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Probabilities

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A box of bolts contntains 8 thick bolts, 5 medium bolts, and 3 thin bolts. A box of nuts contains 6 that fit the thick bolts, 4 that fit the medium bolts, and 2 that fit the thin bolt. One bolt and one nut are chosen at random.

QUESTION: What is the probability that the nut fits the bolt? (Note: the sample space consists of all pairs of nuts and bolts, and each pair is equally likely to be chosen.)

Not sure where to begin. Can I just determine the probability of each bolt to be chosen, and the probability of each nut to be chosen, and multiply the corresponding probabilities together?

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This solution provides a detailed step by step explanation of the given probability problem.

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If you multiply the probabilities like you're suggesting, you'd be finding the probability that a given pair of a nut and a bolt was chosen. This probability wouldn't take into ...

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