2004 Cayley Problem 16

In a dice game, a player rolls two dice. His score is the larger of the two numbers on the dice. For example, if he rolls 3 and 5, his score is 5, and if he rolls 4 and 4, his score is 4. What is the probability that his score is 3 or less?

\textbf{(A)}\ \frac{1}{4}\quad \textbf{(B)}\ \frac{7}{36}\quad \textbf{(C)}\ \frac{5}{36}\quad \textbf{(D)}\ \frac{1}{3}\quad \textbf{(E)}\ \frac{2}{9}

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 Cayley contests here.