Compute the probability that the drawn coin is fair

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Suppose that a box contains two coins. one coin is fair and comes up with probability 1/2 and tails with probability 1/2. The second coin comes up heads with probability 2/3 and tails with probability 1/3. suppose that a coin was drawn at random from the box and tossed three times and three heads were observed. Compute the probability that the drawn coin is fair given that all three tosses produced heads.

Reference no: EM132852638

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