please solve it.

170 university students were surveyed. Each person was asked if they like Science fiction books, classics books, detective books, all of them or neither. The following information is the result: . 43% Science fiction . 47% Classics . 74% Science fiction or detective . 14% Science fiction and Classics . 21% Classics and detective . 16% Science fiction and detective . 7% Science fiction, Classics and detective a) What is the probability that students don't like any of the three book genres (i.e., doesn't like Science fiction, Classics and Detective)? (1 mark) b) what is the probability of selecting a student who likes only Detective books? (1 mark) c) What is the probability that a student likes Classics and Detective if we know he or she doesn't like Science Fiction? (2 mark)