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Using Bayes Theorem: Box 1 contains 5 red balls and 1 black ball; box B contains 2 red balls and 3 black balls. A box

Using Bayes Theorem:

Box 1 contains 5 red balls and 1 black ball; box B contains 2 red balls and 3 black balls. A box is chosen and a ball is selected from it. The probability of choosing box 1 is 37.5%. If the selected ball is black, what is the probability that it came from box 1?

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