An experiment consists of rolling two fair dice and adding the dots on the two sides facing up. Using the sample space provided below and assuming each simple event is as Ikely as any other, find the probability that the sum of the dots is 8 Click the icon to view the sample space. What is the probability of getting a sum of 8 ? $\square$ (Simplify your answer. Type a fraction.) (C) Time Remaining: 02:35.45 Next

Step 1 ：The sample space for rolling two dice is all the possible outcomes of rolling two dice. Each die has 6 faces, so there are \(6 \times 6 = 36\) possible outcomes.

Step 2 ：To find the probability of getting a sum of 8, we need to find all the outcomes that sum to 8 and divide by the total number of outcomes.

Step 3 ：The pairs that sum to 8 are (2,6), (3,5), (4,4), (5,3), and (6,2). So there are 5 outcomes that sum to 8.

Step 4 ：Therefore, the probability of getting a sum of 8 is \(\frac{5}{36}\).

Step 5 ：Final Answer: The probability of getting a sum of 8 when rolling two dice is \(\boxed{\frac{5}{36}}\).