Problem 8: A survey of a group of 60 MAE students shows 39 students are taking MAE 105, 39 taking MAE 107 and 39 taking MAE 108. If there are 6 students taking MAE 105 but not the other two classes, 12 taking both MAE 105 and MAE 108 but not MAE 107, 9 taking both MAE 107 and MAE 108 but not MAE 105, and 15 taking all three classes. If one of these students is selected at random, find the probability that: (a) the student is taking MAE 108 but not the other two classes. (b) the student is taking MAE 107 but not the other two classes. (c) the student is taking both MAE 105 and MAE 107 but not MAE 108.