MY NOTES
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.) $P$ (eight or ten)

Step 1 ：The problem is asking for the probability of rolling a pair of dice and getting a sum of either eight or ten.

Step 2 ：To solve this, we need to know the total number of outcomes when rolling two dice and the number of outcomes that result in a sum of eight or ten.

Step 3 ：The total number of outcomes when rolling two dice is \(6 \times 6 = 36\) since each die has 6 faces.

Step 4 ：The outcomes that result in a sum of eight are: (2,6), (3,5), (4,4), (5,3), (6,2). So there are 5 outcomes.

Step 5 ：The outcomes that result in a sum of ten are: (4,6), (5,5), (6,4). So there are 3 outcomes.

Step 6 ：So the total number of favorable outcomes is \(5 + 3 = 8\).

Step 7 ：The probability is then the number of favorable outcomes divided by the total number of outcomes.

Step 8 ：Final Answer: The probability of rolling a pair of dice and getting a sum of either eight or ten is \(\boxed{\frac{2}{9}}\).