Question

Ten students in your class put their names on slips of paper inside a box. Out of the ten students, four are girls, and six are boys. Five names are chosen.

What is the probability that three girls and two boys are chosen?

1.90%
350%
7.14%
23.81%

Answer 1

23.81%

Explanation:

The total number of ways to select 5 out of 10 will be;

10 C 5 = 252

The number of ways of selecting 2 boys out of 6 will be

6 C 2 = 15 ways

The number of ways of selecting 3 girls out of 4 will be

4 C 3 = 4 ways

The probability of both will be;

(4 * 15)/252 = 60/252 = 0.238095238095

To the nearest percentage, that will be 23.81%