# Discrete Math

A bag contains 5 red marbles, 4 yellow marbles, 3 green marbles, 2 orange marbles and 2 purple marbles. If three marbles are removed, what is the probability that at least one of them is red?

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1. Since there are 5 red marbles and 11 others, then the chance is

11/16 * 10/15 * 9/14 = 33/112 that the first three draws are not red.

So, that leaves 79/112 chance that at least one was red.

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