CUET Mathematics - A school has to send the report cards of 3 students, but the cleark has not paid attention to match the address on the envelope with the student report card is: The probability that exactly one of the students received his or her own report card is: | PYQs + Solutions

CUET Mathematics 2026 22nd May Shift 1

Algebra

Medium

core

$\frac{1}{2}$

$\frac{1}{4}$

$\frac{3}{7}$

$\frac{1}{3}$

✅ Correct Option: 1

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) $P(A\vert B)$	(III) $1 - P(A)$
(D) $P(B\vert A)$	(IV) 0

Choose the correct answer from the options given below:

31st May Shift 2

Match the LIST-I with LIST-II

	LIST-I		LIST-II
A.	If $A$ and $B$ are mutually exclusive events then $P(A \cup B) =$	I.	$\dfrac{P(A \cap B)}{P(B)}, P(B) \neq 0$
B.	If $A$ and $B$ are independent events then $P(A \cap B) =$	II.	$\dfrac{P(A \cap B)}{P(A)}, P(A) \neq 0$
C.	If $A$ and $B$ are two events of a sample space of an experiment, then $P(A/B) =$	III.	$P(A) \cdot P(B)$
D.	If $A$ and $B$ are two events of a sample space of an experiment, then $P(B/A) =$	IV.	$P(A) + P(B)$

Choose the correct answer from the options given below:

30th May Shift 1

A box has 5 blue and 4 red balls. One ball is drawn at random and not replaced. Its colour is also not noted, then another ball is drawn at random. The probability of second ball being red is

CUET Mathematics 2026 22nd May Shift 1 PYQs

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