Multiple choice

Two dice are rolled together. What is the probability that the sum of the numbers on the upper faces Is 10 ?

  1. $1/10$
  2. $1/4$
  3. $3$
  4. $1/12$
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D Correct answer
Explanation

Total outcomes = 36. Sum of 10: (4,6), (5,5), (6,4). Probability = 3/36 = 1/12.

AI explanation

When two dice are rolled together, the total number of possible outcomes in the sample space is 6 multiplied by 6, or 36. To get a sum of 10 on the upper faces, the favorable combinations are (4, 6), (5, 5), and (6, 4), meaning there are 3 favorable outcomes. The probability is calculated as 3 divided by 36, which simplifies to 1/12.

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