Multiple choice

What is the probability of getting a sum 10, when two dice are thrown simultaneously?

  1. $\dfrac{1}{12}$
  2. $\dfrac{1}{6}$
  3. $\dfrac{1}{9}$
  4. $\dfrac{1}{8}$
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A Correct answer
Explanation

Total outcomes = 36. Outcomes summing to 10: (4,6), (5,5), (6,4). Total = 3. Probability = 3/36 = 1/12.

AI explanation

When two dice are thrown, the total number of possible outcomes is 6 multiplied by 6, which equals 36. To obtain a sum of 10, the favorable outcomes are (4, 6), (5, 5), and (6, 4), providing exactly 3 favorable combinations. The probability is the number of favorable outcomes divided by the total outcomes, calculated as 3/36, which simplifies to 1/12.