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.

Algebra.Com
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)   (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

RELATED QUESTIONS

a shipment of 9 printers contains 4 that are defective. find the probability that a... (answered by KMST)
A shipment of 10 printers contains 4 that are defective. Find the probability that a... (answered by math_tutor2020)
a shipment of 9 printers contains 4 that are defective. Find the probability that a... (answered by richard1234)
A shipment of 11 printers contains 2 that are defective. Find the probability that a... (answered by stanbon)
A shipment of 10 printers contains 2 that are defective. Find the probability that a... (answered by ikleyn)
A shipment of 9 typewriters contains 3 that are defective.Find the probability that a... (answered by stanbon)
A shipment of 8 computers contains 3 with defects. Find the probability that with a... (answered by ewatrrr)
1. If you dealt 4 cards from shuffled deck of 52 cards, Find the probability that all 4... (answered by benplaksa)
A batch of 10 gaskets contains 4 defective gaskets. If we draw samples of size 3 without... (answered by Fombitz)