Maths Olympiad Prep

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Problem 33

Combinatorics Difficulty 1.0 Find the answer CEMC Gauss (Grade 7) · Canada · 2004

A box contains 1 grey ball, 2 white balls and 3 black balls. Without looking, John reaches in and chooses one ball at random. What is the probability that the ball is not grey?

(A) 11 (B) 26\dfrac{2}{6} (C) 36\dfrac{3}{6} (D) 46\dfrac{4}{6} (E) 56\dfrac{5}{6}

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