An urn contains two type a coins and one type b coin. When a type a coin is flipped, it comes up heads with probability 1/4, whereas when a type b coin is flipped, it comes up heads with probability 3/4. A coin is randomly chosen from the urn and flipped. Given that the flip landed on heads, what is the probability that it was a type a coin?
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probability of type a coin is 1/4
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