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32. In Seattle during December, the probability of rain on a given day is 0.45. On a day on which it rains, the probability Kurt

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32. In Seattle during December, the probability of rain on a given day is 0.45. On a day on which it rains, the probability Kurt takes his umbrella is 0.75, and on a day on which it does not rain, the probability Kurt takes his umbrella is 0.2. On a randomly selected day in December, given that Kurt has taken his umbrella, what is the probability it rains? Round your answer to three decimal places

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