1. A small manufacturing company employs 12 workers on the day shift, 10 workers on the swing shift, and 8 workers on the graveyard shift. A group of 6 employees is to be selected to participate in a job safety training exercise. Assume that the selection is made in such a way that every possible group of 6 workers has the same chance of being selected.
a) What is the probability the 6 selected workers will contain 2 workers from each shift?
b) What is the probability the 6 selected workers will include exactly 3 from the day shift and exactly 2 from the swing shift?
c) What is the probability that all 6 selected workers will be from the day shift?
d) What is the probability that all 6 selected workers will be from the same shift?
e) What is the probability that at least two different shifts will be represented among the selected workers? There is a hard way and an easy way to solve this part. Think about other ways to describe this event
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