List of poker hands

In poker, players form sets of five playing cards, called hands, according to the rules of the game.^[1] Each hand has a rank, which is compared against the ranks of other hands participating in the showdown to decide who wins the pot.^[2] In high games, like Texas hold 'em and seven-card stud, the highest-ranking hands win. In low games, like razz, the lowest-ranking hands win. In high-low split games, both the highest-ranking and lowest-ranking hands win, though different rules are used to rank the high and low hands.^[3]^[4]

Each hand belongs to a category determined by the patterns formed by its cards. A hand in a higher-ranking category always ranks higher than a hand in a lower-ranking category. A hand is ranked within its category using the ranks of its cards. Individual cards are ranked, from highest to lowest: A, K, Q, J, 10, 9, 8, 7, 6, 5, 4, 3 and 2.^[5] However, aces have the lowest rank under ace-to-five low or ace-to-six low rules, or under high rules as part of a five-high straight or straight flush.^[6]^[7] Suits are not ranked, so hands that differ by suit alone are of equal rank.^[8]

There are nine categories of hand when using a standard 52-card deck, except under ace-to-five low rules where straights, flushes and straight flushes are not recognized. An additional category, five of a kind, exists when using one or more wild cards. The fewer hands a category contains, the higher its rank.^[9] There are ${\begin{matrix}{\frac {52!}{(52-5)!}}=311{,}875{,}200\end{matrix}}$ ways to deal five cards from the deck but only ${\begin{matrix}{\frac {52!}{(52-5)!5!}}=2{,}598{,}960\end{matrix}}$ distinct hands, because the order in which cards are dealt or arranged in a hand does not matter.^[10] Moreover, since hands differing only by suit are of equal rank, there are only 7,462 distinct hand ranks.^[11]

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Hand-ranking categories

*	Only possible when using one or more wild cards
**	Category does not exist under ace-to-five low rules

Name	Example
Five of a kind*
Straight flush**
Four of a kind
Full house
Flush**
Straight**
Three of a kind
Two pair
One pair
High card

Five of a kind

Five of a kind, aces

Five of a kind is a hand that contains five cards of one rank, such as 3♥ 3♦ 3♣ 3♠ 3 ("five of a kind, threes"). It ranks above a straight flush but is only possible when using one or more wild cards, as there are only four cards of each rank in the deck.^[6] Five of a kind, aces, A♥ A♦ A♣ A♠ Jkr, becomes possible when a joker is added to the deck as a bug, a form of wild card that may act as a fifth ace.^[5] Other wild card rules allow jokers or other designated cards to represent any card in the deck, making it possible to form five of a kind of any rank.^[12]

Each five of a kind is ranked by the rank of its quintuplet. For example, Q♠ Q♥ Q♣ Q♦ Q ranks higher than 6♣ 6♠ 6♦ 6♥ 6.^[6]^[13]

Straight flush

A jack-high straight flush

A straight flush is a hand that contains five cards of sequential rank, all of the same suit, such as Q♥ J♥ 10♥ 9♥ 8♥ (a "queen-high straight flush").^[4] It ranks below five of a kind and above four of a kind.^[5] Under high rules, an ace can rank either high (as in A♥ K♥ Q♥ J♥ 10♥, an ace-high straight flush) or low (as in 5♦ 4♦ 3♦ 2♦ A♦, a five-high straight flush), but cannot simultaneously rank both high and low (so Q♣ K♣ A♣ 2♣ 3♣ is an ace-high flush, but not a straight).^[6]^[13] Under deuce-to-seven low rules, an ace always ranks high (so 5♠ 4♠ 3♠ 2♠ A♠ is an ace-high flush). Under ace-to-six low rules, an ace always ranks low (so A♥ K♥ Q♥ J♥ 10♥ is a king-high flush).^[14] Under ace-to-five low rules, straight flushes are not possible (so 9♣ 8♣ 7♣ 6♣ 5♣ is a nine-high hand).^[7]

Each straight flush is ranked by the rank of its highest-ranking card. For example, 10♣ 9♣ 8♣ 7♣ 6♣ ranks higher than 8♥ 7♥ 6♥ 5♥ 4♥, which ranks higher than 6♠ 5♠ 4♠ 3♠ 2♠. Straight flush hands that differ by suit alone, such as 7♦ 6♦ 5♦ 4♦ 3♦ and 7♠ 6♠ 5♠ 4♠ 3♠, are of equal rank.^[6]^[13]

An ace-high straight flush, such as A♦ K♦ Q♦ J♦ 10♦, is called a royal flush or royal straight flush and is the best possible hand in ace-high games when wild cards are not used.^[5]^[15]^[16] A five-high straight flush, such as 5♥ 4♥ 3♥ 2♥ A♥, is called a steel wheel and is both the best low hand and usually the best high hand of the showdown in ace-to-five high-low split games.^[4]

Four of a kind

Four of a kind, fives

Four of a kind, also known as quads, is a hand that contains four cards of one rank and one card of another rank (the kicker), such as 9♣ 9♠ 9♦ 9♥ J♥ ("four of a kind, nines"). It ranks below a straight flush and above a full house.^[5]

Each four of a kind is ranked first by the rank of its quadruplet, and then by the rank of its kicker. For example, K♠ K♥ K♣ K♦ 3♥ ranks higher than 7♥ 7♦ 7♠ 7♣ Q♥, which ranks higher than 7♥ 7♦ 7♠ 7♣ 10♠. Four of a kind hands that differ by suit alone, such as 4♣ 4♠ 4♦ 4♥ 9♣ and 4♣ 4♠ 4♦ 4♥ 9♦, are of equal rank.^[6]^[13]

Full house

A full house, sixes over kings

A full house, also known as a full boat or a tight or a boat (and originally called a full hand), is a hand that contains three cards of one rank and two cards of another rank, such as 3♣ 3♠ 3♦ 6♣ 6♥ (a "full house, threes over sixes" or "threes full of sixes" or "threes full").^[17]^[18] It ranks below four of a kind and above a flush.^[5]

Each full house is ranked first by the rank of its triplet, and then by the rank of its pair. For example, 8♠ 8♦ 8♥ 7♦ 7♣ ranks higher than 4♦ 4♠ 4♣ 9♦ 9♣, which ranks higher than 4♦ 4♠ 4♣ 5♣ 5♦. Full house hands that differ by suit alone, such as K♣ K♠ K♦ J♣ J♠ and K♣ K♥ K♦ J♣ J♥, are of equal rank.^[6]^[13]

Flush

A jack-high flush

A flush is a hand that contains five cards all of the same suit, not all of sequential rank, such as K♣ 10♣ 7♣ 6♣ 4♣ (a "king-high flush" or a "king-ten-high flush").^[19] It ranks below a full house and above a straight.^[5] Under ace-to-five low rules, flushes are not possible (so J♥ 8♥ 4♥ 3♥ 2♥ is a jack-high hand).^[7]

Each flush is ranked first by the rank of its highest-ranking card, then by the rank of its second highest-ranking card, then by the rank of its third highest-ranking card, then by the rank of its fourth highest-ranking card, and finally by the rank of its lowest-ranking card. For example, K♦ J♦ 9♦ 6♦ 4♦ ranks higher than Q♣ J♣ 7♣ 6♣ 5♣, which ranks higher than J♥ 10♥ 9♥ 4♥ 2♥, which ranks higher than J♠ 10♠ 8♠ 6♠ 3♠, which ranks higher than J♥ 10♥ 8♥ 4♥ 3♥, which ranks higher than J♣ 10♣ 8♣ 4♣ 2♣. Flush hands that differ by suit alone, such as 10♦ 8♦ 7♦ 6♦ 5♦ and 10♠ 8♠ 7♠ 6♠ 5♠, are of equal rank.^[6]^[13]

Straight

A ten-high straight

A straight is a hand that contains five cards of sequential rank, not all of the same suit, such as 7♣ 6♠ 5♠ 4♥ 3♥ (a "seven-high straight"). It ranks below a flush and above three of a kind.^[5] Under high rules, an ace can rank either high (as in A♦ K♣ Q♣ J♦ 10♠, an ace-high straight) or low (as in 5♣ 4♦ 3♥ 2♥ A♠, a five-high straight), but cannot simultaneously rank both high and low (so Q♠ K♠ A♣ 2♥ 3♦ is an ace-high hand).^[6]^[13] Under deuce-to-seven low rules, an ace always ranks high (so 5♥ 4♠ 3♥ 2♣ A♦ is an ace-high hand). Under ace-to-six low rules, an ace always ranks low (so A♣ K♠ Q♠ J♦ 10♠ is a king-high hand).^[14] Under ace-to-five low rules, straights are not possible (so 10♥ 9♠ 8♣ 7♣ 6♦ is a ten-high hand).^[7]

Each straight is ranked by the rank of its highest-ranking card. For example, J♥ 10♥ 9♣ 8♠ 7♥ ranks higher than 10♠ 9♠ 8♣ 7♥ 6♠, which ranks higher than 6♣ 5♠ 4♥ 3♠ 2♦. Straight hands that differ by suit alone, such as 9♣ 8♣ 7♣ 6♦ 5♦ and 9♠ 8♠ 7♠ 6♥ 5♥, are of equal rank.^[6]^[13]

An ace-high straight, such as A♣ K♣ Q♦ J♠ 10♠, is called a Broadway straight,^[20] while a five-high straight, such as 5♠ 4♦ 3♦ 2♠ A♥, is called a baby straight,^[21] bicycle or wheel and is the best possible hand in ace-to-five low games (where it is a high card hand, not a straight).^[22]^[23]

Three of a kind

Three of a kind, queens

Three of a kind, also known as trips or a set, is a hand that contains three cards of one rank and two cards of two other ranks (the kickers), such as 2♦ 2♠ 2♣ K♠ 6♥ ("three of a kind, twos" or "trip twos" or a "set of twos"). It ranks below a straight and above two pair.^[5]

Each three of a kind is ranked first by the rank of its triplet, then by the rank of its highest-ranking kicker, and finally by the rank of its lowest-ranking kicker. For example, 6♥ 6♦ 6♠ Q♣ 4♠ ranks higher than 3♦ 3♠ 3♣ K♠ 2♠, which ranks higher than 3♦ 3♠ 3♣ J♣ 7♥, which ranks higher than 3♦ 3♠ 3♣ J♠ 5♦. Three of a kind hands that differ by suit alone, such as 9♠ 9♥ 9♦ 10♦ 8♥ and 9♣ 9♠ 9♥ 10♦ 8♦, are of equal rank.^[6]^[13]

In community card games, such as Texas hold 'em, three of a kind is called a set only when it comprises a pocket pair and a third card on the board.^[24]

Two pair

Two pair, jacks and threes

Two pair is a hand that contains two cards of one rank, two cards of another rank and one card of a third rank (the kicker), such as J♥ J♣ 4♣ 4♠ 9♥ ("two pair, jacks and fours" or "two pair, jacks over fours" or "jacks up").^[17]^[25] It ranks below three of a kind and above one pair.^[5]

Each two pair is ranked first by the rank of its higher-ranking pair, then by the rank of its lower-ranking pair, and finally by the rank of its kicker. For example, 10♦ 10♠ 2♠ 2♣ K♣ ranks higher than 5♣ 5♠ 4♦ 4♥ 10♥, which ranks higher than 5♣ 5♠ 3♣ 3♦ Q♠, which ranks higher than 5♣ 5♠ 3♣ 3♦ J♠. Two pair hands that differ by suit alone, such as K♦ K♠ 7♦ 7♥ 8♥ and K♣ K♠ 7♣ 7♥ 8♣, are of equal rank.^[6]^[13]

One pair

One pair, tens

One pair, or simply a pair, is a hand that contains two cards of one rank and three cards of three other ranks (the kickers), such as 4♥ 4♠ K♠ 10♦ 5♠ ("one pair, fours" or a "pair of fours"). It ranks below two pair and above high card.^[5]

Each one pair is ranked first by the rank of its pair, then by the rank of its highest-ranking kicker, then by the rank of its second highest-ranking kicker, and finally by the rank of its lowest-ranking kicker. For example, 9♣ 9♦ Q♠ J♥ 5♥ ranks higher than 6♦ 6♥ K♠ 7♥ 4♣, which ranks higher than 6♦ 6♥ Q♥ J♠ 2♣, which ranks higher than 6♦ 6♥ Q♠ 8♣ 7♦, which ranks higher than 6♦ 6♥ Q♦ 8♥ 3♠. One-pair hands that differ by suit alone, such as 8♠ 8♦ 10♥ 6♣ 5♠ and 8♥ 8♣ 10♣ 6♠ 5♣, are of equal rank.^[6]^[13]

High card

High card, king

High card, also known as no pair or simply nothing, is a hand that does not fall into any other category, such as K♥ J♥ 8♣ 7♦ 4♠ ("high card, king" or "king-jack-high" or "king-high").^[17]^[26] Note that under ace-to-five low rules, straights, flushes and straight flushes are not possible, so such hands are instead high card hands.^[7] It ranks below one pair.^[5]

Each high card hand is ranked first by the rank of its highest-ranking card, then by the rank of its second highest-ranking card, then by the rank of its third highest-ranking card, then by the rank of its fourth highest-ranking card, and finally by the rank of its lowest-ranking card. For example, K♠ 6♣ 5♥ 3♦ 2♣ ranks higher than Q♠ J♦ 6♣ 5♥ 3♣, which ranks higher than Q♠ 10♦ 8♣ 7♦ 4♠, which ranks higher than Q♥ 10♥ 7♣ 6♥ 4♠, which ranks higher than Q♣ 10♣ 7♦ 5♣ 4♦, which ranks higher than Q♥ 10♦ 7♠ 5♠ 2♥. High card hands that differ by suit alone, such as 10♣ 8♠ 7♠ 6♥ 4♦ and 10♦ 8♦ 7♠ 6♣ 4♣, are of equal rank.^[6]^[13]

Under deuce-to-seven low rules, a seven-five-high hand, such as 7♠ 5♣ 4♦ 3♦ 2♣, is the best possible hand.^[27] Under ace-to-six low rules, where aces have the lowest rank, a six-four-high hand, such as 6♣ 4♠ 3♥ 2♥ A♦, is the best possible hand.^[28] Under ace-to-five low rules, where aces have the lowest rank and straights, flushes and straight flushes are not possible, a five-high hand, such as 5♣ 4♠ 3♥ 2♥ A♦ or 5♠ 4♠ 3♠ 2♠ A♠, commonly known as a bicycle or wheel, is the best possible hand.^[7]^[22]

References

^ Krieger, Lou (2006). "What is Poker?". The Poker Player's Bible. South Africa: Struik Publishers. pp. 12–14. ISBN 978-1-77007-469-9.
^ Harrock, Richard (2011). "The Basics of Play". Poker for Dummies, Mini Edition. United States of America: Wiley Publishing, Inc. ISBN 978-0-470-05565-6.
^ Sklansky, David (2005). The Theory of Poker. United States of America: Two Plus Two Publishing LLC. pp. 2. ISBN 1-880685-00-0.
^ ^a ^b ^c Braids, Sam (2003). The Intelligent Guide to Texas Hold'em. Towson, Maryland: Intelligent Games Publishing. pp. 166. ISBN 0-9677551-2-3.
^ ^a ^b ^c ^d ^e ^f ^g ^h ⁱ ^j ^k ^l Krieger, Lou (2006). The Poker Player's Bible. South Africa: Struik Publishers. pp. 30–34. ISBN 978-1-77007-469-9.
^ ^a ^b ^c ^d ^e ^f ^g ^h ⁱ ^j ^k ^l ^m ⁿ Greiner, Ron (2005). The Everyday Guide to Recreational Poker. Everyday Endeavors, LLC. pp. 46–60. ISBN 0-9769703-0-9.
^ ^a ^b ^c ^d ^e ^f Scott, Alex (2010). "How to Play Lowball Draw". What I Know about Poker: Lessons in Texas Hold'em, Omaha and Other Poker Games. p. 24. ISBN 978-0-9567151-3-5.
^ "Poker Hand Ranking | Official World Series of Poker Online". www.wsop.com. Retrieved 12 July 2016.
^ "Probability: 5-Card Poker Hands". www.math.hawaii.edu. Retrieved 12 July 2016.
^ Bourne, Murray. "Probability and Poker". www.intmath.com. Retrieved 12 July 2016.
^ Berg, Henry (13 May 2013). "FiveCardSingleDeckHands.txt". Code Throwdown. Retrieved 13 July 2016.
^ Rigal, Barry (2005). Card Games For Dummies. 111 River Street, Hoboken, NJ, USA: John Wiley & Sons. pp. 284. ISBN 978-0-7645-9910-1.{{cite book}}: CS1 maint: location (link)
^ ^a ^b ^c ^d ^e ^f ^g ^h ⁱ ^j ^k ^l Kreiger, Lou; Bykofsky, Sheree (2006). The Rules of Poker. Lyle Stuart. pp. 99–102. ISBN 0-8184-0660-7.
^ ^a ^b "Lowball Hand Rankings". playlowballpoker.com. Retrieved 5 August 2016.
^ Miller, Ed; Sklansky, David; Malmuth, Mason (2005). Small Stakes Hold 'em. United States of America: Two Plus Two Publishing LLC. pp. 343–358. ISBN 1-880685-32-9.
^ Taylor, David G. (2015). The Mathematics of Games: An Introduction to Probability. CRC Press. pp. 49–51. ISBN 978-1-4822-3543-2.
^ ^a ^b ^c Wenzel, John (2004). The Everything Poker Strategy Book. United States of America: F+W Publications, Inc. pp. 6–10. ISBN 1-59337-140-3.
^ "Online Etymology Dictionary". www.etymonline.com. Retrieved 1 August 2016.
^ Sklansky, David (2007). The Theory of Poker. Two Plus Two Publishing LLC. pp. 124. ISBN 978-1-880685-00-6.
^ Erickson, David (2015). "3.2.5.3 Broadway straight". Superior Texas Hold'em: Evolved Poker Strategy. United States of America: Evergent Teknologies. ISBN 978-0-9938197-0-4.
^ Zee, Ray (2007). High-Low-Split Poker, Seven-Card Stud and Omaha Eight-or-better for Advanced Players. United States of America: Two Plus Two Publishing LLC. p. 323. ISBN 978-1-880685-10-5.
^ ^a ^b Sklansky, David (2005). "Glossary of Poker Terms". The Theory of Poker. United States of America: Two Plus Two Publishing LLC. pp. 277–293. ISBN 1-880685-00-0.
^ Malmuth, Mason (1998). "Ace-to-Five Lowball". Winning Concepts in Draw and Lowball (2nd ed.). United States of America: Two Plus Two Publishing. p. 45. ISBN 1-880685-07-8.
^ Sklansky, David (2004). Small Stakes Hold 'Em (1 ed.). Two Plus Two Publishing. p. 127. ISBN 978-1-880685-32-7.
^ Cardoza, Avery (2012). Poker Talk. Cardoza Publishing. ISBN 978-1-58042-502-5.
^ Gelling, Jonathan (2009). Poker Tips that Pay. Play to Pay Publishing. p. 333. ISBN 978-0-9840822-9-2.
^ Kimberg, Daniel (2002). Serious Poker. ConJelCo LLC. pp. 229–277. ISBN 1-886070-16-4.
^ "WSOP | How To Play | How To Play Lowball Poker". www.wsop.com. Retrieved 4 August 2016.