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Problem 73

Combinatorics Difficulty 1.0 Find the answer CEMC Cayley · Canada · 2004

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?

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

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