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Math Help - Probability and TRANSFORMERS! yikes...

  1. #1
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    Probability and TRANSFORMERS! yikes...

    ok so i got this weird question about transformers. its multiple choice but I cant seem to narrow down which of the two options it is. Note the answers are in Combination (C)

    "In a shipment of 60 transformers, 15 are know to be defective. If 40 transformers are picked at random, what is the probability that all 40 are non-defective?"

    A - C(40,40)/C(60,40)
    B - C(45,40)/C(60,40)
    C - C(40,40)/C(50,40)
    D - C(45,25)/C(60,40)
    E - None of the above

    I am thinking its either A or B but I am not sure. Any help would be great. Thanks alot!
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by IWasJustinYou View Post
    ok so i got this weird question about transformers. its multiple choice but I cant seem to narrow down which of the two options it is. Note the answers are in Combination (C)

    "In a shipment of 60 transformers, 15 are know to be defective. If 40 transformers are picked at random, what is the probability that all 40 are non-defective?"

    A - C(40,40)/C(60,40)
    B - C(45,40)/C(60,40)
    C - C(40,40)/C(50,40)
    D - C(45,25)/C(60,40)
    E - None of the above

    I am thinking its either A or B but I am not sure. Any help would be great. Thanks alot!
    The probability you seek is:

    P=(45!/5!)/(60!/20!)

    which is the same as B

    RonL
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  3. #3
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    thanks alot! i really appreciated that
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