A man goes to the 'Betting Games' with Rs. 5 (Rs. denotes the Indian currency). The rules of the games are pretty simple. He does not need to pay anything to start a game, but if he wins it, he gets Rs.1, and if he loses he has to give Rs. 1. Also, he can play as many games as he wants unless he does not have any money left with him. If the chances of his winning and losing a particular game are the same and if the probability that he can leave the place with some non-zero amount is a/b, then find (a+b).