Question

please provide explanations for questions 2 and 4.

(Naming events - Venn diagrams - Operations with sets - Probability 2. Suppose that in a senior college class of 500 students it is found that 98 smoke, 229 drink alcoholic beverages, 212 eat between meals, 70 smoke and drink alcoholic beverages, 83 eat between meals and drink alcoholic beverages, 49 smoke and eat between meals and 28 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 drinks alcoholic beverages but does not smoke. (Enter your answer correct to three decimal places, that is, O.XXX) 3. Refer to the information given in problem 2. If a member of this class is selected at random, find the probability that the student smoke and drinks alcoholic beverages but does not eat between meals. 4. Again referring to the information given in question 2, if a member of this senior class is selected at random, find the probability that the student eats between meals but neither drinks alcoholic beverages nor smokes.

Answer 1