1 .
When a couple has a child, this child is a boy with probability 1/2 and a girl with probability
1/2, independent of the gender of previous children. A couple stops having children as soon as
they have a child that has the same gender as their first child. Define the events
- A = "the second child is a boy"
and
- B = "the couple has at least three children and the third child is a boy".
Which of the following is true?