Maths Olympiad Prep

Library / /63 of 475

, 2009

Combinatorics Difficulty 1.0 Junior Find the answer Canada

Alice rolls a standard 6-sided die. Bob rolls a second standard 6-sided die. Alice wins if the values shown differ by 1. What is the probability that Alice wins?

(A) 13\frac{1}{3} (B) 29\frac{2}{9} (C) 518\frac{5}{18} (D) 16\frac{1}{6} (E) 536\frac{5}{36}

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.