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A bag contains five white balls and four black balls. Your goal is to draw two black balls.

You draw two balls at random. Once you have drawn two balls, you put back any white balls, and redraw so that you again have two drawn balls. What is the probability that you now have two black balls? (Include the probability that you chose two black balls on the first draw.)

 

14/27 and 89/216 are sadly wrong...

 May 22, 2020
 #1
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The probability is 43/180.

 May 23, 2020
 #2
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A bag contains five white balls and four black balls. Your goal is to draw two black balls....

 

 May 23, 2020

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