From a group of 4 boys and 4 girls, 6 children are to be randomly selected.

From a group of 4 boys and 4 girls, 6 children are to be randomly selected. What is the probability that 3 boys and 3 girls will be selected?

Quiz

Answer/Solution

4/7

Steps/Work

The total number of ways to choose 6 children from 8 is 8C6 = 28
The number of ways to choose 3 boys and 3 girls is 4C3*4C3 = 4*4 = 16
P(3 boys and 3 girls) = 16/28 = 4/7
The answer is D.