Odds of a 7 card flush
March 9th, 2023 at 6:07:35 PM
permalink
What are the odds in Texas holdem of being dealt two cards of the same suit and then the flop, turn, and river are that same suit???
March 9th, 2023 at 6:52:12 PM
permalink
Not my game but I suppose it would be c(13,7) * 4 / c(52,7)
It’s all about making that GTA
March 9th, 2023 at 7:00:55 PM
permalink
Quote: Buddha365What are the odds in Texas holdem of being dealt two cards of the same suit and then the flop, turn, and river are that same suit???
link to original post
It doesn't matter what your first hole card is, but the other six cards have to match it; there are 12 cards of that suit out of 51.
There are C(51,6) = 18,900,460 ways to draw the 6 cards, of which C(12,6) = 924 would all be the same suit as the first card.
The probability = 924 / 18,900,460, or about 1 / 19,491.
March 9th, 2023 at 7:04:01 PM
permalink
Quote: Buddha365What are the odds in Texas holdem of being dealt two cards of the same suit and then the flop, turn, and river are that same suit???
link to original post
Around 1 in 20,000. Ballpark.
March 10th, 2023 at 9:10:43 AM
permalink
The algorithm is:
4 x combin(13,7) / combin (52,7)
= 4 * 1716 / 133784560
=0.000051306
4 x combin(13,7) / combin (52,7)
= 4 * 1716 / 133784560
=0.000051306
So many better men, a few of them friends, are dead. And a thousand thousand slimy things live on, and so do I.
March 10th, 2023 at 7:00:30 PM
permalink
Quote: gordonm888The algorithm is:
4 x combin(13,7) / combin (52,7)
= 4 * 1716 / 133784560
=0.000051306
link to original post
Which is around 1 in 20,000. Ballpark.
I’ve had a 7 card flush without joker at Pai Gow. But I’ve certainly played more than 20,000 hands…. So not unusual. M
