Question

Suppose that in a senior college class of 500 ​students, it is found that 212 smoke, 254 drink alcoholic​ beverages, 206 eat between​ meals, 121 smoke and drink alcoholic​ beverages, 74 eat between meals and drink alcoholic​ beverages, 90 smoke and eat between​ meals, and 45 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.

Answer 1