Outs question

[joker122]

I hold Q/images/graemlins/spade.gif Q /images/graemlins/heart.gif

Flop: A/images/graemlins/spade.gif K/images/graemlins/spade.gif 2/images/graemlins/diamond.gif

What are the odds of hitting the nut flush OR a broadway straight by the river?

[Lost Wages]

There are 47*46/2 = 1081 turn/river combinations. There are 10*9/2 = 45 ways to get a runner-runner flush, one of which is a royal. There are 4*4 = 16 ways to get JT for a backdoor straight but J /images/graemlins/spade.gifT /images/graemlins/spade.gif has already been counted leaving 15.

Probability = (45+15)/1081 = 5.55%

Lost Wages