CUET Mathematics - A committee of 4 students is selected at random from a group consisting of 8 girls and 4 boys. Given that there is at least one boy in the committee, the probability that there are exactly 2 boys in the committee is | PYQs + Solutions

CUET Mathematics 2026 26th May Shift 2

Algebra

Medium

core

$\dfrac{85}{99}$

$\dfrac{168}{425}$

$\dfrac{56}{165}$

$\dfrac{257}{425}$

✅ Correct Option: 2

Related questions:

26 May Shift 2

If the random variable X has the following probability distribution:

X	0	1	2	otherwise
P(X)	k	3k	5k	0

Match List-I with List-II

List-I	List-II
(A) k	(I) $\frac{13}{9}$
(B) E (X)	(II) $\frac{4}{9}$
(C) P (X ≤ 1)	(III) $\frac{8}{9}$
(D) P (1 ≤ X ≤ 2)	(IV) $\frac{1}{9}$

Choose the correct answer from the options given below:

(A) - (II), (B) - (I), (C) - (IV), (D) - (III)
(A) - (IV), (B) - (I), (C) - (II), (D) - (III)
(A) - (IV), (B) - (II), (C) - (I), (D) - (III)
(A) - (III), (B) - (II), (C) - (I), (D) - (IV)

29th May Shift 1

Bag A contains 3 red and 5 white balls and bag B contains 4 red and 4 white balls. A bag is selected at random, and a ball is drawn. Then the probability of getting a red ball is:

23 May Shift 3

If a fair coin is tossed 10 times, then the probability of obtaining at least one head is :

CUET Mathematics 2026 26th May Shift 2 PYQs

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