Final answer:
The probability of rolling a sum less than or equal to 10 with a pair of six-sided dice is 7/12 or approximately 58.33%.
Step-by-step explanation:
To find the probability of rolling a sum less than or equal to 10 with a pair of six-sided dice, we need to determine the number of favorable outcomes and divide it by the total number of possible outcomes.
There are 36 possible outcomes when two dice are rolled (6 numbers on the first die multiplied by 6 numbers on the second die).
The favorable outcomes are the combinations that result in a sum less than or equal to 10: (1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (2,1), (2,2), (2,3), (2,4), (2,5), (3,1), (3,2), (3,3), (3,4), (4,1), (4,2), (4,3), (5,1), (5,2), (6,1).
Thus, there are 21 favorable outcomes. The probability of rolling a sum less than or equal to 10 is 21/36 = 7/12, which can also be simplified to approximately 0.5833 or 58.33%.