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 find the probability of A winning the prize when A and B take turns throwing a pair of dice, we can follow these steps:

### Step 1: Calculate the probability of rolling a sum of 9 with two dice.
When rolling two dice, the possible outcomes that result in a sum of 9 are:
- (3, 6)
- (4, 5)
- (5, 4)
- (6, 3)
...