SOLUTION: In a batch of 100 CDs 6 are defective. A sample of three CDs is to be selected at random. What is the probability that two of the three CDs will be defective
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Question 1200775: In a batch of 100 CDs 6 are defective. A sample of three CDs is to be selected at random. What is the probability that two of the three CDs will be defective Answer by ikleyn(52914) (Show Source):
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In a batch of 100 CDs 6 are defective. A sample of three CDs is to be selected at random.
What is the probability that two of the three CDs will be defective
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The number of all possible triples of 100 CDs is
= = 161700.
The number of all triples, that contain 2 defective CDs of 6 defective CDs is
= = = 15*94 = 1410.
The desired probability is the ratio of these two numbers
P = = = 0.00872 (rounded). ANSWER
