Question 417722: A supplier shipped a lot of six parts to a company. The lot contained three defective parts. Suppose the customer decided to randomly select two parts and test them for defects. How large a sample space is the customer potentially working with? List the sample space. Using the sample space list, determine the probability that the customer will select a sample with exactly one defect.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A supplier shipped a lot of six parts to a company. The lot contained three defective parts. Suppose the customer decided to randomly select two parts and test them for defects.
How large a sample space is the customer potentially working with?
6C2 = 15
List the sample space.
Use A,B,C for defective
Use a,b,c for the not defective
List the 15 pairs
Aa,Ab,Ac
Ba,Bb,Bc
Ca,Cb,Cc
AA,AB,AC
aa,bb,cc
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Using the sample space list, determine the probability that the customer will select a sample with exactly one defect.
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P(1 defect) = 9/15
Cheers,
Stan H.
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