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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 calculators are algorithms which through probabilistic or statistical means derive a player's chance of winning, losing, or tying a poker hand. [ 1 ] [ 2 ] Given the complexities of poker and the constantly changing rules, most poker calculators are statistical machines, probabilities and card counting is rarely used.
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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One way to make money on the exchanges is "trading" - in the above example, the Jets might be a favorite decimal odds of 1.90 to defeat the Bills. If a "trader" thinks these odds too long he may bet $1000 on the Jets, and should he prove correct and the odds on the Jets get shorter, "lay off" by laying, say, a $1016 bet against the Jets at 1.87.
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.
However, suppose Bob knew (with 100% certainty) that Carol held 8♦ 7♦. In this case, it would be correct to raise. 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 ...
Lowball or low poker is a variant of poker in which the normal ranking of hands is inverted. Several variations of lowball poker exist, differing in whether aces are treated as high cards or low cards, and whether straights and flushes are used.