Maths Olympiad Prep

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Problem 71

Combinatorics Difficulty 1.2 Multiple choice CEMC Gauss (Grade 8) · Canada · 2018

Evgeny has 3 roses, 2 tulips, 4 daisies, and 6 lilies. If he randomly chooses one of these flowers, what is the probability that it is a tulip?

Pick one

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Official solution

The cost of nine 1itemsandfive1 items and five 2 items is (9×$1)+(5×$2)(9\times\$1)+(5\times\$2), which is $9+$10\$9+\$10 or $19.

The correct answer is (C).

(We may check that each of the remaining four answers gives a cost that is less than $18.)

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