An experiment results in one of three mutually exclusive events. A, B, or C. It is known that P(A) =

.30, P(B) = .55, and P(C) = .15. Find each of the following probabilities:

a. P(Au B)

b. P(A nC) I

c. P(A~B)

d. P(BUC)

e. Are B and C independent events? Explain.