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 seven)

Step 1 ：The question is asking for the probability of rolling a pair of dice and getting a sum of either two or seven.

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

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 two are: (1,1). So there is 1 outcome that results in a sum of two.

Step 5 ：The outcomes that result in a sum of seven are: (1,6), (2,5), (3,4), (4,3), (5,2), (6,1). So there are 6 outcomes that result in a sum of seven.

Step 6 ：So the probability of getting a sum of two or seven is the number of favorable outcomes divided by the total number of outcomes.

Step 7 ：\(\text{total outcomes} = 36\)

Step 8 ：\(\text{favorable outcomes} = 7\)

Step 9 ：\(\text{probability} = \frac{\text{favorable outcomes}}{\text{total outcomes}} = \frac{7}{36}\)

Step 10 ：Final Answer: The probability of rolling a pair of dice and getting a sum of either two or seven is \(\boxed{\frac{7}{36}}\).