Suppose you randomly select a family with three children. Assume that births of boys and girls are equally likely. What is the probability that the family has at least one boy?
A)0.857
B)0.75
C)0.125
D)0.875

Question

Quizplus · Accepted Answer

The probability of having at least one boy can be calculated by subtracting the probability of having no boys (all girls) from 1. Since each child can be a boy or a girl with equal probability, the probability of having three girls is (1/2)^3 = 1/8. Therefore, the probability of having at least one boy is 1 - 1/8 = 7/8 = 0.875.

Suppose You Randomly Select a Family with Three Children