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 tails 25 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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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 tails 25 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: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 tails 25 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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