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, 2004

Combinatorics Difficulty 2.0 Junior Find the answer Canada

A driver approaching a toll booth has exactly two quarters, two dimes and two nickels in his pocket. He reaches into his pocket and randomly selects two of these coins. What is the probability that the coins that he selects will be at least enough to pay the 30-cent toll?

(A) $\frac{3}{5}$ (B) $\frac{2}{5}$ (C) $\frac{1}{3}$ (D) $\frac{3}{10}$ (E) $\frac{2}{3}$

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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.