Carcass wrote:
If 3 men and 4 women are being considered for election to the executive board of a co-op, which has 3 positions, which of the following is the approximate probability that the executive board will not be all men?
A. 0.00
B. 0.03
C. 0.10
D. 0.42
E. 0.97
P(the 3 selections are not ALL male) = 1 -
P(all 3 selections ARE male) P(all 3 selections ARE male) = P(1st person selected is male
AND 2nd person selected is male
AND 3rd person selected is male)
= P(1st person selected is male)
x P(2nd person selected is male)
AND P(3rd person selected is male)
= 3/7
x 2/6
x 1/5
= 1/35
≈ 0.029
≈
0.03
So, P(the 3 selections are not ALL male) = 1 -
0.03= 0.97
Answer: E