Maths Olympiad Prep

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Problem 39

Combinatorics Difficulty 1.1 Multiple choice CEMC Gauss (Grade 8) · Canada · 2017

A pentagon is divided into 5 equal sections, as shown.

An arrow is attached to the centre of the pentagon. The arrow is spun once. What is the probability that the arrow stops in the section numbered 4?

Pick one

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Official solution

Michael has 280in280 in 20 bills and so the number of 20billsthathehasis20 bills that he has is 280÷20=14$.280\div20=14\$.

Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.