An experiment has a sample space of 7 elements, x_{1, }x_{2}, x_{3 ..... x}_{7. }The probabilities are listed below.

x1 - 0.12 x2 - 0.31 x3 - 0.08 x4 - 0.11 x5 - 0.21 x6 - 0.04 x7 - 0.13

Let A = {x_{k}| k is even}

B = {x_{k}| k >= 5}

C = {x_{k }| k < 4} and

D = {X_{k}| k = 2, 4, or 7}

Calculate the following probabilities: P(A), P(B), P(C), P(D), P(B U C) - (read as probability of B union C), P(A n B) - (read as probability of intersection of A and B), P(D^c) - (read as complement of D), P(A U C^c) - (read as probability of A union complement of C)

My answers: P(A) = .46 P(B) = .38 P(C) = .51 P(D) = .55 P(B U C) = .89 P(A n B) = .04 P(D^c) = .45 P(A U C^c) = .80