What are the probabilities of getting a "Straight flush" in a poker game?
I'm not a pretty much fun of Poker, but I'd like to study that game.
What are the probabilities of getting a Straight flush in a Poker game considering this factors?
Number of players
How are cards dealt
Who is the first player
$\endgroup$ 32 Answers
$\begingroup$If you are dealt five cards, there are $4\times10 =40$ possible straight flushes ($4\times 9 =36$ if you exclude royal flushes) out of the ${52 \choose 5}= 2598960$ possible hands. So the probability is $\dfrac{40}{2598960} = \dfrac{1}{64974} \approx 0.00001539\ldots$.
The probability will increase if you can have more than five cards to choose from. The probability that somebody will have a straight flush will increase if the number of players increases. It may reduce if you might drop out of the betting before seeing all five cards.
$\endgroup$ $\begingroup$Try the book, mathematics of poker by bill chen. Decent read.
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