Question

The members of an organization are 10 men and 11 women. What is the probability that a committee of three selected at random is all female? 1/7 33/266 110/1,029

Answer 1

Total number of members = 10+11=21
Probability of choosing first woman into committee= 11/21
Probability of choosing first woman into committee= 10/20
Probability of choosing first woman into committee= 9/19
Assume independence of choices, then
Probability of choosing an all women committee
= 11/21 * 10/20 * 9/19
= 33/266