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CUET · MATHS · PYQ PAPER 2025

A black and a red die are rolled simultaneously. The probability of obtaining a sum greater than \(9\) , given that the black resulted in a \(5\) is:

  1. A \(1/2\)
  2. B \(1\)
  3. C \(2 / 3\)
  4. D \(1 / 3\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(1 / 3\)

Step-by-step Solution

Detailed explanation

\( P(B+R > 9 \mid B=5) \) \( P(5+R > 9 \mid B=5) \Rightarrow P(R > 4 \mid B=5) \) Possible outcomes for R when B=5: \(\{1, 2, 3, 4, 5, 6\}\) Favorable outcomes for R (>4): \(\{5, 6\}\)…