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probability - boxes problem

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Two boxes of light bulbs are in a warehouse. Box 1 contains 95 good bulbs and 5 defective bulbs, while Box 2 contains 90 good and 10 defective bulbs. We choose one of these boxes at random and test 3 bulbs chosen at random from this box, without replacement. If all 3 bulbs are defective, what is the probability that we selected Box 1?

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This solution shows how to calculate the probability of an outcome.

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