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That is the percentage probability that there will be at least one higher pair. Take the number of higher pairs, multiply by the number of other players, and divide by 2. After this column appeared one of my fans, Larry B., wrote a brute force combinatorial program to solve this problems. So my approximation of the probability of at least one higher pocket pair is 1-e -n*r*(6/1225). The table below shows those probabilities. For examle if you have pocket queens and there are 9 other players the expected number of players with a higher pocket pair is 0.0882, so the probability of at least one player having a higher pocket pair is 1-e -0.0882 = 8.44%. Given that assumption the probability that at least one player will beat you is 1-e -µ, where µ is the mean. To get the probability that at least one player will beat you I will make the not entirely correct assumption that the number of players with a higher pocket pair is a Poisson random variable with a mean in the above table. 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Three of a Kind – Three cards with matching pip numbers Two Pair – Two sets of two cards with matching pip numbers One Pair – Two cards with matching pip numbers High Card – If there are no pairs or kinds in play, the player with the highest card wins Ties can be broken by the kicker, the players' next highest card. At CardzMania, all poker games are for fun without a pot limit, and there is no real money involved.Īces are high and 2s are low. Texas Hold'em is one of the most popular poker games in the United States and the online poker community. Texas Hold'em can be played by 2 to 12 poker players. Texas Hold'em is a betting game where players try to get the best five-card-hand from their two hole cards and the five community cards. |
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