Suppose that there are two kinds of households, the Careless and the Careful; 99 percent of households

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Suppose that there are two kinds of households, the Careless and the Careful; 99 percent of households are Careful and 1 percent are Careless. In any given year, a home inhabited by a Careless household has a 0.010 probability of being destroyed by fire, and a home occupied by a Careful household has a 0.001 probability of being destroyed by fire. If a home is destroyed by fire, what is the probability that it was occupied by a Careless household?

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