Maths Olympiad Prep

Library / /92 of 387

, 2004

Combinatorics Difficulty 1.0 Junior Find the answer Canada

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) 14\frac{1}{4} (B) 736\frac{7}{36} (C) 536\frac{5}{36} (D) 13\frac{1}{3} (E) 29\frac{2}{9}

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Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.