Two unbiased dice are rolled. Find the probability of getting a sum greater than 7, but the numbers on the dice are not the same.

1/3
1/2
5/18
5/12

Correct answer: 1/3

Solution

For sums greater than 7, the favorable outcomes are those with sums 8 to 12. Excluding doubles leaves 12 favorable outcomes out of 36 total outcomes. So the probability is 12/36 = 1/3.

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