This review provides a summary of current research findings and outlines the main cognitive theories of gambling as related to non-pathological lottery play.
  33. [33]
    THE MODAL ACCOUNT OF LUCK - jstor
    That is, the possible world in which one wins a lottery, while probabilistically far-fetched, is in fact modally close. The possible world in which one is ...
  34. [34]
    [PDF] MORAL LUCK - rintintin.colorado.edu
    Actual results influence culpability or esteem in a large class of unquestionably ethical cases ranging from negligence through political choice. Thomas Nagel.
  35. [35]
    Dualism - Stanford Encyclopedia of Philosophy
    Aug 19, 2003 · Dualism usually enters philosophy as a response to the mind-body problem, where its main competitor is materialism, the form of monism that says ...
  36. [36]
    [PDF] Why Every Theory of Luck is Wrong - departments.bloomu.edu
    The three theories of luck (probability, modal, and control) are defective, with counterexamples like lucky necessities, skillful luck, and diachronic luck.
  37. [37]
    [PDF] Effects of Priming the Concept of Luck on Task Persistence
    The study found no significant difference in persistence between luck and neutral priming, but those who believe in luck persisted longer when primed with luck.
  38. [38]
    [PDF] Belief in stable and fleeting luck and achievement motivation
    Belief in stable luck positively relates to achievement motivation, and this effect is mediated by personal agency beliefs.<|separator|>
  39. [39]
    Superstition in health beliefs: Concept exploration and development
    Mar 26, 2020 · What are the consequences of superstition? The prevalence of physical problems, increased health care costs, Intellectual inertia, fear of ...
  40. [40]
    (PDF) The Impact of Superstitious Ideas on the Students' Failure: An
    Jan 25, 2023 · Students are hence more likely to fail. The results indicated that health-related superstitions are positively associated. with student failure.
  41. [41]
    Keep Your Fingers Crossed!: How Superstition Improves Performance
    May 28, 2010 · Activating a superstition boosts participants' confidence in mastering upcoming tasks, which in turn improves performance.Missing: positive | Show results with:positive
  42. [42]
    Luck vs. Skill in Gambling - BetMGM
    Feb 7, 2024 · Luck refers to random chance and events that are out of the gambler's control. Games based purely on luck include roulette, slots, keno, and bingo.
  43. [43]
    How Casinos Ensure Profit: Understanding the House Edge
    This built-in advantage, known as the house edge, ensures that over time, the casino profits while players ultimately lose more than they win.
  44. [44]
    Gambler's fallacy - The Decision Lab
    Gambler's fallacy refers to our belief that the probability of a random event occurring in the future is influenced by the past history of that type of event ...
  45. [45]
    A Corpus of Gaming Boards from Roman Britain - Academia.edu
    The corpus catalogs approximately 100 gaming boards from Roman Britain, emphasizing military gaming activities. Ludus latrunculorum represents 59% of identified ...
  46. [46]
    History of Slot Machines and VGTs | Prairie State Gaming Inc.
    The first slot machine was invented in 1894 in San Francisco. Pioneered by Charles Fey, his device, known as the Liberty Bell, features the familiar design.Missing: ancient | Show results with:ancient
  47. [47]
    Psychology of Gambling - Understanding Why We Take Risks
    Jan 9, 2025 · Gambling taps into how our brains are wired—it triggers a combo of psychological and emotional responses that keep us playing even when we know ...
  48. [48]
    The Cultural Evolution of Games of Chance - NIH
    “White pigeon” lottery 白鴿票 has sometimes been suggested to be the original keno-style lottery, where players select from a pool of available numbers and hope ...
  49. [49]
    Powerball Prize Chart
    Powerball® Odds​​ The overall odds of winning a prize are 1 in 24.87. The odds presented here are based on a $2 play (rounded to two decimal places).
  50. [50]
    Gambling on the Lottery: Sociodemographic Correlates Across ... - NIH
    On the other hand, critics “view lotteries as a tax that falls disproportionately on the poor and uninformed” (p. 10). There is support for both positions ...
  51. [51]
    The Lottery Tax – Cornell Journal of Law and Public Policy
    Feb 20, 2013 · The Lottery also imposes a punitive tax on the poor because of the disproportionate number of poor and uneducated people who buy lottery tickets ...Missing: sources | Show results with:sources
  52. [52]
    the St. Petersburg paradox - Stanford Encyclopedia of Philosophy
    Jul 30, 2019 · The St. Petersburg paradox was introduced by Nicolaus Bernoulli in 1713. It continues to be a reliable source for new puzzles and insights in decision theory.The History of the St... · The Modern St. Petersburg... · The Pasadena Game
  53. [53]
    Superstitions Have Evolutionary Basis | Live Science
    Jun 8, 2011 · Researchers are finding that superstitions and belief in luck have an evolutionary basis and may be linked with learning.
  54. [54]
    Why Do People Knock on Wood for Luck? - History.com
    Aug 29, 2016 · One common explanation traces the phenomenon to ancient pagan cultures such as the Celts, who believed that spirits and gods resided in trees.
  55. [55]
    Why we knock on wood for luck - The Conversation
    Jan 30, 2020 · The common explanation for knocking on wood claims the ritual is a holdover from Europe's pagan days, an appeal to tree-dwelling spirits to ward off bad luck.<|separator|>
  56. [56]
    Cross Your Fingers – Luck, Lies, & Ladders - Folklore Thursday
    Mar 22, 2018 · Some believe this was also the secret sign used by Christians in the times when Christianity was outlawed, as the linking of the thumb and index ...
  57. [57]
  58. [58]
    The Lucky 4-Leaf Clover: Facts and Myths - The Spruce
    Feb 3, 2025 · Four-leaf clovers are said to bring good luck, stemming from Celtic priests, and each leaf represents faith, hope, luck, and love.Facts and Myths About Four... · How to Find a Four-Leaf Clover
  59. [59]
    Why Four-Leaf Clovers Are Considered Lucky: Facts and Myths
    Feb 6, 2025 · The phrase “the luck of the Irish” stems from from the idea that four-leaf clovers are mostly found in Ireland. Sir John Melton was the ...
  60. [60]
    Jinx, Control, and the Necessity of Adjustment: Superstitions Among ...
    Oct 5, 2021 · Superstitions have been a basis for decision-making throughout human history. These beliefs have an evolutionary role related to humans' ...
  61. [61]
    The everyday magic of superstition | BPS
    Oct 12, 2016 · He adds: 'There is evidence that positive, luck-enhancing superstitions provide a psychological benefit that can improve skilled performance.
  62. [62]
    The Science Behind Pre-Game Rituals: Superstition or Strategy?
    Jul 18, 2024 · Pre-game rituals provide athletes with a psychological anchor, giving them a sense of control and routine in the face of uncertainty.
  63. [63]
    The Rituals and Superstitions of a Champion - Glorious Sport
    Sep 8, 2024 · Top athletes have always and still turn their attention to something more intangible – rituals and superstitions. Think tattoo's, lucky charms, pre-race ...
  64. [64]
    Picking A Number - Berkeley Learning Platform
    For instance, the number 7 is often regarded as lucky in many cultures, owing to its mystical and spiritual associations. On the other hand, the number 13 is ...
  65. [65]
    Cultural Superstitions and the Price Endings Used in Chinese ... - jstor
    ABSTRACT. In traditional Chinese superstition, the numerical digit 8 is as sociated with prosperity and good luck and the digit 4 is associ ated with death.
  66. [66]
    Horseshoes - As Luck Would Have It - Images - Parks & Open Space
    Dec 2, 2016 · For instance, many believe that to hang a horseshoe with the ends pointing upward, is good luck as it acts as a storage container for any good ...Missing: upturned | Show results with:upturned
  67. [67]
    Magical Thinking: Superstitions and Other Persistent Notions - ADA
    Many cultures have superstitions about black cats, ascribing to them either good or bad luck. Historically, in much of. Europe, black cats were associated ...
  68. [68]
    The Magic and Misunderstanding: Celebrating National Black Cat Day
    Oct 27, 2025 · If you spot a black cat in Japan, you will gain luck in finding love. ... Black cats are associated with good luck in parts of Asia and the UK.Missing: significance | Show results with:significance
  69. [69]
    Pythagoreanism - Stanford Encyclopedia of Philosophy
    Mar 29, 2006 · Pythagoreanism is the philosophy of the ancient Greek philosopher Pythagoras (ca. 570–ca. 490 BCE), which prescribed a highly structured way of life.
  70. [70]
    Why is 13 considered unlucky? - University of South Carolina
    Jan 9, 2023 · The number 13 may be associated with some famous but undesirable dinner guests. In Norse mythology, the god Loki was 13th to arrive at a ...
  71. [71]
    Friday the 13th: Why the fear?
    No readable text found in the HTML.<|separator|>
  72. [72]
    Law of Large Numbers | Strong and weak, with proofs and exercises
    A Law of Large Numbers (LLN) is a proposition that provides a set of sufficient conditions for the convergence of the sample mean to a constant.The sample mean · Weak Laws · Strong Laws · Kolmogorov's Strong Law of...
  73. [73]
    Law of Large Numbers -- from Wolfram MathWorld
    A law of large numbers is one of several theorems expressing the idea that as the number of trials of a random process increases, the percentage differenceMissing: explanation | Show results with:explanation
  74. [74]
    Binomial Distribution -- from Wolfram MathWorld
    The binomial distribution gives the discrete probability distribution P_p(n|N) of obtaining exactly n successes out of N Bernoulli trials.
  75. [75]
    Binomial distribution | Properties, proofs, exercises - StatLect
    The binomial distribution is a univariate discrete distribution used to model the number of favorable outcomes obtained in a repeated experiment.
  76. [76]
    Reversion to the Mean -- from Wolfram MathWorld
    Reversion to the mean, also called regression to the mean, is the statistical phenomenon stating that the greater the deviation of a random variate from its ...Missing: explanation | Show results with:explanation
  77. [77]
    [PDF] ANTHROPOLOGICAL MISCELLANEA. - galton.org
    each case divide the number of cases above the Median or mean value, and those below it, respectively into equal parts. Thus in each column there are (1) 25 ...
  78. [78]
    Monte Carlo Method -- from Wolfram MathWorld
    Any method which solves a problem by generating suitable random numbers and observing that fraction of the numbers obeying some property or properties.
  79. [79]
    STAT340 Lecture 02: Monte Carlo
    These notes discuss Monte Carlo methods, a class of simulation-based methods that seek to avoid complicated and/or intractable mathematical computations.
  80. [80]
    [PDF] The Belief in Good Luck Scale - UC Berkeley Statistics Department
    The purpose of the studies reported here was to develop a reliable measure of irrational beliefs about luck and then examine some of the implications these ...
  81. [81]
    Replication of the Superstition and Performance Study by
    Jan 1, 2014 · The prevalence of superstitious behavior has thus been classically explained as an effect of confirmation bias rather than a true association ...
  82. [82]
    [PDF] The Illusion of Control - Nuovo e Utile
    Subjects in the low-involvement condition were given their three-digit lottery ticket on the day of purchase. Page 12. 322. ELLEN J. LANGER. Dependent Measures.
  83. [83]
    The illusion of control. - APA PsycNet
    Conducted a series of 6 studies involving 631 adults to elucidate the "illusion of control" phenomenon, defined as an expectancy of a personal success ...
  84. [84]
    [PDF] An Attributional Theory of Achievement Motivation and Emotion
    For one individual, luck may be perceived as an external, unstable cause of success; for another, luck is conceived as an enduring personal property. Indeed, a ...
  85. [85]
    Ability or luck: A systematic review of interpersonal attributions of ...
    ... attributional theory, focusing on how individuals explain their own success or failure. Thus, the area of research that focuses on interpersonal ...Missing: externalizing | Show results with:externalizing
  86. [86]
    What motivates gambling behavior? Insight into dopamine's role - NIH
    Nov 12, 2013 · It is commonly believed that monetary gain is the cause of gambling behavior in humans. Mesolimbic dopamine (DA), the chief neuromediator of incentive ...Missing: lucky | Show results with:lucky
  87. [87]
    [PDF] A ten-year scientific study into the nature of luck has revealed that, to ...
    Personality tests revealed that unlucky people are generally much more tense and anxious than lucky people, and research has shown that anxiety disrupts.Missing: longitudinal 2010s
  88. [88]
    Do the happy-go-lucky? | Current Psychology
    Dec 6, 2019 · Our analyses (N = 844) find broadly that happiness is negatively associated with Belief in Luck, but positively associated with Belief in Personal Luckiness.Introduction · Belief In Luck And Happiness · Methods
  89. [89]
    Exploring the Role of Resilience and Optimism during the COVID-19 ...
    Jan 25, 2023 · This study examined how resilience and optimism were related to psychological well-being among older European adults during the early pandemic.Missing: luck | Show results with:luck
  90. [90]
    [PDF] The role of gratitude and optimism on the resilience of COVID-19 ...
    Jan 31, 2024 · The implication of this research is to increase resilience in COVID-19 survivors by increasing gratitude and optimism. Keywords. COVID-19 ...<|separator|>
  91. [91]
    Lottery winners and accident victims: is happiness relative? - PubMed
    As predicted, lottery winners were not happier than controls and took significantly less pleasure from a series of mundane events. Study 2 indicated that these ...
  92. [92]
    Long-Run Effects of Lottery Wealth on Psychological Well-Being
    We surveyed a large sample of Swedish lottery players about their psychological well-being 5–22 years after a major lottery event and analysed the data ...
  93. [93]
    [PDF] Talent vs Luck: the role of randomness in success and failure - arXiv
    Jul 9, 2018 · In this paper, starting from few very simple and reasonable assumptions, we have presented an agent-based model which is able to quantify the ...
  94. [94]
    the origins of extreme wealth inequality in the talent versus luck model
    Jun 16, 2020 · The original simulation-based model demonstrated that the distribution ... luck in getting success by means of a schematic agent-based model.
  95. [95]
    Devadaha Sutta - Access to Insight
    The first point concerns the Buddhist teaching on action, or kamma (karma). ... luck, which is why they now feel such fierce, sharp, racking pains. (4) "If ...
  96. [96]
    The Buddha's Words on Kamma - Access to Insight
    The Buddha says all intentional actions, whether thoughts, speech or bodily actions, however expressed, are kamma and lead the doer of them to experience a ...
  97. [97]
  98. [98]
    What is Tendrel? | Lion's Roar
    In colloquial Tibetan, tendrel indicates “luck” or “serendipity.” There, the “dependent relationship” means “things coming together in a favorable way.” ...
  99. [99]
    What does Proverbs 16:33 mean? - BibleRef.com
    This proverb points out that even those things we think of as pure chance are still under God's sovereign control.Missing: providence | Show results with:providence
  100. [100]
    From Fate to Providence: Saint Augustine's Reinterpretation of ...
    Jun 15, 2024 · “That which is called Fortune is, without doubt, the disposition of Divine Providence concerning each one of us” (Augustine, City of God).Missing: luck | Show results with:luck
  101. [101]
    Luck: Mazal (מַזַּל) - Written in Heaven, Translated on Earth
    Mazal tov (“good luck”) is the colloquial Jewish expression of congratulations, the traditional felicitation given at a wedding, bat mitzvah, or brit.
  102. [102]
    Praying for Luck | Reform Judaism
    Nov 14, 2011 · On his way to find a wife for Isaac, Abraham's servant arrives at a watering hole and offers this prayer, "Eternal One, God of my master Abraham ...
  103. [103]
    Are Jews Allowed to Gamble? | My Jewish Learning
    While there is no explicit Jewish prohibition on gambling, the rabbis of the Talmud did not have a positive view of the practice.
  104. [104]
    Take no chances: Survey on church gambling - U.S. Catholic
    Jun 18, 2011 · Although the Bible does not forbid it outright, early Christians were largely opposed, with some of the earliest accounts of canon law ...
  105. [105]
    Pramanas, Karma and the Pursue of Happiness
    Oct 18, 2014 · Question: Is bhagya different from prarabdha? Answer: Bhagya is another word for prarabdha. Question: Specifically I would like need to know ...Missing: scholarly | Show results with:scholarly
  106. [106]
    What is Sanchit-karma and Prarabdha? - Sanatan.org
    Jan 12, 2020 · Definition of Prarabdha. Prarabdha-karma is that fraction of sanchit-karma consequence of which has to be faced in a particular birth. The ...
  107. [107]
    Bhagya, Bhāgya, Bhāgyā: 23 definitions - Wisdom Library
    Oct 18, 2025 · Bhāgya (भाग्य) refers to “good fortune”, according to the Netratantra of Kṣemarāja: a Śaiva text from the 9th century in which Śiva (Bhairava) teaches Pārvatī ...
  108. [108]
    BG 2.47: Chapter 2, Verse 47 - Bhagavad Gita, The Song of God
    3) Even while working, give up the pride of doership. 4) Do not be attached to inaction. Do your duty, but do not concern yourself with the results. We have the ...Missing: fate | Show results with:fate
  109. [109]
    [PDF] The Theme of Attachment-Detachment in Shree Madhbhagavad Gita:
    Aug 9, 2024 · Through the dialogue between Lord Krishna and. Arjuna, Gita offers a path to navigate the complexities of attachment and detachment, encouraging ...<|separator|>
  110. [110]
    (PDF) THE FUNCTIONS OF GODDESS LAKSHMI - ResearchGate
    The purpose of this article is to study the functions of the Goddess Lakshmi, who plays an important role in Indian mythology and Hinduism.
  111. [111]
    Karma, reincarnation, and medicine: Hindu perspectives on ...
    May 29, 2009 · In this article, we report on a topic central to this discussion among Indian Americans: karma and reincarnation. Both concepts are important beliefs.
  112. [112]
    Hindu Eschatology and the Indian Caste System - jstor
    VIRTUALLY ALL INTERPRETERS OF HINDUISM AGREE that the notions of samsara, karma, and moksa are central to nearly all varieties of Hinduism.
  113. [113]
    Predestination vs. Free Will in Islam: Understanding Allah's Qadr
    Jul 31, 2017 · Since Allah is in control of destiny, the only way to secure a good fate is to appeal to Allah through worship, prayer, and good deeds. We have ...
  114. [114]
    Are We Born Lucky or Unlucky? - About Islam
    Jun 2, 2020 · Basically, qada' or destiny means that everything that happens to us, the people around us and our universe happens by the will of Allah. The ...
  115. [115]
    Surah Al-Hadid - 22 - Quran.com
    No calamity ˹or blessing˺ occurs on earth or in yourselves without being ˹written˺ in a Record before We bring it into being. This is certainly easy for Allah.
  116. [116]
    Jami` at-Tirmidhi 2517 - Chapters on the description of the Day of ...
    "O Messenger of Allah! Shall I tie it and rely(upon Allah), or leave it loose and rely(upon Allah)?" He said: "Tie it and rely(upon Allah)."
  117. [117]
    What does Barakah (Blessing) mean? - Islamiqate Culture,allah,qur'an
    Mar 12, 2024 · Barakah is a multifaceted concept that transcends mere material abundance. It signifies a divine favor from Allah (SWT) that enriches our lives in various ways.
  118. [118]
    'Sufism' from Oxford Islamic Studies Online - Muslim Journeys
    The rite is understood to transmit an invisible spiritual force or blessing (barakah) that makes possible the transformation of the disciple's soul. The master ...Missing: luck | Show results with:luck
  119. [119]
    The Use of Amulets (Ta'wiz) in Islam - IlmGate
    Dec 10, 2017 · Amulets (ta'wiz) are permissible if they contain Allah's names/attributes, are in Arabic, avoid disbelief, and the user believes Allah empowers ...
  120. [120]
    Merits of the Soul: Trust in God (tawakkul) | Al-Islam.org
    Tawakkul guarantees success, provides relief from evil, protection from enemies, and saves from anxiety, stress, and depression.
  121. [121]
    Do Americans believe in good luck? - NEWS10 ABC
    Mar 4, 2022 · Sixty-eight percent of Americans believe in one kind of luck or another. Thirty-two percent said they don't believe in luck at all.
  122. [122]
    Belief in Luck and Precognition Around the World - Sage Journals
    Jul 14, 2022 · The primary aim of the present study is to quantitatively examine cross-cultural variation in belief in luck and precognition. To do this, we ...
  123. [123]
    79% of Indian professionals believe in career luck - Business Standard
    Jan 21, 2013 · Seventy-nine per cent of the more than 500 professionals surveyed in India believe in career luck. Out of the fifteen countries in which ...
  124. [124]
    WitchTok: the rise of the occult on social media has eerie parallels ...
    Oct 28, 2021 · A vast online community of young occultists, tweeting and retweeting the latest theories and controversies, and using TikTok to share their craft.Practical Magic · The Occult Renaissance · One Devil Too ManyMissing: post- | Show results with:post-
  125. [125]
    Young Americans are more superstitious - YouGov
    Feb 18, 2014 · Only 13% of Americans declare themselves superstitious, but more than one third of all people think picking up a penny is good luck.<|control11|><|separator|>
  126. [126]
    Inglehart–Welzel Cultural Map - World Values Survey
    The Inglehart-Welzel map shows two dimensions: traditional vs. secular-rational values, and survival vs. self-expression values, linking socioeconomic ...
  127. [127]
    Reducing Pseudoscientific and Paranormal Beliefs in University ...
    Feb 9, 2018 · However, the relationship between science literacy and reduced paranormal and pseudoscientific beliefs remains unclear, as other studies have ...
  128. [128]
    [PDF] Entertaining Beliefs in Economic Mobility
    Sep 10, 2018 · Further, such beliefs are stronger in local communities with higher income inequality and lower economic mobility (Alesina, Stantcheva and Teso ...Missing: youth | Show results with:youth<|control11|><|separator|>
  129. [129]
    Understanding the 4 Types of Luck Will Make You Instantly Luckier
    May 8, 2023 · “You increase your luck surface area through simple movement.” In the networking example in the introduction, it may be blind luck that you ...
  130. [130]
    How to Use Writing to Make Yourself a Much Luckier Person
    Aug 23, 2022 · ... luck surface area.” Back in 2010, Roberts argued that the amount of luck you can expect is the product of how much cool stuff you do and how ...
  131. [131]
    DuoLingo's CEO Says This Mindset Is the Secret of Success
    Oct 1, 2025 · Entrepreneur Jason Roberts captured this idea with the concept of a “luck surface area.” The more you put yourself out there—by meeting ...
  132. [132]
    Moneyball and the Baseball Players' Labor Market - Sage Journals
    The evidence we present suggests there has been no significant change to baseball's labor market. Contrary to the argument offered in Moneyball, this is because ...
  133. [133]
    Quantifying Randomness in Sports - Chris Teeter
    Oct 22, 2023 · Luck's contribution to winning varies: 13.3% in NBA, 27.8% in MLB, 31.4% in EPL, 34.4% in NHL, and 43.1% in NFL.
  134. [134]
    Luck, Skill, and Head-to-Head Competition in Major League Baseball
    Dec 18, 2020 · The analysis of variance enables us to see if the variance of season victory totals is significantly greater than that for head-to-head ...Missing: Moneyball | Show results with:Moneyball
  135. [135]
    [PDF] 1 State Lotteries at the Turn of the Century: Report to the National ...
    Apr 23, 1999 · State lotteries, illegal before 1964, are now in 37 states and D.C. Sales grew from $2B in 1973 to $34B in 1997, with main games including ...
  136. [136]
    Lotteries Are a Regressive Tax. Why Do Progressive Governors ...
    Apr 24, 2023 · When states advertise that they use lottery profits for schools, they are misrepresenting the situation. By directing lottery profits for such a ...
  137. [137]
    Are Lottery Taxes Regressive? (And What Does "Regressive" Mean ...
    Jun 16, 2006 · Many studies have attempted to prove or disprove this, and the majority of experts believe lotteries are regressive.
  138. [138]
    Study: When allocating scarce resources with AI, randomization can ...
    Jul 24, 2024 · In a new paper, they show how randomizing a model's decisions in a structured way can improve fairness in certain situations.Missing: seeding luck simulation
  139. [139]
    On The Impact of Machine Learning Randomness on Group Fairness
    We investigate the impact on group fairness of different sources of randomness in training neural networks.
  140. [140]
    Assessing the Macro and Micro Effects of Random Seeds on Fine ...
    Mar 10, 2025 · In this study, we systematically evaluate the effects of random seeds on LLMs using the GLUE and SuperGLUE benchmarks.