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Problem 45

Combinatorics Difficulty 1.0 Find the answer CEMC Pascal · Canada · 2009

Alice rolls a standard 6-sided die. Bob rolls a second standard 6-sided die. Alice wins if the values shown differ by 1. What is the probability that Alice wins?

(A) $\frac{1}{3}$ (B) $\frac{2}{9}$ (C) $\frac{5}{18}$ (D) $\frac{1}{6}$ (E) $\frac{5}{36}$

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