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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

2 Answers

1 vote

Answer:

33/266

Explanation:

User Mike Purcell
by
8.1k points
4 votes
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
User Rishi Dua
by
7.7k points