A standard pair of six-sided dice is rolled. What is the probability of rolling a sum greater than 10

There are a total of 36 possible outcomes when rolling two six-sided dice (6 outcomes for the first die and 6 outcomes for the second die).

Out of these 36 outcomes, there are 3 outcomes where the sum is greater than 10: (5,6), (6,5), and (6,6).

Therefore, the probability of rolling a sum greater than 10 is 3/36 = 1/12 = 0.0833 (rounded to four decimal places).