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…
CUET UG 2025 — Mathematics Algebra
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:
Held on 16 May 2025 · Verified 13 Jul 2026.
Options
- A
(A) and (B) only
- B
(A), (B) and (C) only
- C
(B), (C) and (D) only
- D
(C) and (D) only
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