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.