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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?
Pick one
A 2 9 \frac{2}{9} 9 2 B 5 9 \frac{5}{9} 9 5 C 9 7 \frac{9}{7} 7 9 D 7 9 \frac{7}{9} 9 7 E 1 9 \frac{1}{9} 9 1
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Official solution Exactly 2 of the 2 + 3 + 4 = 9 2+3+4=9 2 + 3 + 4 = 9 seeds are sunflower seeds.
Therefore, the probability that Carrie chooses a sunflower seed is 2 9 \frac{2}{9} 9 2 .
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Source: CEMC, University of Waterloo ,
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