Suppose that in a senior college class of 500 students, it is found that 210 smoke, 245 drink alcoholic beverages, 197 eat between meals, 119 smoke and drink alcoholic beverages, 72 eat between meals and drink alcoholic beverages, 95 smoke and eat between meals, and 47 engage in all three of these bad health practices. If a member of this senior class is selected at random, find the probability that the student (a) smokes but does not drink alcoholic beverages; (b) eats between meals and drinks alcoholic beverages but does not smoke; (c) neither smokes nor eats between meals.

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