Suppose a committee of 3 people is to be selected from a group consisting of 4 men and 5 women.What is the probability that one man and two women are selected?
A)0.15
B)0.06
C)0.33
D)0.48
E)0.58

Question

Quizplus · Accepted Answer

To find the probability, calculate the number of favorable outcomes and divide by the total number of outcomes. The total number of ways to choose 3 people from 9 is C(9,3) = 84. The number of ways to choose 1 man from 4 is C(4,1) = 4, and the number of ways to choose 2 women from 5 is C(5,2) = 10. Therefore, the number of favorable outcomes is 4 * 10 = 40. The probability is 40/84 = 0.48.

Suppose a Committee of 3 People Is to Be Selected