0

What are the odds of flopping a flush or 4 flush?

Obviously you need to have suited hole cards.

1

I just ran the numbers and thought it was worth posting

Using Combination

flops combin(50, 3) = 19600

3 flush combin(11, 3) = 165 / 19600 = 0.0084183673 = 0.84% = 1/119

2 flush combin(11, 2) = 55 other cards = 39 55 * 39 / 19600 = 0.1094387755 = 11% = 1 / 9

flush or 4 flush = 0.0084183673 + 0.1094387755 = 0.1178571429 = 12% = 1 / 8.5

4 flush hit on the turn = 9 / 47 = 0.1914893617 = 19% = 1 / 5.22

4 flush hit on the river = 8 / 46 = 0.1956521739 = 20% = 1 / 5.11

flush hit on turn or river or both
( 9 flush x 47 other card + combine(9, 2) ) / combin(47, 2) = 0.3496762257 = 35% = 1 / 2.9

flush by the river = 0.063998282 = 6% = 1 / 15.6

| improve this answer | |

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.