In a high school literature club, there are 3 groups: one isNovel, one in Poetry, and one in Comics. These sections are open toany of the 100 students in the school. There are 25 students in theNovel group, 31 in the Poetry group, and 19 in the Comics group.There are 18 students that are in both Novel and Poetry, 7 that arein both Novel and Comics, and 14 are in both Poetry and Comics. Inaddition, there are 5 students taking all 3 groups. If a studentchosen at random,
a) the probability that he is not included in any of thesegroups is
b) the probability that he is playing exactly one literaturegroup is
c) When two people are chosen randomly, the probability that atleast 1 is included in a group is