CUET Mathematics 2022 7 Aug Shift 2Algebra > Easy0−15-\frac{1}{5}−5115\frac{1}{5}511✅ Correct Option: 2Related questions:22 May Shift 2The random variable X can take values 0, 1, 2. If P(X=0)=P(X=1)=αP(X=0)=P(X=1)=\alphaP(X=0)=P(X=1)=α, and E(X2)=E(X)E(X^2)=E(X)E(X2)=E(X), then which of the following are correct? (A) E(X)=2−3αE(X) = 2-3\alphaE(X)=2−3α (B) E(X2)=4+7αE(X^2) = 4+7\alphaE(X2)=4+7α (C) α=12\alpha = \frac{1}{2}α=21 (D) α=15\alpha = \frac{1}{5}α=51 Choose the correct answer from the options given below:21 May Shift 2Let A and B be independent events such that P (A) = 0.3 and P (B) = 0.4, then Match List-I with List-II List-IList-II(A) P(A∩B)P(A \cap B)P(A∩B)(I) 0.3(B) P(A∪B)P(A \cup B)P(A∪B)(II) 0.4(C) P(A∣B)P(A \mid B)P(A∣B)(III) 0.12(D) P(B∣A)P(B \mid A)P(B∣A)(IV) 0.58 Choose the correct answer from the options given below:14 May Shift 2An urn I contains 3 white and 4 blue balls, while urn II contains 5 white and 6 blue balls. One ball is drawn at random from one of the urns and it is found to be white. The probability that it was drawn from urn II is