A committee consists of 10 women and 7 men. Three members are chosen as officers. What is the probability that all three officers are women?
A)0.1765
B)0.03392
C)0.2035
D)0.0515

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 10 by the total number of ways to choose 3 members from 17 (both men and women). This is $\frac{{\binom{10}{3}}}{{\binom{17}{3}}} = \frac{{120}}{{680}} = 0.1765$.

A Committee Consists of 10 Women and 7 Men