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Consider three sets E = {1,2,3}, F = {1,3,4} and G = {2,3,4,5). Two elements are chosen at random, without replacement, from the set

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Consider three sets E = {1,2,3}, F = {1,3,4} and G = {2,3,4,5). Two elements are chosen at random, without replacement, from the set E, and let S denote the set of these chosen elements. Let E = E - S and F = F U S. Now two elements are chosen at random, without replacement, from the set F2 and let S denote the set of these chosen elements. Let G = G US2. Finally, two elements are chosen at random, without replacement, from the set G2 and let S3 denote the set of these chosen elements. = Let E3 E2 US3. Given that E= E3, let p be the conditional probability of the event S = {1, 2}. Then the value of p is 15 (A) / 35 (B) 22 25 (D) /

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