Multiple choice

Three dice are rolled simultaneously. What is the probability of getting a sum more than 15?

  1. 5/108

  2. 6/216

  3. 7/216

  4. 2/108

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A Correct answer
Explanation

Total outcomes for 3 dice = 216. Sum > 15 means sums of 16, 17, 18. Sum 18: (6,6,6) - 1 way. Sum 17: (6,6,5), (6,5,6), (5,6,6) - 3 ways. Sum 16: (6,6,4)x3, (6,5,5)x3, (5,5,6)x1 - 6 ways. Total favorable = 1 + 3 + 6 = 10. Probability = 10/216 = 5/108.