Between hands in the same category the rank of the individual cards decides which is better, as described in more detail below. Any hand in a higher category beats any hand in a lower category (so for example any three of a kind beats any two pairs). The categories of hand, from highest to lowest, are listed below. See ranking of suits for details.)Ī poker hand consists of five cards. (Note however that suit ranking is sometimes used for other purposes such as allocating seats, deciding who bets first, and allocating the odd chip when splitting a pot that can't be equally divided. In standard poker - that is to say in the formal casino and tournament game played internationally and the home game as normally played in North America - there is no ranking between the suits for the purpose of comparing hands - so for example the king of hearts and the king of spades are equal. There are 52 cards in the pack, and the ranking of the individual cards, from high to low, is ace, king, queen, jack, 10, 9, 8, 7, 6, 5, 4, 3, 2. Hand probabilities and multiple decks - probability tables.
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The following tables give the CA by simulation for the following rule sets:Ĭopyright 2023, the 888 Group. The results I present below were obtained by simulations of four billion (4,000,000,000) hands of blackjack each. LSR (late surrender), player can surrender his initial two cards after the dealer checks for blackjack.DAS (double after split), player can double after splitting.DOA (double on anything), player can double on any first two cards. In what follows, I use the following abbreviations: In this post, I present CA by simulation for six other blackjack rule sets. In other words, he ran a bunch of rounds, recorded the number of times each event occurred, imported that data into a spread sheet, and completed his analysis from there. I asked Mike how he did his CA and he told me that his results in Appendix 4 were obtained by simulation. Recently, a reader of this blog asked if I knew a program that gave the CA for other rule sets. 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