SOLUTION: Suppose 105 newly created pairs of jeans are placed in a large bin to be checked for quality. Of these, 7 will not be of high enough quality to sell. Suppose that two pairs of je

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Question 249531: Suppose 105 newly created pairs of jeans are placed in a large bin to be checked for quality. Of these, 7 will not be of high enough quality to sell. Suppose that two pairs of jeans are randonly selected, without replacement, from the bin. What is the chance that both pairs of jeans selected will be substandard? Give solution as a reduced fraction in lowest terms and approximated to the nearest ten thousandth.
Answer by stanbon(75887) About Me  (Show Source):
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Suppose 105 newly created pairs of jeans are placed in a large bin to be checked for quality. Of these, 7 will not be of high enough quality to sell. Suppose that two pairs of jeans are randonly selected, without replacement, from the bin. What is the chance that both pairs of jeans selected will be substandard? Give solution as a reduced fraction in lowest terms and approximated to the nearest ten thousandth.
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Pick two pairs are sub: 7C2
Pick two pairs without restriction: 105C2
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P(2 sub) = 7C2/105C2 = 21/5460 =0.0038
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Cheers,
Stan H.