Assume that the probability of a boy being born is the same as the probability of a girl being born. Find the probability that a family with five children will have the given composition. At least one girl.
E) 1
F) 0

Question

Assume that the probability of a boy being born is the same as the probability of a girl being born. Find the probability that a family with five children will have the given composition. At least one girl.
E) 1 
F) 0

Quizplus · Accepted Answer

We can use the complement rule to find the probability that a family with five children has no girls and subtract this from 1 to find the probability that at least one girl is born. The probability of having no girls is $(\frac{1}{2})^5=\frac{1}{32}$, so the probability of having at least one girl is $1-\frac{1}{32}=\frac{31}{32}$. Thus, the answer is choice B, $\frac{31}{32}$.

Assume That the Probability of a Boy Being Born Is