Suppose that a couple will have three children. Letting B denote a boy and G denote a

Question:

Suppose that a couple will have three children. Letting B denote a boy and G denote a girl:
a. Draw a tree diagram depicting the sample space outcomes for this experiment.
b. List the sample space outcomes that correspond to each of the following events:
(1) All three children will have the same gender.
(2) Exactly two of the three children will be girls.
(3) Exactly one of the three children will be a girl.
(4) None of the three children will be a girl.
c. Assuming that all sample space outcomes are equally likely, find the probability of each of the events given in part b.