Maths Olympiad Prep

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, 2009

Combinatorics Difficulty 2.0 Junior Find the answer Canada

A jar contains quarters (worth \$0.25 each), nickels (worth \$0.05 each) and pennies (worth \$0.01 each). The value of the quarters is \$10.00. The value of the nickels is \$10.00. The value of the pennies is \$10.00. If Judith randomly chooses one coin from the jar, what is the probability that it is a quarter?

(A) 2531\frac{25}{31} (B) 131\frac{1}{31} (C) 13\frac{1}{3} (D) 5248\frac{5}{248} (E) 130\frac{1}{30}

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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.