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Three Card Poker

Three Card Poker is a casino table game derived from traditional poker variants, in which players are dealt three cards from a standard 52-card deck and wager on the strength of their hand either against the dealer or against a fixed payout schedule based on hand rankings adapted for three cards. The game was invented in 1994 by British poker player and game designer Derek J. Webb, who sought to develop a simplified poker format suitable for casino play that emphasized quick decisions and strategic betting without requiring multiple rounds of community cards. Webb patented the game in the United States on November 11, 1997, under U.S. Patent No. 5,685,774, which outlines the core method of play involving three-card hands, ante and play wagers, and optional side bets for bonus payouts. Invented in the United Kingdom, the game was first introduced to casinos in the United States in the late 1990s after licensing agreements, becoming one of the first proprietary table games to achieve widespread adoption due to its accessibility for novice players and favorable house edge of approximately 3.37% on the ante-play bet when following optimal strategy. In standard gameplay, each player places an mandatory ante bet and may optionally place a Pair Plus bet before the deal. Three cards are then dealt face down to each player and the dealer. Upon reviewing their hand, players choose to fold (losing the ante) or place a play bet equal to the ante to continue. The dealer reveals their hand, which must qualify with at least queen-high; if not, the ante pays 1:1 and the play bet pushes. If the dealer qualifies, hands are compared using poker rankings: (three consecutive cards of the same suit), three of a kind, straight, flush, pair, or (with ace high). Winning play and ante bets pay 1:1, while the Pair Plus bet offers escalating payouts independent of the dealer, such as 40:1 for a straight flush or 1:1 for a pair. Variations exist, including player-banked formats in certain jurisdictions and optional six-card bonus bets combining player and dealer cards into a five-card hand. Three Card Poker has become a staple in casinos globally, ranking as the third most popular poker-based table game in behind and , with thousands of tables installed worldwide since its commercialization. Its appeal lies in the blend of poker familiarity, rapid rounds lasting under two minutes, and multiple betting options that cater to both casual and skilled players.

History

Origins and Patent

Three Card Poker was invented in 1994 by Derek J. Webb, a poker enthusiast and game designer, who sought to develop a streamlined that captured the strategic appeal and excitement of traditional poker while enabling faster play and resolution compared to five-card variants, thereby making it more attractive to casino operators aiming to maximize table turnover. Webb drew inspiration from the British card game Brag, adapting its three-card format and simple betting structure into a poker-based variant suitable for environments, emphasizing quick decisions and reduced dealing time to address the slower pace of games like or . Prior to formal patenting, Webb conducted early prototypes and testing of the game in non-casino settings, refining the rules for ante and play betting options, hand rankings, and dealer qualification mechanics to ensure balanced play and player engagement. In spring 1995, he introduced an initial version at the , a membership card club in , , where it underwent trial play to gauge reception and identify adjustments before broader commercialization efforts. Webb filed a for the game on July 19, 1995, which was granted by the Patent and Trademark Office on November 11, 1997, as U.S. Patent No. 5,685,774, titled "Method of Playing Card Games." This specifically covered the core gameplay mechanics of Three Card Poker, including the dealing of three-card hands to players and the dealer, the optional play bet after viewing the player's hand, and the payout structures based on hand strength against the dealer's qualifying hand (Queen-high or better), establishing protection for the game's unique combination of poker elements and simplified wagering. Following initial rejections from casinos in Atlantic City, , and Reno, Three Card Poker was first adopted by the Grand Casino Gulfport in in early 1996, where inventor personally trained the dealers. This marked the game's entry into the U.S. casino market, driven by the venue's vice president of table games, Barry Morris, who recognized its potential as a fast-paced poker variant suitable for casino floors. In 1999, Shuffle Master Inc. acquired the rights to Three Card Poker for distribution and manufacturing outside the from Prime Table Games, enabling broader commercialization through its established network of casino equipment suppliers. The company, later acquired by in 2013 and subsequently by Scientific Games (now ), promoted the game aggressively, contributing to its expansion across U.S. and international casinos. The game's introduction to casinos occurred in 2002, following amendments to regulations that permitted new table games like Three Card Poker to enter licensed venues, where it quickly gained traction among players. By the early , the game had also spread to online platforms, appearing on major casino websites as digital versions capitalized on the rising popularity of internet . Commercialization was complicated by legal disputes over patent rights and royalties. In 2003, amid challenges from Progressive Gaming International Corporation (PGIC) claiming , Webb countersued, leading to a 2007 settlement where Progressive paid $20 million to resolve all claims related to Three Card Poker's . Further litigation arose in 2008 when Prime Table Games sued Shuffle Master, alleging the company had undisclosed knowledge of PGIC's invalid patents during the 1999 acquisition; this and related cases through 2011 resulted in additional settlements exceeding $2 million. These resolutions cleared ongoing uncertainties, solidifying Shuffle Master's control over the game's global distribution. As of 2025, Three Card Poker maintains a stable presence in land-based worldwide, with no major recent developments but continued popularity as a staple offering quick play and accessible betting options.

Rules and Gameplay

Setup and Betting Options

Three Card Poker utilizes a , excluding jokers, for all gameplay. The deck is shuffled either manually by the dealer or automatically via a to ensure randomness before each round begins. The game operates in a heads-up format between each player and the dealer, though typically accommodate multiple players at the table competing independently against the house dealer. The table layout features designated betting areas for each player position, including spots labeled for the Ante wager, the optional Play wager, and the optional Pair Plus side bet. Casinos establish minimum and maximum bet limits for these areas, which vary by venue and to regulate wagering. Chips are placed in these areas to indicate bets, with a drop box for the house to collect fees or wagers as needed. The Ante bet serves as the mandatory initial wager required for a player to participate in the hand against the dealer, representing the player's starting stake in the game. Following the deal, if the player elects to continue competing, they place the Play bet, which must equal the amount of the Ante. The Pair Plus bet is an optional side wager placed before the cards are dealt, focusing solely on the strength of the player's own three-card hand irrespective of the dealer's cards, and pays out for pairs or better according to a fixed schedule. In some casinos, an additional optional 6 Card Bonus bet is available as an add-on, where players wager on the best five-card poker hand formable from their three cards combined with the dealer's three cards.

Dealing and Decision Making

In Three Card Poker, the dealing process begins after players have placed their mandatory Ante bets and any optional Pair Plus wagers. Using a , the dealer shuffles the cards—often via an automatic shuffler for efficiency—and deals three cards face down to each player, starting from the dealer's left and proceeding clockwise, followed by three cards face down to the dealer. Players then examine their own hands privately without revealing them to others. Upon viewing their three-card hand, each player must make a key decision: or raise. Folding forfeits the Ante wager and any Pair Plus bet placed, ending the player's participation in the round immediately. Raising requires placing a Play bet equal to the Ante amount, committing the player to continue against the dealer's hand. This decision is made independently by each player without any influence from or interaction with the dealer's cards. Once all players at the table have acted—either by folding or placing the Play bet—the dealer reveals their three cards and arranges them into the best possible hand. The resolution then proceeds based on hand comparisons, but the dealing and decision phase emphasizes the game's streamlined structure. is renowned for its fast-paced gameplay, with most hands resolving in under a minute from deal to conclusion.

Resolution and Payouts

After the player decides to or with a Play bet matching the Ante, the dealer's three cards are revealed for comparison. The dealer qualifies only if holding Queen-high or better; otherwise, the hand does not proceed to full comparison. If the dealer does not qualify, the Ante bet pays (1:1) to the player, while the Play bet pushes and is returned. The Pair Plus bet, if placed, pays according to the player's hand ranking independently of the dealer's qualification. When the dealer qualifies, the player's hand is compared to the dealer's using standard poker rankings, with the higher-ranking hand prevailing. If the player wins, both the Ante and Play bets pay 1:1; if the dealer wins, both bets are lost; ties result in both bets pushing. The Pair Plus bet resolves separately based on the player's three-card hand strength, paying out even if the player loses to the dealer or folds, provided the hand qualifies for a payout. Standard payouts are as follows, though casinos may vary slightly (e.g., Flush at 3:1 or 4:1):
HandPayout
40:1
Three of a Kind30:1
6:1
Flush4:1
Pair1:1
All other hands lose the Pair Plus bet. An optional Ante Bonus may also be offered, paying additional amounts on the Ante bet for strong player hands ( or better), regardless of the outcome against the dealer. Common payouts include at 1:1, Three of a Kind at 4:1, and at 5:1, varying by .

Hand Rankings

Hierarchy of Hands

In Three Card Poker, the strength of a three-card hand is evaluated based on a specific of poker hand rankings, adapted for the game's shorter format. These rankings determine whether a player's hand beats the dealer's during resolution, with ties resulting in a on the ante and play bets. The total number of possible hands from a is 22,100, calculated as the combination . Aces rank high in most cases but can play low in the A-2-3 straight, though sequences like 2-A-K do not qualify as straights. The hand rankings, from strongest to weakest, are as follows:
  • Straight Flush: Three consecutive cards of the same suit, such as 5-6-7 of hearts. This is the highest-ranking hand, with ties broken by the highest card (e.g., Q-K-A beats J-Q-K). The A-2-3 straight flush is the lowest.
  • Three of a Kind: Three cards of the same rank, such as three queens (Q-Q-Q). Ties are broken by the rank of the three cards.
  • Straight: Three consecutive cards of mixed suits, such as 4-5-6. The highest straight is A-K-Q, and the lowest is A-2-3; ties are resolved by the highest card in the sequence.
  • Flush: Three cards of the same suit that do not form a straight, such as 2-8-K of spades. Ties are broken starting with the highest card, then the second highest, and finally the lowest.
  • Pair: Two cards of the same , with the third as a , such as 9-9-4. Ties are first decided by the pair's , then by the highest .
  • High Card: Any hand that does not qualify as a pair or better, such as A-7-3. The highest determines the winner, followed by the second highest, then the lowest if needed.
These rankings influence payout structures for bonus bets like Pair Plus, where qualifying hands receive fixed odds regardless of the dealer's hand.

Frequencies and Probabilities

In Three Card Poker, the total number of possible three-card hands dealt from a is 22,100, determined through combinatorial calculation as \binom{52}{3} = \frac{52 \times 51 \times [50](/page/50)}{3 \times 2 \times 1}. These hands are distributed across the standard poker rankings, with frequencies derived from enumerating all valid combinations excluding overlaps such as straight flushes being counted separately from straights and flushes. The resulting probabilities provide insight into the relative rarity of each hand type, emphasizing the dominance of weaker hands in this abbreviated poker variant. The exact frequencies and probabilities for each hand ranking are summarized in the following table:
HandWaysProbability
480.22%
Three of a Kind520.24%
7203.26%
Flush1,0964.96%
Pair3,74416.94%
16,44074.39%
These values are based on exhaustive of card combinations, ensuring no double-counting of superior hands within lower categories. For context, a high-card hand occurs over three-quarters of the time, underscoring the game's reliance on basic rankings rather than complex draws typical in longer poker formats. The dealer qualifies to play against the player only with a hand of queen-high or better, encompassing all pairs and stronger hands plus high-card hands featuring a queen, king, or ace as the top card. This qualification occurs in 15,380 of the 22,100 possible hands, yielding a probability of approximately 69.59%. The remaining 30.41% of hands (6,720 combinations) are non-qualifying high-card hands topped by a jack or lower, resulting in a on the play bet and an even-money win on the ante.

Strategy

Optimal Play for Ante and Play Bets

In Three Card Poker, the optimal for the Ante and Play bets focuses on a straightforward decision rule to minimize the house edge while maximizing . The basic is to the Play bet with Queen-6-4 or better and all other hands. This approach reduces the house edge to 3.37% on the combined Ante and Play wagers. The Queen-6-4 threshold is the precise cutoff because it represents the lowest-ranking hand where the expected loss from (0.993 units) is slightly less than the 1-unit loss from folding the Ante alone. Raising with the next lower hand, Queen-6-3, results in an expected loss of 1.003 units, making it suboptimal. This balance accounts for the dealer's rate of approximately 74.81% (requiring Queen-high or better) and the probabilities of winning, tying, or losing against qualifying hands, as determined by exhaustive combinatorial analysis of all possible three-card combinations. Alternative strategies exist but yield higher house edges. The "mimic the dealer" approach—raising only with any Queen-high or better hand—simplifies play but increases the house edge to 3.45%. Always raising on every hand, regardless of strength, results in a significantly higher house edge of 7.65%. The decision process forms a simple based on hand rankings: first, assess if the hand meets or exceeds Queen-6-4 using the standard hierarchy (straight flush highest, high card lowest); if below Queen-high, fold immediately to limit losses to the Ante; if Queen-high, compare the second and third cards sequentially to the 6-4 benchmark (e.g., Queen-7-3 raises as it exceeds in the second card). There is no bluffing element, as the game is strictly heads-up against the dealer with no player interaction.

Analysis of Pair Plus Bet

The Pair Plus bet operates independently of the Ante and Play wagers, paying out based exclusively on the strength of the player's three-card hand against a fixed paytable, irrespective of the dealer's hand or the outcome of the main game. This optional side bet is always available after placing the Ante but requires no further decisions once made, as its resolution occurs simultaneously with the hand's evaluation. Unlike the core bets, which involve strategic choices like folding or raising, the Pair Plus is a straightforward wager resolved purely by the player's poker ranking. The bet exhibits high due to its payout structure, which offers substantial rewards for rare strong hands while resulting in a loss for the majority of outcomes. Under the common paytable of 1:1 for a pair, 4:1 for a flush, 6:1 for a , 30:1 for three of a kind, and 40:1 for a , winning hands (pair or better) occur in approximately 25.61% of deals, leaving 74.39% as straight losses. This imbalance, combined with top prizes up to 40 times the wager, creates significant swings in bankroll, appealing to players seeking excitement over steady returns. With this standard paytable, the Pair Plus carries a house edge of 2.32%, making it a relatively favorable option among side s, though still disadvantaged compared to the 3.37% edge on the combined Ante and Play when played optimally. However, s may employ inferior paytables that erode this advantage; for instance, reducing the flush payout to 3:1 while keeping other multipliers unchanged elevates the house edge to 7.28%, rendering the considerably less viable. should verify the posted paytable before wagering, as variations can drastically alter the 's . Although the Pair Plus offers a edge than the main game's Ante and Play bets, its higher variance suits thrill-seekers more than conservative , who may prefer the steadier profile of the core wagers. It remains a worthwhile when combined with an Ante for overall session play, enhancing potential upside without influencing main-game , but it should be avoided on subpar paytables where the edge exceeds 7%. As a fixed-odds with no post-placement decisions, it demands no , emphasizing luck and payout scrutiny over tactical play.

Variations

Ultimate Three Card Poker

Ultimate Three Card Poker is a casino table game variation developed by Shuffle Master as an enhancement to the standard Three Card Poker, first observed in operation at the in , on February 26, 2010. This version introduces a dedicated Trips side bet to provide players with additional winning opportunities based on their own hand, while maintaining the fast-paced nature of the original game's head-to-head format against the dealer. The game uses a and supports multiple players at a table, with betting limits typically set by the casino. Players must place equal Ante and Blind bets, with the optional Trips wager. The primary addition in Ultimate Three Card Poker is the optional Trips wager, which functions independently of the main Ante/Play bets and the dealer's hand, paying out solely on the strength of the player's three-card hand if it contains a pair or better. Payouts follow an extended schedule designed to reward stronger combinations, such as 1:1 for a pair, 4:1 for a , 6:1 for a , 30:1 for three of a kind, 40:1 for a , and 50:1 for a mini-royal flush (suited ace-king-queen). These rates can vary slightly by paytable, leading to house edges on the Trips bet ranging from approximately 1.9% to 5.1%, with a common configuration yielding a 2.14% edge. The bet resolves immediately after the player's cards are dealt, adding excitement without affecting the core process. The mandatory Blind bet pays according to the following regardless of the dealer's hand (if the player raises): pair or worse pushes; flush 1:1; 2:1; three of a kind 10:1; 20:1; mini-royal flush 100:1. Gameplay mirrors the original Three Card Poker in its basic flow but with modifications: players place equal Ante and Blind bets (and optional Trips), receive three cards face up, and choose to fold (losing the Ante and Blind) or raise the Play bet: 1x the Ante with less than a pair, or 1x to 3x the Ante with a pair or better. The dealer then reveals their hand, which must qualify with at least queen-high; if not, the Ante and Blind push, the Play bet is compared to the dealer's hand and pays 1:1 if better (ties push), and the Trips resolves per its table. If the dealer qualifies, standard poker hand rankings determine the outcome: the Ante and Play bets each pay 1:1 if the player's hand is better (ties push); the Blind pays per its table. The Trips bet's independence ensures consistent side action, though the main game's higher raise allowance and modified qualification resolution differentiate it from the standard version by increasing strategic depth and volatility. By the 2010s, Ultimate Three Card Poker had gained significant popularity in U.S. casinos, appearing on both traditional tables and terminals for broader and faster play. Its appeal lies in the Trips bet's potential for substantial payouts on rare hands, drawing players who favor high-volatility side wagers alongside the familiar Ante/Play structure. As of 2025, the game remains unchanged in its fundamental rules, with no notable updates or regulatory revisions reported. Compared to the original, the higher top-end payouts on the Trips bet elevate overall excitement and risk, while preserving the core mechanics of the Ante and Play decisions with the added bet. The Prime bet is an optional side wager in Three Card Poker that considers the colors (red or black) of the cards dealt to both the player and dealer. It pays 3 to 1 if the player's three cards are all the same color, and 4 to 1 if all six cards combined are the same color, regardless of the outcome of the main game. This bet was first observed at the in in 2010 and has since appeared in various casinos. The house edge for the Prime bet is 3.62%. Another common side bet is the 6 Card Bonus, which evaluates the best five-card poker hand possible from the six cards dealt (the player's three plus the dealer's three). Payouts begin at 5 to 1 for three of a kind and escalate to 1,000 to 1 for , with intermediate hands like paying 200 to 1 and four of a kind , depending on the used by the . This bet is independent of the main ante and play wagers and is popular at properties like casinos. House edges vary by , ranging from 8.56% in more player-friendly versions to 15.28% in others, with some capped payouts for high bets increasing the edge further to 19.38%. In international markets, particularly the , Three Card Poker often features adjusted payout structures to comply with local regulations or casino preferences. For instance, some versions standardize the Pair Plus payout for a flush at 3 to 1, compared to 4 to 1 in many U.S. tables, which raises the house edge on that bet to approximately 7.28%. Additionally, the Ante Bonus—paying on the player's or better regardless of the dealer's hand—may be mandatory in certain setups, integrating it directly into the base game rather than as an optional side bet. These tweaks maintain the core rules while adapting to regional gaming laws. Electronic and online adaptations of Three Card Poker, as of 2025, closely replicate live table rules using generators (RNG) for fairness, certified by bodies like eCOGRA. Platforms like Bovada and offer standard ante/play and Pair Plus bets with house edges matching physical casinos (around 3.37% for ante/play combined), but introduce multi-hand play options allowing up to 10 simultaneous hands for increased action. These digital versions also frequently include the Prime and 6 Card Bonus side bets with identical payouts and edges.

Odds and House Edge

House Edges for Different Bets

In Three Card Poker, the house edge for the Ante and Play bets combined is 3.37% when using the optimal strategy of raising on Queen-6-4 or better. This edge reflects the dealer's qualification requirement (Queen high or better) and the player's option to fold, losing only the Ante. Assuming the player always raises after seeing their hand, the house edge on the Play bet alone drops to 2.01%. The Pair Plus bet, an optional side wager paid based on the player's hand regardless of the dealer's, has a house edge that varies by paytable. The most favorable common paytable—Straight Flush 40:1, Three of a Kind 30:1, 6:1, Flush 4:1, Pair 1:1—yields a house edge of 2.32%. However, the now-prevalent paytable with Flush reduced to 3:1 increases the edge to 7.28%, making it less advantageous. When players wager proportionally across all bets (Ante/Play and Pair Plus), the overall house edge approximates 3.4% under standard rules and optimal Ante/Play , though this rises above 5% if using the higher-edge Pair Plus paytable equally. Paytable variations significantly impact these figures; for instance, increasing the Straight Flush payout from 40:1 to 50:1 can lower the Pair Plus edge by about 2.78 percentage points. The standard dealer qualification rule contributes to the baseline edge but can be altered in variants to favor the house further. Compared to other casino games, Three Card Poker's house edge is lower than typical slot machines (5-15%) but higher than blackjack with basic strategy (around 0.5%).

Expected Returns and Variance

In Three Card Poker, the expected value (EV) for the Ante/Play bet under optimal play is -3.37%, equivalent to an expected loss of $0.0337 per $1 wagered. This value is derived from the formula EV = Σ [P(outcome_i) * (payout_i - 1)], where P(outcome_i) represents the probability of each possible hand outcome based on established hand frequencies, and payout_i is the corresponding return multiplier minus the initial wager. The negative EV reflects the house advantage, ensuring long-term profitability for the casino across all outcomes. The Pair Plus bet carries an EV of -2.32% under the standard paytable, meaning an expected loss of $0.0232 per $1 bet. This bet's high variance stems from its structure: approximately 74.39% of hands result in a (high card only), while rarer strong hands like straight flushes offer payouts up to 40:1, creating lumpiness in returns. Overall, the Ante/Play bet exhibits moderate variance with a standard deviation of approximately 1.15 per unit bet, providing relatively steady fluctuations suitable for conservative play. In contrast, the Pair Plus bet has higher variance, with a standard deviation of about 2.8 per unit bet, amplifying short-term swings due to the skewed payout distribution. Over the long term, these metrics illustrate the game's risk profile; for instance, playing 100 hands with a $10 Ante yields an of $33.70. The variance implies a 95% of roughly ±$115 around this loss, highlighting the potential for both deeper short-term deficits and occasional recoveries.

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