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

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7. There are three coins in a box. One is a two-headed coin, another is a fair coin, and the
third is a biased coin that comes up heads 75 percent of the time. When one of the three
coins is selected at random and flipped, it shows heads. What is the probability that it was
the two-headed coin?
Transcribed Image Text:7. There are three coins in a box. One is a two-headed coin, another is a fair coin, and the third is a biased coin that comes up heads 75 percent of the time. When one of the three coins is selected at random and flipped, it shows heads. What is the probability that it was the two-headed coin?
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