A pair of dice is rolled. Find the probability of rolling a) a sum not more than 9 , b) a sum not less than 3 . c) a sum between 5 and 9 (exclusive). a) The probability of rolling a sum not more than 9 is $\frac{5}{6}$. (Type an integer or a simplified fraction.) b) The probability of rolling a sum not less than 3 is (Type an integer or a simplified fraction.)

Step 1 ：There are total 36 possible outcomes when a pair of dice is rolled.

Step 2 ：We need to find the number of outcomes where the sum of numbers on the dice is not more than 9. The favorable outcomes are 30.

Step 3 ：The probability is calculated as the ratio of favorable outcomes to total outcomes, which is approximately 0.8333.

Step 4 ：However, we need to simplify this fraction to its lowest terms. The simplified probability is \(\frac{5}{6}\).

Step 5 ：Final Answer: The probability of rolling a sum not more than 9 is \(\boxed{\frac{5}{6}}\).