Poker Probability Of Flush
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.
Poker Probability Of Flush Rules
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.
Poker Probability Royal Flush
Poker Hand Number of Combinations Probability Royal Straight Flush 4. Other Straight Flush 36. A flush is a hand that contains five cards all of the same suit, not all of sequential rank, such as K ♣ 10 ♣ 7 ♣ 6 ♣ 4 ♣ (a 'king-high flush' or a 'king-ten-high flush'). It ranks below a full house and above a straight. Under ace-to-five low rules, flushes are not possible (so J ♥ 8 ♥ 4 ♥ 3 ♥ 2 ♥ is a jack-high hand). It's worth mentioning that there is an additional (19.4%. 17.4%) = 3.33% chance of completing the flush on the turn and seeing another flush card on the river. Because players going all-in for a flush draw after the flop usually have near the nuts, this 3.33% outcome means the pot odds calculation depends on how high your flush is. The probability of getting a straight flush then is 36/2,598,960 = 0.00001385. The table below lists the number of possible ways that different types of hands can arise and their probability of occurrence. Ranking, Frequency and Probability of Poker Hands.
Poker Probability Of Flush Toilets
Here is the Perl program that produced the tables. Mark Brader has placed both the program and the tables in the public domain.