A production facility employs 10 workers on the day shift, 8 workers on the swing shift, and 6 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 24). A) How many selections result in all 5 workers coming from the day shift?
What is the probability that all 5 selected workers will be from the day shift?
B) What is the probability that all 5 selected workers will be from the same shift?
C) What is the probability that at least two different shifts will be represented among the selected workers?