What is the theoretical probability of rolling a sum of 10 on one roll of two standard number cubes?
To find the theoretical probability, we need to first determine the number of favorable outcomes (rolling a sum of 10) and the number of possible outcomes (all the possible sums we can get when rolling two number cubes).
The possible outcomes when rolling two number cubes range from 2 to 12. To find the favorable outcomes (rolling a sum of 10), we need to determine the number of ways we can get a sum of 10.
We can get a sum of 10 in three ways: (4, 6), (5, 5), and (6, 4).
Therefore, there are 3 favorable outcomes out of the 11 possible outcomes (2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12).
The theoretical probability of rolling a sum of 10 on one roll of two standard number cubes is therefore 3/11 or about 0.27 (rounded to two decimal places).