CUET · MATHS · PYQ PAPER 2025
A pair of dice is thrown until the sum of numbers appeared is a perfect square or a non-perfect square sum appeared five times in succession. If random variable \(X\) denotes the number of non perfect square sums appeared. then \(P(X>0)\) is
- A \(\frac{7}{36}\)
- B \(\frac{29}{36}\)
- C 1
- D \(\frac{1}{2}\)
Answer & Solution
Correct Answer
(B) \(\frac{29}{36}\)
Step-by-step Solution
Detailed explanation
\(P(\text{sum is 4}) = \frac{3}{36}\) \(P(\text{sum is 9}) = \frac{4}{36}\) \(P(\text{perfect square sum}) = P(\text{PS}) = \frac{3+4}{36} = \frac{7}{36}\) \(P(X>0) = 1 - P(X=0)\) \(P(X=0) = P(\text{first throw is PS}) = \frac{7}{36}\)…
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