2000 Fermat Problem 16

The digits 2, 2, 3, and 5 are randomly arranged to form a four digit number. What is the probability that the sum of the first and last digits is even?

\textbf{(A)}\ \frac{1}{4}\quad \textbf{(B)}\ \frac{1}{3}\quad \textbf{(C)}\ \frac{1}{6}\quad \textbf{(D)}\ \frac{1}{2}\quad \textbf{(E)}\ \frac{2}{3}

If there are no answer choices shown, enter a numerical answer.

Full credit to this problem is given to the CEMC, you may view all Fermat contests here.