Biased Gambler's Ruin Probability

A gambler starts with $\$3$ and plays a sequence of independent rounds. Each round she wins $\$1$ with probability $p = 0.4$ and loses $\$1$ with probability $q = 0.6$. She stops when her fortune reaches $\$0$ (ruin) or $\$8$. What is the probability that she is ruined?