The students of a certain school engage in various sports in the following proportions: Football, 30% of all students. Basketball, 20%. Baseball, 20%. Both football and basketball, 5%. Both football and baseball, 10%. Both basketball and baseball, 5%. All three sports, 2%. If a student is chosen by lot for an interview, what is the chance that he will be:
(a) An athlete (playing at least one sport)?
(b) A football player only?
(c) A football player or a baseball player? If an athlete is chosen by lot, what is the chance that he will be:
(d) A football player only?
(e) A football player or a baseball player?
(f) Use your result in (a) to generalize (3-14).