Question 510174: 4.1.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.
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How large a sample space is the customer potentially working with?
# of elements in the sample space: 6C2 = 15
I will not list them.
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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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# of elements in the sample space: 6C2 = 15
I will not list them.
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P(2 defects) = (3/6)^2 = 1/4
P(no defects) = (1/2)^2 = 1/4
So, P(1 defect) = 1- [1/4 + 1/4] = 1/2
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Cheers,
Stan H.
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