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by farah6 on November 5th, 2008

farah6

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A box contains 8 thick, 5 medium and 3 thin bolts. Another box contains 6nuts that fit the thick bolts, 4 that fit the medium bolts and 2 that fit the thin bolts. One bolt and nut are chosen at random. What is the probability that the nut fits the bolt?

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Answers. 1 helpful answer below.

  • by Quirkie on November 5th, 2008

    Quirkie

    There are 16 bolts and 12 nuts.
    The number of ways of picking a bolt and a nut is 16*12.

    Number of ways of picking a thick bolt and a thick nut is 8*6
    Number of ways of picking a medium bolt and a medium nut is 5*4
    Number of ways of picking a thin bolt and a thin nut is 3*2

    Total number of ways of picking matching nuts: (8*6+5*4+3*2)

    Probability of a match: (8*6+5*4+3*2)/(16*12)

    A BA engineer made a similar mistake. While replacing the windshield on a passenger jet, he chose bolts that were too narrow. On June 10, 1990 the windshield blew out and so did the pilot. A flight attendant held onto the pilots legs until the plane could land.

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You're reading A box contains 8 thick, 5 medium and 3 thin bolts. Another box contains 6nuts that fit the thick bolts, 4 that fit the medium bolts and 2 that fit the thin bolts. One bolt and nut are chosen at random. What is the probability that the nut fits the bolt?

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