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