What is the posterior probability that the mother is a current smoker if the child has asthma?

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What is the posterior probability that the mother is a current smoker if the child has asthma? 


Suppose, alternatively, that if the father is a current smoker, then the probability that the mother is a current smoker is .6; whereas if the father is not a current smoker, then the probability that the mother is a current smoker is .2. Also assume that statements 1, 2, 3, and 4 above hold.

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