CUET Mathematics 2025 22 May Shift 1 PYQs

Match List-I with List-II

Let A & B are two events such that P(A)=0.8, P(B)=0.5, P(B|A)=0.4

List-I	List-II
(A) $P(A \cap B)$	(I) 0.2
(B) $P(A \mid B)$	(II) 0.32
(C) $P(A \cup B)$	(III) 0.64
(D) $P(A')$	(IV) 0.98

Choose the correct answer from the options given below:

If the binomial distribution $X\sim B(n, p)$ of mean 3 and variance $\frac{3}{2}$ $(p + q) = 1$, then which of the following is/are TRUE?

(A) $q = \frac{1}{2}$, $n = 6$

(B) $P(X \leq 5) = \frac{63}{64}$, $p = \frac{1}{2}$

(C) $q = \frac{1}{3}$, $p = \frac{2}{3}$

(D) $P(X = 4) = \frac{15}{64}$, $n = 6$

Choose the correct answer from the options given below:

The random variable X has the following probability distribution

X	0	1	2	3
P(X)	a	a	b	b

such that E(x²) = 2E(x), then the value of b is: