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 likely as any other, find the probability that the sum of the dots is 5 .
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What is the probability of getting a sum of 5 ?
(Simplify your answer. Type a fraction.)
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Step 1 ：The sample space of rolling two dice is all the possible outcomes of rolling two dice. There are 6 faces on a die, so there are \(6 \times 6 = 36\) possible outcomes when rolling two dice.

Step 2 ：To find the probability of getting a sum of 5, we need to find all the outcomes in the sample space that sum to 5. These are (1,4), (2,3), (3,2), (4,1). So there are 4 outcomes that sum to 5.

Step 3 ：The probability of an event is the number of favorable outcomes divided by the total number of outcomes. So the probability of getting a sum of 5 when rolling two dice is \(\frac{4}{36} = \frac{1}{9}\).

Step 4 ：Final Answer: The probability of getting a sum of 5 when rolling two dice is \(\boxed{\frac{1}{9}}\).