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Problem 95

Combinatorics Difficulty 1.2 Multiple choice CEMC Gauss (Grade 7) · Canada · 2018

An envelope contains 2 sunflower seeds, 3 green bean seeds, and 4 pumpkin seeds. Carrie randomly chooses one of the seeds from the envelope. What is the probability that Carrie chooses a sunflower seed?

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Official solution

Exactly 2 of the 2+3+4=92+3+4=9 seeds are sunflower seeds.

Therefore, the probability that Carrie chooses a sunflower seed is 29\frac{2}{9}.

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