Use the sample space shown in the figure to find the probability for the experiment of rolling a pair of dice. (Enter the probability as a fraction.) $P$ (two or five) THE 36 WAYS DICE CAN ROLL

Step 1 ：The sample space for rolling a pair of dice is 36, as there are 6 possible outcomes for the first die and 6 possible outcomes for the second die, and \(6 \times 6 = 36\).

Step 2 ：To find the probability of rolling a two or a five, we need to find the number of outcomes in the sample space that result in a sum of two or five.

Step 3 ：A sum of two can only be achieved by rolling a 1 on both dice, which is 1 outcome.

Step 4 ：A sum of five can be achieved by rolling a 1 and a 4, a 2 and a 3, a 3 and a 2, or a 4 and a 1. This is 4 outcomes.

Step 5 ：So, the total number of favorable outcomes is \(1 + 4 = 5\).

Step 6 ：The probability of an event is the number of favorable outcomes divided by the total number of outcomes in the sample space.

Step 7 ：So, the probability of rolling a two or a five is \(\frac{5}{36}\).

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