A high school science teacher has 78 students. of those students, 35 are in the band and 32 are on a sports team. there are 16 students who are not in the band or on a sports team. one student from the 78 students will be selected at random. let event b represent the event of selecting a student in the band, and let event s represent the event of selecting a student on a sports team. are b and s mutually exclusive events? responses no, because p(b∩s)=578. no, because the probability of, b intersection s, equals the fraction 5 over 78 . no, because p(b∩s)=4878. no, because the probability of, b intersection s, equals the fraction 48 over 78 . no, because p(b∩s)=6278. no, because the probability of, b intersection s, equals the fraction 62 over 78 . yes, because p(b∩s)=578. yes, because the probability of, b intersection s, equals the fraction 5 over 78 . yes, because p(b∩s)=6278.