CSMC 2022 Part A - Question 6, CEMC UWaterloo

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Difficulty: 8

This problem is tagged with csmc, csmc22, highschool.

(Canadian Senior Mathematics Contest 2022, Part A, Question 6, CEMC - UWaterloo)

A bag contains exactly $15$ marbles of which $3$ are red, $5$ are blue, and $7$ are green. The marbles are chosen at random and removed one at a time from the bag until all of the marbles are removed. One colour of marble is the first to have $0$ remaining in the bag. What is the probability that this colour is red?

Answer Submission Note(s)
Type fractional answers as "x/y".

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