Suppose an interdisciplinary committee of 3 faculty members is to be selected from a group consisting of 4 men and 5 women.The probability that one male faculty and two female faculty are selected is approximately ______
A)0.15
B)0.06
C)0.33
D)0.48
E)0.58

Question

Quizplus · Accepted Answer

The total number of ways to select 3 faculty members from 9 people is C(9,3). The number of ways to select 1 man from 4 is C(4,1), and the number of ways to select 2 women from 5 is C(5,2). The probability is (C(4,1) * C(5,2)) / C(9,3) = (4 * 10) / 84 = 40/84 ≈ 0.48.

Suppose an Interdisciplinary Committee of 3 Faculty Members Is to Be