Find the probability of scoring a total of more than 7, when two dice are thrown
- $5/12$
- $5/18$
- $5/6$
- $5/24$
Reveal answer
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A
Correct answer
Explanation
When two dice are thrown, there are 36 possible outcomes. The sums greater than 7 are 8, 9, 10, 11, and 12, which occur in 5, 4, 3, 2, and 1 ways respectively, totaling 15 outcomes. The probability is 15/36, which simplifies to 5/12.
AI explanation
When two dice are thrown, the total number of possible outcomes is 36. To get a sum of more than 7, the possible sums are 8, 9, 10, 11, and 12, which have 5, 4, 3, 2, and 1 favorable outcomes respectively, giving a total of 15 favorable combinations. By the classical definition of probability, the probability is the number of favorable outcomes divided by the total outcomes, which is 15/36. Simplifying this fraction results in 5/12.