AMC 8 2009 Problem 10

On a checkerboard composed of 64 unit squares, what is the probability that a randomly chosen unit square does not touch the outer edge of the board?

$\textbf{(A)}\ \frac{1}{16} \textbf{(B)}\ \frac{7}{16} \textbf{(C)}\ \frac{1}2 \textbf{(D)}\ \frac{9}{16} \textbf{(E)}\ \frac{49}{64}$