We are playing a game where we start at 0 and flip a coin until someone wins. Every heads that is flipped adds +1 to the number and every tails add -1. If the number reaches -10 I (the interviewer) wins and if it reaches 20 then you win. What is the probability I will win? I am thinking of a 10 digit number. The first digit is the number of 0s in the number, the 2nd is the number of 1s etc...What is the number?