CUET Mathematics - A die is tossed once. If the random variable X is defined as X = cases 1, & if the die result in an odd number \\ -1, & if the die result in an even number cases, then the variance of X is | PYQs + Solutions

CUET Mathematics 2025 30 May Shift 1

Algebra

Medium

core

$\frac{1}{2}$

$\frac{1}{4}$

✅ Correct Option: 2

Related questions:

19 May Shift 1

Match List-I with List-II

Let A and B be any two events

List-I	List-II
(A) $P(A')$	(I) $\frac{P(A \cap B)}{P(A)}; P(A) \neq 0$
(B) $P(\phi)$	(II) $\frac{P(A \cap B)}{P(B)}; P(B) \neq 0$
(C) $P(A\|B)$	(III) $1 - P(A)$
(D) $P(B\|A)$	(IV) 0

Choose the correct answer from the options given below:

2 June Shift 1

For any events A and B of a sample space S, which of the following statements are TRUE?

(A) $P(S | B) = 1$

(B) $P(A \cap B) = P(A) + P(B) + P(A \cup B)$

(D) $P(A | B) = \frac{P(A \cap B)}{P(B)}, P(B) \neq 0$

Choose the correct answer from the options given below:

21 May Shift 2

A couple has 3 children each child is equally likely to be a boy or a girl. The probability that the eldest child is a girl given that they have atleast one boy is:

CUET Mathematics 2025 30 May Shift 1 PYQs

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