The probability of getting more than 7 when a pair of dice are thrown is
- $\displaystyle \frac{7}{36}$
- $\displaystyle \frac{7}{12}$
- $\displaystyle \frac{5}{12}$
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None of these
Reveal answer
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C
Correct answer
Explanation
Total outcomes = 36. Sum > 7: Sum 8 (5 outcomes), Sum 9 (4), Sum 10 (3), Sum 11 (2), Sum 12 (1). Total = 5+4+3+2+1 = 15. Probability = 15/36 = 5/12.
AI explanation
When a pair of dice is thrown, the total number of possible outcomes is 36. The favorable outcomes for getting a sum more than 7 are (2,6), (3,5), (3,6), (4,4), (4,5), (4,6), (5,3), (5,4), (5,5), (5,6), (6,2), (6,3), (6,4), (6,5) and (6,6), totaling 15 combinations. By the classical probability definition, the required probability is the ratio of favorable outcomes to total outcomes, which is 15/36 or 5/12.