Solve the problem.
-Assume that the probability is $\frac { 1 } { 2 }$ that a child born is a boy. What is the probability that a family with three children has just one boy?
A) $\frac { 3 } { 8 }$
B) $\frac { 1 } { 2 }$
C) $\frac { 1 } { 8 }$
D) $\frac { 1 } { 3 }$

Question

Quizplus · Accepted Answer

The probability of having just one boy in a family of three children can occur in three different scenarios: boy-girl-girl, girl-boy-girl, or girl-girl-boy. Each of these scenarios has a probability of $(\frac{1}{2})^3 = \frac{1}{8}$, so the total probability is $3 \times \frac{1}{8} = \frac{3}{8}$.

Solve the Problem 12\frac { 1 } { 2 }21​ That a Child Born Is a Boy

Solve the Problem $\frac { 1 } { 2 }$ That a Child Born Is a Boy