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Using a sample space S = {1, 2, 3, 4} with Pr(i) = 1/4 and A = {1, 2} find examples of events B,C and

Using a sample space S = {1, 2, 3, 4} with Pr(i) = 1/4 and A = {1, 2} find examples of events B,C and D where Pr(A | B) < Pr(A), Pr(A | C) = Pr(A), and Pr(A | D) > Pr(A). Let E = {1, 2, 3}, F = {2, 3, 4} and G = {2, 3}. Then valid examples for B,C and D are: (a) E, F and G (b) F, E and G (c) F,G and E (d) G, E and F (e) none of these

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