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...

Extracted text: 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= (FF, FM, 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, AN B, A U B, ANC, AUC, BNC, BUC, and CNB.