Multiple choice

Two dice are thrown simultaneously. Find the probability of getting a sum of two numbers greater than 6.

  1. 3/4

  2. 23/36

  3. 5/12

  4. 7/12

  5. 11/36
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D Correct answer
Explanation

Total outcomes = 36. Sum > 6: (1,6), (2,5), (2,6), (3,4), (3,5), (3,6), (4,3), (4,4), (4,5), (4,6), (5,2), (5,3), (5,4), (5,5), (5,6), (6,1), (6,2), (6,3), (6,4), (6,5), (6,6). Total = 21 outcomes. Probability = 21/36 = 7/12.

AI explanation

When two dice are thrown, there are 36 possible outcomes, and 21 of these yield a sum greater than 6. The favorable sums of 7, 8, 9, 10, 11 and 12 have 6, 5, 4, 3, 2 and 1 combinations respectively, adding up to 21. The probability is therefore 21/36, which simplifies to 7/12.

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