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In statistics, this is called odds against. For instance, with a royal flush, there are 4 ways to draw one, and 2,598,956 ways to draw something else, so the odds against drawing a royal flush are 2,598,956 : 4, or 649,739 : 1. The formula for establishing the odds can also be stated as (1/p) - 1 : 1, where p is the aforementioned probability.
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.
Pot odds are only useful if a player has enough equity.Equity is the chance a player has to win the hand at showdown.It is calculated as the fraction of remaining cards in the deck for each remaining street (sequential card being dealt, e.g. turn, river) that can give a player the winning hand.
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In Texas hold 'em, as in all variants of poker, individuals compete for an amount of money or chips contributed by the players themselves (called the pot).Because the cards are dealt randomly and outside the control of the players, each player attempts to control the amount of money in the pot based on the hand they are holding, [2] and on their prediction as to what their opponents may be ...
Bob holds K♥ 7♠. After the flop, the board is 5♥6♥7♦. If both hands are played to a showdown, Alice has a 45% chance to win (which she is unaware of, because she does not know what hand Bob holds), Bob has a 53% chance to win and there is a 2% chance to split the pot. The pot currently has $51.
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]
Even though Carol would still be getting the correct pot odds to call, the best decision for Bob is to raise. Therefore, by folding (or even calling), Bob has played his hand differently from the way he would have played it if he could see his opponent's cards, and so by the fundamental theorem of poker, his opponent has gained.