Question

In a club with 9 male and 13 female​ members, a 3​-member committee will be randomly chosen. Find the probability that the committee contains at least 2 women.

Answer 1

In a club with 9 male and 13 female​ members.

Total members = 9 male + 13 female = 22

A 3​-member committee will be randomly chosen.

We have to find the probability that the committee contains at least 2 women.

There are two possibilities ( 2 women , 1 men ) or P( all women ).

P( committee contains at least 2 women ) = P( 2 women , 1 men ) + P( all women )

The probability that the committee contains at least 2 women is 0.64155