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Phil has 7 green marbles and 3 purple marbles in a bag. He removes a marble at random, records the color, puts it back, and then repeats this process until he has withdrawn 6 marbles. What is the probability that exactly three of the marbles that he removes are green? Express your answer as a decimal rounded to the nearest thousandth.

 Dec 10, 2017
 #1
avatar+102422 
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The probability is given by

 

C (6,3) * (.7)^3 * (.3)^3   =  .1852

 

 

cool cool cool

 Dec 10, 2017
 #2
avatar+87 
0

I’m surprised the purple marbles haven’t filed a grievance about the green marbles.   

 Dec 12, 2017

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