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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 not include red?

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##### Kristen K.

University of Michigan - Ann Arbor

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All right, so we want to know the probability that we're not gonna get rid. This is a small situation. So if you think about it, you could really just write out your choices. And so these are the five pillars we have. And so our options are gonna be then, that we have pink, orange and red, pink, orange and white, Pink, orange and yellow. Pink, red and white, Pink, red and yellow. Um, pink, white and yellow. Um, we can have orange, red and white, orange, red and yellow, orange, white and yellow. Um And then finally, red, White and you. Now, if you noticed there's the 10 choices that we've been talking about last couple of questions here, a Sfar as the 10 point. Now it says, What's the chances that I picked one that doesn't have red and it will. That's got red. That's got red, red, red, red. So taking those away there is a four in 10 chance for two and five chance that the one I picked doesn't never end

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##### Kristen K.

University of Michigan - Ann Arbor