A committee consist of 8 women and 11 men. Three members are chosen as officers. What is the probability that all three officers are women?
A) 0.0578
B) 0.01243
C) 0.1703
D) 0.0746

Question

Quizplus · Accepted Answer

The probability that all three officers are women is calculated by dividing the number of ways to choose 3 women from 8 by the total number of ways to choose 3 people from 19 (8 women + 11 men). This is $\frac{{8C3}}{{19C3}} = \frac{{56}}{{969}} \approx 0.0578$.

A Committee Consist of 8 Women and 11 Men