What is the theoretical probability of rolling a sum of 10 in one roll of two standard number cubes?

There are a total of 36 possible outcomes when rolling two standard number cubes. To find the probability of rolling a sum of 10, we need to count the number of outcomes that result in a sum of 10.

The possible outcomes that result in a sum of 10 are:
(4,6) , (5,5) , (6,4)

So, there are 3 outcomes that result in a sum of 10.

The theoretical probability of rolling a sum of 10 in one roll of two standard number cubes is:
Number of favorable outcomes / Total number of possible outcomes
= 3 / 36
= 1 / 12

Therefore, the theoretical probability of rolling a sum of 10 in one roll of two standard number cubes is 1/12.