(Answered) Question a box has three coins one has two heads one has

Statistics

Question: A box has three coins. One has two heads, one has two tails, and the other is a fair coin with one head and one tail. A coin is chosen at random, is flipped, and comes up heads.

a. What is the probability that the coin chosen is the two-headed coin?

b. What is the probability that if it is thrown another time it will come up heads?

c. Answer part (a) again, supposing that the coin is thrown a second time and comes up heads again.

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