Maths Olympiad Prep

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Problem 25

Combinatorics Difficulty 1.0 Find the answer CEMC Gauss (Grade 7) · Canada · 2011

In Braydon's cafeteria, the meats available are beef and chicken. The fruits available are apple, pear and banana. Braydon is randomly given a lunch with one meat and one fruit. What is the probability that the lunch will include a banana?

(A) 13\frac{1}{3} (B) 23\frac{2}{3} (C) 12\frac{1}{2} (D) 15\frac{1}{5} (E) 35\frac{3}{5}

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