Re: Chapter 6
1 - (38/47 * 37/46) = 0.3496762257
In plain English subtract the probability of not hitting the flush on either the turn or river from 1. You're left with the flush probability.
Odds are (1 - 0.3496762257)/0.3496762257 = 1.8597883598 to 1 against
The other way to do this is:
9/47 + (1 - 9/47) * 9/46 =
0.1914893617 + 0.8085106383 * 0.1956521739 =
0.1914893617 + 0.158186864 = 0.3496762257
In plain english, the probability of hitting on the turn (9/47) is added to the probability of hitting on the river (9/46) when you didn't hit the turn (1 - 9/47).
|