Texas holdem hand probability

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If we knew the close-to-real likelihood of each different type of hands being played, then we could provide non-opinionated estimate of the winning chance. We could guess it but then it is becomes subjective. Why don't we use hand ranges? It is because we don't have real statistics of how frequent a type of hand is played.

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The same interpretation can be applied to the '9p. In a real game where players folds, your chance of winning should be higher. This give rise to the worst case probability or the worst case equity. It worthwhile to note that we assume no ones folds in the game. odds' is the 'fixed-preflop, post-river' probability of winning a 6-players game. The winning probability is simply = (number of times winning after post river)/10,000 Finally, we repeat this whole process again for 10,000 times. We then check if the hero is the winner and keep track how many times has the hero won using the fixed hands. Next, we would deal all the shared cards randomly up to the river. Then, in N players game, our simulation deal random cards for the (N - 1) other players game. The hero's hand is fixed to be the hand of interest.

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