A company that produces fine crystal knows from expe- rience that 10% of its goblets have cosmetic flaws and must be classified as “seconds.” Among six randomly selected goblets, how likely is it that only one is a second? Among six randomly selected goblets, what is the probability that at least two are seconds? If goblets are examined one by one, what is the prob- ability that at most five must be selected to find four that are not seconds?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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A company that produces fine crystal knows from expe- rience that 10% of its goblets have cosmetic flaws and must be classified as “seconds.”

  1. Among six randomly selected goblets, how likely is

    it that only one is a second?

  2. Among six randomly selected goblets, what is the

    probability that at least two are seconds?

  3. If goblets are examined one by one, what is the prob- ability that at most five must be selected to find four

    that are not seconds?

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