Probability that at least one of shifts is unrepresented

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A production facility employs 20 workers on the day shift, 15 workers on the swing shift, and 10 workers on the graveyard shift. A quality control consultant is to select 6 of these workers for in-depth interviews. Suppose the selection is made in such a way that any particular group of 6 workers has the same chance of being selected as does any other group (drawing 6 slips without replacement from among 45). What is the probability that at least one of the shifts will be unrepresented in that sample of workers?

Reference no: EM13131048

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