Three language classes are offered to 100 students: spanish, french, and german. 28 students take spanish, 26 take french and 16 take german. in addition 12 students take both spanish and french, 4 take both spanish and german, 6 take both french and german, and 2 enroll in all three.

(a) if a student is chosen randomly, what is the probability that they are not in any of these classes?

(b) if a student is chosen randomly, what is the probability that they are taking exactly one language class?

(c) if two students are chosen randomly, what is the probability that at least one of them is taking a language class?