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During the month of May the probability of a rainy day is 0.4. Suppose the Expos win on a clear day with probability 0.7 and

During the month of May the probability of a rainy day is 0.4. Suppose the Expos win on a clear day with probability 0.7 and on a rainy day with probability 0.2. If we know that they lost on a certain day in May, what is the probability that is was a rainy day?

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