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John has 6 green marbles and 4 purple marbles. He chooses a marble at random, writes down its color, and then puts the marble back. He performs this process 5 times. What is the probability that he chooses exactly two green marbles?

 Feb 25, 2018
 #1
avatar+101870 
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Here's my best effort.......

 

Out of any 5 marbles drawn, 2 need to be green.....and the probability of a green on any draw is 6/10

 

So we have :

 

C(5,2) * (.6)^2 * (.4)^3    =  144/625   =  23.04 %

 

 

cool cool cool

 Feb 26, 2018

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