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Problem 205

Combinatorics Difficulty 1.3 Multiple choice CEMC Gauss (Grade 7) · Canada · 2023

An integer is randomly chosen from the list 10, 11, 12, 13, 14,
15, 16, 17, 18, 19. What is the probability that the chosen integer is
even?

Pick one

Official solution

The number of integers in the list is 10. Of these integers, 5
are even (they are 10, 12, 14, 16, and 18). Thus, the probability that
the chosen integer is even is $\dfrac{5}{10}$ .

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