Another Sweet Problem

Alice just gave bob a box filled with 9 candies. Initially, each of the 9 candies is wrapped. They decided to play the following game,

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.


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