In a distant land, parents continue to have children until they have a girl and then they stop having kids. Assume there is no limit to the number of births possible to each couple.
(a) What is the expected number of girls in each family?
(b) What is the expected number of boys in each family?
Part a is 1 since they stop as soon as they have a girl. What is part b? I am trying to apply geometric series but I can't find a solution.