If the parents of a family already have two boys, what is the probability that the next two offspring will be girls?
A)1
B)1/2
C)1/3
D)1/4
E)1/8

Question

Quizplus · Accepted Answer

The gender of each child is independent of the gender of the other children. Each child has a 50/50 chance of being a boy or a girl. Therefore, the probability of the next child being a girl is 1/2. The probability of the second child also being a girl is also 1/2. The probability of both events happening together (i.e. having two girls in a row) is the product of the probabilities, which is (1/2) x (1/2) = 1/4.

If the Parents of a Family Already Have Two Boys