There are 36 possible outcomes when rolling a pair of number cubes. To find the probability of rolling a sum greater than 10 on both rolls, we can start by listing all the outcomes where the sum of the first roll and second roll is greater than 10:
5 + 6 = 11
6 + 5 = 11
6 + 6 = 12
There are 3 ways to get a sum greater than 10. Since we are rolling the pair of number cubes twice, there are a total of 36 x 36 = 1,296 possible outcomes. The probability of rolling a sum greater than 10 on both rolls is therefore 3/1,296, which simplifies to 1/432.