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# Use the following information. Three roses are to be placed in a vase. The color choices are red, pink, white, yellow, and orange.What is the probability that 3 roses selected at random will include pink, white, and yellow?

## $\frac{1}{10}$

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##### Heather Z.

Oregon State University

##### Kristen K.

University of Michigan - Ann Arbor

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### Video Transcript

So if we're trying to determine how many chances, what's the chances that the three roses I pick or white, pink and yellow first, remember that this is a combination question of five Choose three. And what that means is that we have five times four times 3/3 times, two times one for a total of 10 possible combinations. Well, since I just want one of each, there's only one way that's gonna happen, regardless of how it's chosen. And so the chance that I get those exact three flowers is gonna be one in 10.

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##### Heather Z.

Oregon State University

##### Kristen K.

University of Michigan - Ann Arbor