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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.
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.
The player's "playing hand", which will be compared against that of each competing player, is the best 5-card poker hand available from his two hole cards and the five community cards. Unless otherwise specified, here the term hand applies to the player's two hole cards, or starting hand .
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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]
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The mathematics of gambling is a collection of probability applications encountered in games of chance and can get included in game theory.From a mathematical point of view, the games of chance are experiments generating various types of aleatory events, and it is possible to calculate by using the properties of probability on a finite space of possibilities.