Conditional Probabilityhard
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Three urns contain colored balls. Urn A has 2 red, 2 blue. Urn B has 3 red, 1 blue. Urn C has 1 red, 3 blue. A die is rolled; if 1 or 2, choose Urn A; if 3, choose Urn B; if 4, 5, or 6, choose Urn C. If two balls are drawn with replacement from the chosen urn and both are red, what is the probability that Urn B was chosen?
Three urns contain colored balls. Urn A has 2 red, 2 blue. Urn B has 3 red, 1 blue. Urn C has 1 red, 3 blue. A die is rolled; if 1 or 2, choose Urn A; if 3, choose Urn B; if 4, 5, or 6, choose Urn C. If two balls are drawn with replacement from the chosen urn and both are red, what is the probability that Urn B was chosen?