The American Association for Marriage and Family Therapy (AAMFT) is a group of professional therapists and family practitioners that treats many of the nation’s couples and families. The AAMFT released the findings of a study that tracked the post-divorce history of 100 pairs of former spouses with children. Each divorced couple was classified into one of four groups, nicknamed “perfect pals (PP),” “cooperative colleagues (CC),” “angry associates (AA),” and “fiery foes (FF).” The proportions classified into each group are shown in Table 2 .

Suppose one of the 100 couples is selected at random.

a. Define the experiment that generated the data in Table 2 , and list the sample points.

b. Assign probabilities to the sample points.

c. What is the probability that the former spouses are “fiery foes?”

d. What is the probability that the former spouses have at least some conflict in their relationship?

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Table 2 Results of AAMFT Study of Divorced Couples Group Proportion Perfect Pals (PP) (Joint-custody parents who get along well) .12 Cooperative Colleagues (CC) (Occasional conflict, likely to be remarried) .38 Angry Associates (AA) (Cooperate on children-related issues only, conflicting otherwise) Fiery Foes (FF) (Communicate only through children, hostile toward each other) .25 .25