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Three marbles are randomly selected, without replacement, from a bag containing two red, three blue and four green marbles. What is the probability that one marble of each color is selected? Express your answer as a common fraction.

 Oct 17, 2021
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Answer:1/21

 

We have 2r, 3b, and 4g, marbles(r,b, and g, standing for red, blue, and green.)

 

The chance that we get a red marble first is 2/9 since the total amount of marbles is 9.

After getting our first marble we now have only 8 left so the chance that we draw a blue marble would be 3/8.

And the chance that we draw a green marble is now 4/7.

 

To find the probability of drawing all these marbles we have to multiply them by each other:

2/9*3/8*4/7=1/21

 

And drawing these marbles in a different order, for example, green, red then blue still gives:

4/9*2/8*3/7=1/21

 Oct 17, 2021

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