Question

What is the probability that a couple will have a girl, a boy, a girl and a boy in this specific order?

Answer 1

Finding the probability that a couple will have a girl, a boy, a girl, and a boy in this specific order.

If the couple will give birth to a boy and a girl, hence the total outcome of the event is $2$.

$$\begin{gathered} P(havingaboy)=\frac{1}{2} \\ P(havingagirl)=\frac{1}{2} \\ P(agirl,aboy,agirlandaboy)=\frac{1}{2}\times \frac{1}{2}\times \frac{1}{2}\times \frac{1}{2}=\frac{1}{16} \end{gathered}$$

Hence, the probability that a couple will have a girl, a boy, a girl, and a boy in this specific order is $\frac{1}{16}$.