# Problem 52 Solution

Since the probability is 50/50 for a boy or girl in each pregnancy
there are four possibilities for a two child pregnancy, each with
equal probability:

- Boy then boy
- Boy then girl
- Girl then boy
- Girl then girl

We know that for this particular mother the last possibility is
not the case. The other three are still equally likely. In two
of the other possibilities the other child is a girl, in one
it is a boy. Thus the probability that the other child is a boy
is 1/3.
**Note**: This is similar to the question in
problem 16 which approaches the solution another way.

Michael Shackleford, A.S.A.