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Numerade Educator

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Problem 21 Easy Difficulty

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?

Answer

$\frac{1}{10}$

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Top Algebra Educators
GH
Grace H.

Numerade Educator

Heather Z.

Oregon State University

Caleb E.

Baylor University

Kristen K.

University of Michigan - Ann Arbor

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.

University of Louisville
Top Algebra Educators
GH
Grace H.

Numerade Educator

Heather Z.

Oregon State University

Caleb E.

Baylor University

Kristen K.

University of Michigan - Ann Arbor