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A die is rolled twice. What is the probability sum is greater than 9?
  1. 1/4
  2. 1/5
  3. 1/6
  4. None of these
Explanation

When a die is rolled twice, total outcomes = 6 × 6 = 36

We need sum > 9, so sums 10, 11, 12

Sum 10: (4,6), (5,5), (6,4) → 3 ways  

Sum 11: (5,6), (6,5) → 2 ways  

Sum 12: (6,6) → 1 way  

Total favorable outcomes = 3 + 2 + 1 = 6

Probability = favorable / total = 6/36 = 1/6.


Last verified on 10-06-2026

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