# Another Sweet Problem

**Discrete Mathematics**Level 4

1) Bob chooses a wrapper from the box randomly one by one (assuming he can't differentiate between full and empty wrappers by touching).

2) If the wrapper contains a candy, bob eats it and puts the wrapper back in the box.

3) If wrapper is empty and there are any candies remaining, Alice wins.

4) If bob eats all the 9 candies without getting a single empty wrapper, Bob wins.

Now, suppose p/q is the chance of bob winning the game (q and p are co-prime), submit your answer as p + q.

You may want to use a fraction calculator.