A family has 3 children. The gender of each child is independent of the others and is equally likely to be a boy or a girl.
(a) Find an event space for the experiment.
(b) Which subset of the event space corresponds to the event that the second child is a boy? Compute the probability of this event.
(c) Which subset of the event space corresponds to the event that the third child is a girl? Compute the probability of this event.
(d) What is the probability that the second child is a boy and the third child is a girl?
(e) What is the probability that the second child is a boy or the third child is a girl?
(f) What is the probability that either the second child is a boy or the third child is a girl (and not both)?