A and B throw a pair of die turn by turn. The first to throw 9 is awarded a prize. If A starts the game, show that the probability of A getting the prize is `9/17`

Explanation

To solve the problem, we need to determine the probability that player A wins the prize by being the first to throw a total of 9 with a pair of dice. Let's break it down step by step.

### Step 1: Determine the probability of throwing a total of 9
When rolling two dice, we need to find the combinations that yield a sum of 9. The possible combinations are:
- (3, 6)
- (4, 5)
- (5, 4)
- (6, 3)
...