Suppose that in a senior college class of 500 students, it is found that 204 smoke, 244 drink alcoholic beverages, 199

eat between meals, 116 smoke and drink alcoholic beverages, 77 eat between meals and drink alcoholic beverages, 89

smoke and eat between meals, and 49 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.