Texas Hold’em – After the flop

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During play—that is, from the flop and onwards—drawing probabilities come down to a question of outs. All situations which have the same number of outs have the same probability of winning. For example, an inside straight draw (e.g. 34 67 … Read More

The flop

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The value of a starting hand can change dramatically after the flop. Regardless of initial strength, any hand can flop the nuts—for example, if the flop comes with three 2s, any hand holding the fourth 2 has the nuts. Conversely, … Read More

Starting hands against multiple opponents in Texas Hold ’em

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When facing two opponents, for any given starting hand the number of possible combinations of hands the opponents can have is (50/2)(48/2) = 1,381800 hands. For calculating probabilities we can ignore the distinction between the two opponents holding A♠ J♥ … Read More

Odds

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In probability theory and statistics the odds in favor of an event or a proposition are the quantity p / (1 − p), where p is the probability of the event or proposition. The logarithm of the odds is the … Read More

Bridge play techniques

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Terence Reese, a prolific author of bridge books, points out that there are only four ways of taking a trick by force, and two of these are very easy: playing a high card that no one else can beat trumping … Read More

Dutch book

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In gambling a Dutch book or lock is a set of odds and bets which guarantees a profit, no matter what the outcome of the gamble. It is associated with probabilities implied by the odds not being coherent.In economics a … Read More