SOLUTION: A shipment of 9 printers contains 4 that are defective. Find the probability that a sample of size 3​, drawn from the​ 9, will not contain a defective printer.

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Question 1083436: A shipment of 9 printers contains 4 that are defective. Find the probability that a sample of size 3​, drawn from the​ 9, will not contain a defective printer.
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Number of samples of size 3 from 9 is 9C3=84, and that is the denominator.
the numerator is 5C3=10/84, because there are 10 ways 5 non-defective printers may be chosen in a sample of 3.
10/84=5/42
probability printers are not defective is 5/9*4/8*3/7 for the first three, because the sample space changes. (60/504), which is 10/84=5/42