Question

Given a family with four children, find the probability of the event. The youngest is a boy, given that the birth order alternates between girls and boys is

Answer 1

Given that the birth alternates between a boy and a girl, there are 2 options which are as follows.

Let

G = Girls

B = boys

Therefore,

$\begin{gathered} \text{GBGB} \\ BGBG \end{gathered}$

The probability that the youngest will be a boy in this scenario will be

$\frac{1}{2}$