Gambler's ruin problem II

A gambler begins with an initial fortune of $i$ dollars. Each time he plays, he has the possibility of winning $1$ dollar with a probability of $p$ (where $0 < p < 1$) or losing $1$ dollar with a probability of $q = 1 - p$. The gambler will only stop playing if he either accumulates $N$ dollars or loses all of his money. What is the likelihood that he will end up with $N$ dollars? Compute for $p = 1/3$, $i=7$ and $N=10$