### Instruction: Two fair 6-sided dice are rolled.  What is the probability the sum rolled is 9?### Response: To find the probability of an event, I need to divide the number of favorable outcomes by the number of possible outcomes.
In this case, the possible outcomes are all the ways of rolling two dice, which are 6 times 6, or 36.
The favorable outcomes are the ways of rolling a 9, which are (3, 6), (4, 5), (5, 4), and (6, 3).
There are four favorable outcomes, so the probability is 4/36, which simplifies to 1/9.