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

Obviously you need to have suited hole cards.

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  • What did your fiend Google tell you?
    – Mawg
    Jul 24, 2017 at 8:05

1 Answer 1

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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

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