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Two identical urns contain balls. One of the urns has 6 red balls and 3 blue balls. The other urn has 5 red balls and

Two identical urns contain balls. One of the urns has 6 red balls and 3 blue balls. The other urn has 5 red balls and 8 blue balls. An urn is chosen at random and two balls are drawn at random from this urn, without replacement.

a. What is the probability that both balls are red?

b. What is the probability that the second ball is red, given that the first ball is red?

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