I figured the probability of there being 1/3 men and subtracted that from 1: P(1st pick being a man): 10/15 P(2nd pick being a man): 9/14 P(3rd pick being a man): 8/13 10/15*9/14*8/13 = 24/91 1-24/91 = 67/91 Is this not a good approach? I want to make sure I didn't get this correct "by accident...