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2. Two urns contain white and black balls: Urn 1 contains 10 black balls and 5 white balls, Urn 2 contains 8 black balls

2. Two urns contain white and black balls: Urn 1 contains 10 black balls and 5 white balls, Urn 2 contains 8 black balls and 2 white balls. Two balls are drawn randomly from urn 1, and these two balls are then placed in urn 2. Then, two balls are drawn randomly from urn 2. a. What is the probability that both balls drawn from urn 2 are white? b. What is the probability that both balls drawn from urn 1 were white if both balls drawn from urn 2 are white?

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