Probability of a family having 3 girls and then a boy?
By Joseph Russell •
Helping my daughter with a science fair project.
We are a family with four kids, three girls and then a boy.
What is the probability of a family having four kids and the first three are girls and then a boy? So... want probability of four kids in that gender order - girl, girl, girl and then boy.
Thank you!
$\endgroup$ 51 Answer
$\begingroup$The probabability of any combination in which the order is given is $\frac{1}{16}$.
We must have the events $G,G,G,B$ in that order where the probability of each one is $\frac{1}{2}$. Thus the probability is:
$\frac{1}{2}\times\frac{1}{2}\times \frac{1}{2}\times\frac{1}{2}=\frac{1}{16}$
$\endgroup$ 1
