Multiple choice

What is the probability of getting a sum of exactly 16 when three dice are rolled together?

  1. 1/44

  2. 1/6

  3. 7/216

  4. 1/36

  5. 1/27
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D Correct answer
Explanation

Total outcomes = 6^3 = 216. Sum of 16: (6,6,4) in 3 ways, (6,5,5) in 3 ways. Total ways = 6. Probability = 6/216 = 1/36.

AI explanation

When three dice are rolled, the combinations that yield a sum of exactly 16 are (5, 5, 6), (5, 6, 5), (6, 5, 5), (4, 6, 6), (6, 4, 6), and (6, 6, 4). This gives 6 favorable outcomes out of the 216 total possible outcomes. Therefore, the probability is 6/216, which simplifies to 1/36.

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