CAYLEY 2004 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?

Answer Choices
A. \frac14
B. \frac{7}{36}
C. \frac{5}{36}
D. \frac13
E. \frac29