Question: There are three coins in a box. One is a two-headed coin, another is a fair coin, and the third coin is a biased coin

There are three coins in a box. One is a two-headed coin, another is a fair coin, and the third coin is a biased coin that comes up heads 75% of the time. (a) If a coin is randomly selected, what is the probability that it comes up tails? (b) When one of the three coins is selected at random and flipped, it shows heads. What is the probability that is was the two-headed coin?

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