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In no-limit or pot-limit poker, a player's M-ratio (also called "M number", "M factor" [1] or just "M") is a measure of the health of a player's chip stack as a function of the cost to play each round. In simple terms, a player can sit passively in the game, making only compulsory bets, for M laps of
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]
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.
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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.
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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.
Fold equity is a concept in poker strategy that is especially important when a player becomes short-stacked in a no limit (or possibly pot limit) tournament. It is the equity a player can expect to gain due to the opponent folding to his or her bets. [1] It equates to: