Maths Olympiad Prep

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Combinatorics Difficulty 1.5 Junior Find the answer Canada

A circular spinner is divided into 8 equal sections, as shown.

Figure 0

An arrow is attached to the centre of the spinner. The arrow is spun once. What is the probability that the arrow stops in a section containing a prime number that is odd?

Pick one

Solution

On the spinner given, the prime numbers that are odd are 3,53,5 and 7. Since the spinner is divided into 8 equal sections, the probability that the arrow stops in a section containing a prime number that is odd is 38\frac38.

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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.