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There are three coins identical in appearance, one of which is ideal and the other two biased with probability 3/4 and 2/3 respectively for a

There are three coins identical in appearance, one of which is ideal and the other two biased with probability 3/4 and 2/3 respectively for a head. One coin is taken at random and tossed three times. If a head appears three times then find the probability that the ideal coin was chosen

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