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For example, in draw poker, a hand with four diamonds has nine outs to make a flush: there are 13 diamonds in the deck, and four of them have been seen. If a player has two small pairs, and he believes that it will be necessary for him to make a full house to win, then he has four outs: the two remaining cards of each rank that he holds.
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Poker hand converters allow players to take text-based online poker hand history files from online cardrooms and convert them into formats friendly to the eye and suitable for posting on online message boards. Hand converters are often used to show played hands to other players for analysis and discussion.
PokerStove is a program that calculates hand equities (i.e., expected percentage of the time that each hand wins at showdown). [3] Since poker is a game of incomplete information, the calculator is designed to evaluate the equity of ranges of hands that players can hold, instead of individual hands. [4]
Poker relative calculators tend to be displayed on poker tournaments and shows for an audience because they provide an accurate assessment of a player's winning chance. However, professional in game poker players do not use or think in terms of poker relative calculations because two or more poker hands at the same table are required.
In some popular variations of poker such as Texas hold 'em, the most widespread poker variant overall, [3] a player uses the best five-card poker hand out of seven cards. The frequencies are calculated in a manner similar to that shown for 5-card hands, [ 4 ] except additional complications arise due to the extra two cards in the 7-card poker hand.
In poker, the Independent Chip Model (ICM), also known as the Malmuth–Harville method, [1] is a mathematical model that approximates a player's overall equity in an incomplete tournament. David Harville first developed the model in a 1973 paper on horse racing; [2] in 1987, Mason Malmuth independently rediscovered it for poker. [3]
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