An experiment results in one of three mutually exclusive events A, B, and C. It is known that P(A) = .30, P(B) = .55, and P(C) = .15, Find each of the following probabilities:
a. P(A ∪ B).
b. P(A ∩ B)).
c. P(A | B)
d. P(B ∪ C)).
e. Are B and C independent events? Explain.