AMC 8 2009 Problem 13

A three-digit integer contains one of each of the digits $1$, $3$, and $5$. What is the probability that the integer is divisible by $5$? $\textbf{(A)}\ \frac{1}{6} \textbf{(B)}\ \frac{1}{3} \textbf{(C)}\ \frac{1}{2} \textbf{(D)}\ \frac{2}{3} \textbf{(E)}\ \frac{5}{6}$