Two dice are rolled together. The probability of getting the sum of the two numbers to be more than 10 , is

Explanation

The probability of getting the sum of the two numbers to be more than 10 can be calculated by finding the total number of outcomes where the sum is more than 10 and dividing it by the total number of possible outcomes. The total number of outcomes where the sum is more than 10 is 3 (11, 12, 10) and the total number of possible outcomes is 36. So, the probability is 3/36 = 1/12, but this is the probability of getting a sum of 10 or 11. The probability of getting a sum of 12 is 1/36. So, the probability of getting a sum of 10 or 11 or 12 is 3/36 + 1/36 = 4/36 = 1/9. However, the question asks for the probability of getting a sum of more than 10, which includes 11 and 12. So, the probability is 1/9 + 1/36 = 4/36 + 1/36 = 5/36. But we can also calculate the probability of getting a sum of 10 or less and subtract it from 1. The probability of getting a sum of 10 or less is 3/6 * 6/6 = 3/6 = 1/2. So, the probability of getting a sum of more than 10 is 1 - 1/2 = 1/2. However, this is not the correct answer. The correct answer can be found by listing all the possible outcomes and finding the probability of getting a sum of more than 10. The total number of outcomes where the sum is more than 10 is 15 (11, 12, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 12, 11, 10). So, the probability is 15/36 = 5/12.

Two dice are rolled together. The probability of getting the sum of the two numbers to be more than 10 , is

Explanation

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