Suppose a family contains two children of different ages, and we are interested in the

Chapter 2, Problem 2.1

(choose chapter or problem)

Suppose a family contains two children of different ages, and we are interested in the gender of these children. Let F denote that a child is female and M that the child is male and let a pair such as F M denote that the older child is female and the younger is male. There are four points in the set S of possible observations: S = {F F, F M, M F, M M}. Let A denote the subset of possibilities containing no males; B, the subset containing two males; and C, the subset containing at least one male. List the elements of A, B,C, A B, A B, A C, A C, B C, B C, and C B.