Maths Olympiad Prep

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, 2011

Combinatorics Difficulty 1.0 Junior Find the answer Canada

You are writing a multiple choice test and on one question you guess and pick an answer at random. If there are five possible choices (A,B,C,D,E), what is the probability that you guessed correctly?

(A) 15\frac{1}{5} (B) 55\frac{5}{5} (C) 45\frac{4}{5} (D) 25\frac{2}{5} (E) 35\frac{3}{5}

Want a route through all this instead of an archive? The track puts 2,604 problems in a working order, from Junior Challenge level to the IMO shortlist.

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.