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List of poker hands

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List of poker hands

In poker, players form sets of five playing cards, called hands, according to the rules of the game. Each hand has a rank, which is compared against the ranks of other hands participating in the showdown to decide who wins the pot. 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. 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. 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. Suits are not ranked, so hands that differ by suit alone are of equal rank. 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. There are 52 ! ( 52 − 5 ) ! = 311,875,200 {\displaystyle {\begin{matrix}{\frac {52!}{(52-5)!}}=311{,}875{,}200\end{matrix}}} ways to deal five cards from the deck but only 52 ! ( 52 − 5 ) ! 5 ! = 2,598,960 {\displaystyle {\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. Moreover, since hands differing only by suit are of equal rank, there are only 7,462 distinct hand ranks.

Tables

· Hand-ranking categories
Category does not exist under ace-to-five low rules
· Hand-ranking categories
Royal flush*
Royal flush*
Name
Royal flush*
Example
Straight flush*
Straight flush*
Name
Straight flush*
Example
Four of a kind
Four of a kind
Name
Four of a kind
Example
Full house
Full house
Name
Full house
Example
Flush*
Flush*
Name
Flush*
Example
Straight*
Straight*
Name
Straight*
Example
Three of a kind
Three of a kind
Name
Three of a kind
Example
Two pair
Two pair
Name
Two pair
Example
One pair
One pair
Name
One pair
Example
High card
High card
Name
High card
Example
Name
Example
Royal flush*
Straight flush*
Four of a kind
Full house
Flush*
Straight*
Three of a kind
Two pair
One pair
High card

References

  1. The Poker Player's Bible
  2. Poker for Dummies, Mini Edition
  3. The Theory of Poker
    https://archive.org/details/theoryofpoker00skla/page/2
  4. The Intelligent Guide to Texas Hold'em
    https://archive.org/details/intelligentguide00brai
  5. The Poker Player's Bible
  6. The Everyday Guide to Recreational Poker
  7. What I Know about Poker: Lessons in Texas Hold'em, Omaha and Other Poker Games
  8. www.wsop.com
    http://www.wsop.com/poker-hands/
  9. www.math.hawaii.edu
    http://www.math.hawaii.edu/~ramsey/Probability/PokerHands.html
  10. www.intmath.com
    http://www.intmath.com/counting-probability/poker.php
  11. Code Throwdown
    http://www.codethrowdown.com/5CardSingleDeckHands.txt
  12. Small Stakes Hold 'em
    https://archive.org/details/smallstakesholde00mill_0/page/343
  13. The Mathematics of Games: An Introduction to Probability
  14. The Rules of Poker
  15. playlowballpoker.com
    http://playlowballpoker.com/hand-rankings/
  16. The Everything Poker Strategy Book
  17. www.etymonline.com
    http://www.etymonline.com/index.php?term=full
  18. The Theory of Poker
    https://archive.org/details/theoryofpoker00skla/page/124
  19. Superior Texas Hold'em: Evolved Poker Strategy
  20. High-Low-Split Poker, Seven-Card Stud and Omaha Eight-or-better for Advanced Players
  21. The Theory of Poker
    https://archive.org/details/theoryofpoker00skla/page/277
  22. Winning Concepts in Draw and Lowball
  23. Small Stakes Hold 'Em
    https://archive.org/details/smallstakesholde00mill_0/page/127
  24. Poker Talk
  25. Poker Tips that Pay
  26. Serious Poker
  27. www.wsop.com
    http://www.wsop.com/poker-games/lowball/how-to-play/
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