Suppose that a couple has four children. Assume that all 16 outcomes in the sample space are equally likely. 

a. List the sample space of all possible outcomes for the sexes of these four children. (For example, three of the possible outcomes are B₁B₂B₃B₄, B₁G₂B₃G₄, and B₁B₂G₃G₄, where B_i means that the ith child is a boy and G_i means that the ith child is a girl.) 

b. Determine the probability that all four children are of the same sex. 

c. Which is more likely—that the couple will have 2 children of each sex or a 3–1 breakdown? Justify your answer.