Final answer:
The probability of rolling a sum less than or equal to 8 with two six-sided dice is 7/12 or approximately 0.5833.
Step-by-step explanation:
To find the probability of rolling a sum less than or equal to 8 with two six-sided dice, we need to determine the number of favorable outcomes and the total number of possible outcomes. The favorable outcomes are the combinations of numbers on the dice that sum to 8 or less. We can calculate this by listing the outcomes: (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). There are a total of 21 favorable outcomes. The total number of possible outcomes is 6 * 6 = 36. Therefore, the probability of rolling a sum less than or equal to 8 is 21/36, which can be simplified as 7/12 or approximately 0.5833.