CUET Mathematics - Let A, B, C be three events. If the probability of occurring exactly one out of A and B is 1/5, exactly one of B and C is 1/5, exactly one of C and A is 1/5 and that of occurring of three events is 4/25, then the probability of occurring at least one of them is | PYQs + Solutions

CUET Mathematics 2025 26 May Shift 2

Algebra

Hard

core

$\frac{6}{25}$

$\frac{27}{50}$

$\frac{43}{50}$

$\frac{23}{25}$

✅ Correct Option: 3

Related questions:

22 May Shift 1

A random variable X has the following probability distribution:

X	-2	-1	0	1	2	3
P(X)	0.1	0.2	k	0.3	2k	0.1

then which of the following are TRUE?

(A) $k=0.1$

(B) $P(X < 1) = 0.4$

(D) $P(0 < X < 3) = 0.5$

Choose the correct answer from the options given below:

16 May Shift 1

In a game, a man wins ₹ 8 for getting a number greater than 3 and loses ₹ 3 otherwise, when a fair die is thrown. The man decided to throw a die 4 times but to quit as and when he gets a number greater than 3. If X denotes the amount which the man wins or loses, then which of the following are correct?

(A) All the possible values of X are 8, 5, 2 and -1.

(B) The probability distribution of X is:

X	8	5	2	-1	-12
P(X)	1/2	1/4	1/8	1/16	1/16

(D) The variance of X is 6615/256.

Choose the correct answer from the options given below:

16 May Shift 1

If the random variable X follows the Poisson distribution such that P[X = k] = P[X = k+1], then the mean value of X is:

CUET Mathematics 2025 26 May Shift 2 PYQs

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