Consider three sets E_1 = 1, 2, 3 , F_1 = 1, 3, 4 and G_1 = 2, 3, 4, 5 . Two elements are chosen at random,...

Question

Consider three sets E_1 = 1, 2, 3 , F_1 = 1, 3, 4 and G_1 = 2, 3, 4, 5 . Two elements are chosen at random, without replacement, from the set E_1, and let S_1 denote the set of these chosen elements. Let E_2 = E_1 - S_1 and F_2 = F_1 S_1. Now two elements are chosen at random, without replacement, from the set F_2 and let S_2 denote the set of these chosen elements. Let G_2 = G_1 S_2. Finally, two elements are chosen at random, without replacement, from the set G_2 and let S_3 denote the set of these chosen elements. Let E_3 = E_2 S_3. Given that E_1 = E_3, let p be the conditional probability of the event S_1 = 1, 2 . Then the value of p is

Accepted Answer

(A)

JEE Advanced 2021 Mathematics question

Solution

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