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You are lost on the Mythy Island in the summer, when tourists are two-thirds of the population. If you ask a tourist for direction the answer is correct with probability ¾; answers to repeated questions are independent even if the question is the same. If you ask a local for directions, the answer is always false.

a. You ask a passer-by whether Mythy City is East or West. The answer is East. What is the probability that it is correct?

b. You ask her again, and get the same reply. What is the probability that it is correct?

c. You ask her one more time, and the answer is East again. What is the probability that it is correct?

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