(a) Suppose 2 = {0, 1,..., 15), A = (0,8), B = {1, 2, 3, 5, 8, 10, 12), C = {0, 4, 9, 15). Determine AnB, BNC, AUC, C\A, 22\(BUAUC). (b) Now consider the three pairwise disjoint events E, F, G with 2 = EU FUG and P(E) = 0.2 and P(F) = 0.5. Calculate P(F), P(G), P(ENG), P(EE), and P(EUF).
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