Poker Straight Flush Probability
Conclusion: There are 10,240 different poker hands that can be classified as a straight - either a straight flush or an ordinary straight. Finally, compute the probability of being dealt a straight. There are 2,598,960 unique poker hands. Poker probability analysis. The linked pages give probabilities when misc. Wild cards are included. Royal Straight Flush 4. Other Straight Flush 36.
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.
Poker Straight Flush Probability Calculator
Probability Of Straight Flush Poker
Here is the Perl program that produced the tables. Mark Brader has placed both the program and the tables in the public domain.