1. Let A, B, and C be events in an outcome space. Suppose A and C are disjoint, and A and B are independent. A C B We know the following probabilities: . P(A) = .2 . P(BUC) = .5 . P(B) = .3 . P(BnC) = .05 Please calculate these probabilities: (a) P(C) (b) P(AnB) (c) P(AUBUC) (d) P(B C) (e) Write P(B|C) in terms of P(C B). Verify that the result is the same as part (d)