Question [10] :Of three events, A, B, and C, suppose events A

and B are independent and events B and C are mutually exclusive. Their probabilities are

P(A) = .7,P(C)=.3and P(B) =.2

Calculate the probabilities that

(a) Both B and C occur.(b) At least one of A and B occurs.

(c) B does not occur.

(d) All three events occur.