Maths Olympiad Prep

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Problem 33

Combinatorics Difficulty 1.0 Find the answer CEMC Gauss (Grade 8) · Canada · 2007

A cube having the digits 1,2,3,4,5,61, 2, 3, 4, 5, 6 on its six faces is tossed. What is the probability that the number on the top face is 55 or 66? (A) 56\frac{5}{6} (B) 15\frac{1}{5} (C) 13\frac{1}{3} (D) 1136\frac{11}{36} (E) 25\frac{2}{5}

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