8. A woman and a man (unrelated) each have two children. At least one of the woman's children is a boy. The man's oldest child is a boy. Given this information, is the probability that the woman has two sons equal to the probability that the man has two sons? a. List all possible combinations of male and female children that fit the descriptions given for the children of the man and woman. Possible combinations for woman's family: Possible combinations for man's family: b. You can assume gender of the children is determined at conception with an equal probability that a child will be male or female. Hence, all possible combinations that meet the descriptions above can be considered equally likely. On this basis, compute the probabilities for the events: P [The man's children are both male]: P [The woman's children are both male]