A group has 12 men and 4 women.If 3 people are selected at random from the group,what is the probability that they are all men?
A)0.122
B)0.393
C)0.544
D)0.287
E)0.621

Question

Quizplus · Accepted Answer

The probability of selecting 3 men from a group of 12 men and 4 women (total 16 people) can be calculated using combinations. The number of ways to choose 3 men out of 12 is 12C3, and the total number of ways to choose 3 people out of 16 is 16C3. Therefore, the probability is (12C3) / (16C3) = (12! / (3! * 9!)) / (16! / (3! * 13!)) = 220 / 560 = 0.393.

A Group Has 12 Men and 4 Women