*Question:* sets and basic probabilities the probabilities of two events a...

###### Question details

Sets and Basic Probabilities-

The probabilities of two events A and B are

P(A) = 0.75, P(B) = 0.45.

(a) Are A and B mutually exclusive? Justify your answer.

(b) Given additionally that P (A ∪ B)c = 0.15 find P (A ∩ B).