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

 

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

 Apr 15, 2023
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There are \(\pmatrix{8 \\ 2}=28\) ways to pick two balls simultaneously. 3 of them have both balls white. So, \(\frac{3}{28}\) is the probability. Given that information, try to figure out the second one on your own.

 May 2, 2023

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