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Two perfect dice are thrown. What C is the probability that the sum of the numbers on the faces is neither 9 nor 10?

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NDA-II 2024 (Maths) Official Paper (Held On: 01 Sept, 2024)
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  1. 1/36
  2. 5/36
  3. 7/36
  4. 29/36

Answer (Detailed Solution Below)

Option 4 : 29/36
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Detailed Solution

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Explanation:

⇒n(S) = 6 × 6 = 36

⇒Sum 9 = (3, 6), (4, 5), (5, 4), (6, 3)

⇒ Sum 10 = (4, 6), (5, 5), (6, 4)

⇒P (sum 9 or 10) = 7/36

Then, P (sum neither 9 nor 10) = 

∴ Option (d) is correct

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