Texas Holdem Flush Statistics
A flush is any 5 cards of the same suit. Below shows the probabilities of obtaining a flush
for both suited and non-suited hole cards. The calculations include
straight flushes and excludes flushes of different suits than your hole cards.
You can see that suited hole cards have almost a 3.5x better chance of getting
a flush than non-suited hole cards. (C(n,r) choose function)
Suited hole cards:
(C(11,3)*C(39,2) + C(11,4)*39 + C(11,5)) / C(50,5) = 6.399%
Off-suit hole cards:
2*[C(12,4)*38 + C(12,5)] / C(50,5) = 1.85%
| Probabilities for completing a flush draw with suited hole cards after flop | |||
|---|---|---|---|
| Complete on Turn or River | Complete on Turn | Complete on River | |
| Need 1 card | 34.967% | 19.15% | 19.165% |
| Need 2 cards | n/a | n/a | 3.33% |
