Mr Mister has 2 children. One of these children is a boy who was born on a Tuesday. What is the probability that the other child is a boy?
If this probability can be written as , where and are coprime positive integers, find .
Assume that the probability of having a boy is half (if it is not a boy, it is a girl) and the probability of being born on Tuesday is irrespective of gender.
Knowing which day one of the children was born is important.