- Consider three sets E₁ = {1,2,3}, F₁ = {1,3,4} and G₁ =

Last updated: 7/12/2022

- Consider three sets E₁ = {1,2,3}, F₁ = {1,3,4} and G₁ = {2,3,4,5). Two elements are chosen at random, without replacement, from the set E₁, and let S₁ denote the set of these chosen elements. Let E₂ = E₁ − S₁ and F₂ = F₁ U S₁. Now two elements are chosen at random, without replacement, from the set F₂ and let S₂ denote the set of these chosen elements. Let G₂ = G₁ U S₂. 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 E₁-E3, let p be the conditional probability of the event S₁ = {1,2}. Then the value of p is (A) / 3 (B)-- (C) 2/1/2 (D) ²/3 2|5