CUET Mathematics - 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 | (C) The mean value of X is 75/16. (D) The variance of X is 6615/256. Choose the correct answer from the options given below: | PYQs + Solutions

CUET Mathematics 2025 16 May Shift 1

Algebra

Hard

applied

(A) and (B) only

(A), (B) and (C) only

(B), (C) and (D) only

✅ Correct Option: 3

Related questions:

29 May Shift 2

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

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

Choose the correct answer from the options given below:

19 May Shift 1

Bag A contains 2 unbiased and 3 biased coins whereas Bag B contains 3 unbiased and 2 biased coins. A bag is selected at random and 2 coins are taken out simultaneously. The probability, that both coins are unbiased is:

26 May Shift 2

If A and B are two distinct events such that P(A|B) = P(B|A), then which of the following is /are possible?

(A) A= B

(B) P (A) = P(B)

(D) A∩ B = ɸ

Choose the correct answer from the options given below:

CUET Mathematics 2025 16 May Shift 1 PYQs

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