JEE Advanced 2021 | Probability PYQ Solutions | Complete Explanation | Take in Maths

Q.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… [JEE Advanced 2021]
(A) 1/5 (B) 3/5 (C) 1/2 (D) 2/5
Complete solutions of the questions of JEE Adv. 2021 of probability.
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