Many medical researchers have conducted experiments to examine the relationship between cigarette smoking and cancer. Consider an individual randomly selected from the adult male population. Let A represent the event that the individual smokes, and let Ac denote the complement of A (the event that the individual does not smoke). Similarly, let B represent the event that the individual develops cancer, and let Bc be the complement of that event. Then the four sample points associated with the experiment are shown in Figure 15 , and their probabilities for a certain section of the United States are given in Table 5 . Use these sample point probabilities to examine the relationship between smoking and cancer.

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A B A B (Smoker, cancer) (Smoker, no cancer) A B A B (Nonsmoker, cancer) (Nonsmoker, no cancer) S