Buddha365
Buddha365
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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???
Ace2
Ace2
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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)
Itís all about making that GTA
ThatDonGuy
ThatDonGuy
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March 9th, 2023 at 7:00:55 PM permalink
Quote: Buddha365

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???
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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.
SOOPOO
SOOPOO
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March 9th, 2023 at 7:04:01 PM permalink
Quote: Buddha365

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???
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Around 1 in 20,000. Ballpark.
gordonm888
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gordonm888
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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
So many better men, a few of them friends, are dead. And a thousand thousand slimy things live on, and so do I.
SOOPOO
SOOPOO
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March 10th, 2023 at 7:00:30 PM permalink
Quote: gordonm888

The algorithm is:

4 x combin(13,7) / combin (52,7)

= 4 * 1716 / 133784560

=0.000051306
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Which is around 1 in 20,000. Ballpark.

Iíve had a 7 card flush without joker at Pai Gow. But Iíve certainly played more than 20,000 handsÖ. So not unusual. M
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