Question: A cheese company has two processing plants, which we will call A and B. Plant A makes 25% of the cheese, and Plant B makes

A cheese company has two processing plants, which we will call A and B. Plant A makes 25% of the cheese, and Plant B makes 75% of the cheese. Of the cheese Plant A makes, 80% is swiss, and 20% is provolone, and of the cheese Plant B makes, 40% is swiss, and 60% is provolone. A customer just bought a package of provolone cheese. What is the probability it was made in Plant B

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