Here is a table summarizing the number of 3-card poker hands. Probability is the probability of having the hand dealt to you when dealt 3 cards. Poker Hand Probabilities Mark Brader has provided the following tables of probabilities of the various five-card poker hands when five cards are dealt from a single 52-card deck, and also when using multiple decks. The traditional hand types are described on the poker hand ranking page.
Odds And Probabilities How To Calculate Odds In Poker
Mark Brader has provided the following tables of probabilities of the various five-card poker hands when five cards are dealt from a single 52-card deck, and also when using multiple decks.
The traditional hand types are described on the poker hand ranking page. These include one hand that belongs to two types at once - a straight flush is both a straight and a flush. With two or more decks, it is possible for other combinations to occur, such as a hand that has both a flush and a pair (such as 4-6-6-8-9 all of one suit). The left-hand tables include these composite hand types for multiple decks; in these tables 'plain' means a hand that is not a flush.
The hands are listed in descending order of probability, which could be used as the basis for their ranking order in multi-deck poker variations. It can be seen that as the number of decks increases, flushes become easier to make than straights, and sets of equal cards become more common.
PROBABILITY: 5-CARD POKER HANDS
Here is the Perl program that produced the tables. Mark Brader has placed both the program and the tables in the public domain.