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 He removes a marble at random, records the color, puts it back, and then repeats this process until he has withdrawn 6 marbles.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.

Guest Dec 10, 2017

The probability is given by


C (6,3) * (.7)^3 * (.3)^3   =  .1852



cool cool cool

CPhill  Dec 10, 2017

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

JacobBernoulli  Dec 12, 2017

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