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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.)

 Mar 31, 2020
 #1
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I recommend that you use organized casework to find your answer. For instance, find the probability that you chose two black balls on the first draw, that you chose one black ball and one white ball, and that you chose two white balls.

 Apr 1, 2020

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