A committee of six people is to be selected from a group of 14 people. Six of the 14 people are men and the rest are women.
a) If a committee is randomly selected, find the probability that the committee has no women.
The number of possible committees = C(14,6) = 3003
But.......only one of these contains all six men
So.....the probability of no women = 1 / 3003 = 0.0003330003330003 = about .0333%