CUET Mathematics - If A and B are event such that P(A)=1/2, P(B)=p and P(A B)=3/5 then which of following statements is/are TRUE? (A) Events A and B are independent if p=1/5 (B) Events A and B are independent if p (0,1) \1/5\ (C) Events A and B are independent then P(A B)=1/10 (D) Event A and B are independent then P(A B)=9/10 Choose the correct answer from the options given below: | PYQs + Solutions

CUET Mathematics 2026 29th May Shift 1

Algebra

Medium

common

(A) only

(B) and (D) only

(A) and (C) only

(A) and (D) only

✅ Correct Option: 3

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In Binomial distribution with parameters $n = 100$ and p, Variance of distribution is maximum when p is equal to :

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Match List-I with List-II

List-I	List-II
(A) For a random variable X, $E(X)=3$ and $E(X^2)=11$ , then $Var(X)$ is	(I) 25
(B) For a random variable X, $E(X)=3$ and $E(X^2)=13$ , then $Var\left(\frac{X}{2}\right)$ is	(II) 2
(C) In a binomial distribution, if $n=20, q=0.75$ , then its mean is	(III) 1
(D) If in a binomial distribution, mean is 5 and variance is 4, then the number of trials is	(IV) 5

Choose the correct answer from the options given below:

CUET Mathematics 2026 29th May Shift 1 PYQs