Urn A has 5 white and 7 black balls. Urn B has3 white and

Chapter 3, Problem 3.38

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Urn A has 5 white and 7 black balls. Urn B has3 white and 12 black balls. We flip a fair coin. Ifthe outcome is heads, then a ball from urn A isselected, whereas if the outcome is tails, then a ballfrom urn B is selected. Suppose that a white ballis selected. What is the probability that the coinlanded tails?

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