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

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