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An IRS auditor randomly selects 3 tax returns from 58 returns of which 8 contain errors. What is the probability that she selects none of those containing errors?

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4 answers
  1. (50/58)*(49/57)*(48/56) = 0.635
    63.5%

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  2. number of all possible selections = C(58,3) = 30856
    number of error-less selections = C(50,3) = 19600

    prob to select non-error = 19600/30856 = 4900/7714
    = 350/551

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  3. Go with drwls method, his is more direct.

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  4. find the probability of tossing 5 tails, then 5heads, on the 10 tosses of a fair coin

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