CUET · MATHS · PYQ PAPER 2025
A die is rolled in such a way that an even number is twice likely to occur as an odd number.
If the die is rolled twice, then the mean of the number of perfect squares in two tosses is :
- A 1
- B \(1 / 3\)
- C \(2 / 3\)
- D 1
Answer & Solution
Correct Answer
(C) \(2 / 3\)
Step-by-step Solution
Detailed explanation
\(P(\text{odd}) = x, P(\text{even}) = 2x\) \(3x + 3(2x) = 1 \implies 9x = 1 \implies x = 1/9\) \(P(1) = 1/9, P(4) = 2/9\) \(P(\text{perfect square in one toss}) = P(1) + P(4) = 1/9 + 2/9 = 3/9 = 1/3\)…
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