Question 327011: Suppose 39 newly created pairs of jeans are placed in a bin to be checked for quality. Of these, 4 will not be of high enough quality to sell. Suppose that two pairs of jeans are randomly selected, without replacement, from the bin. What is the chance that both pairs of jeans selected will be substandard? Show step by step work! Give solution as a reduced fraction in lowest terms and approximated to the nearest ten thousandth
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Suppose 39 newly created pairs of jeans are placed in a bin to be checked for quality. Of these, 4 will not be of high enough quality to sell. Suppose that two pairs of jeans are randomly selected, without replacement, from the bin. What is the chance that both pairs of jeans selected will be substandard? Show step by step work! Give solution as a reduced fraction in lowest terms and approximated to the nearest ten thousandth
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# of ways to get two pairs of substandard jeans: 4C2 = (4*3)/(1*2) = 6
# of ways to get two pairs randomly: 39C2 = (39*38)/(1*2) = 741
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P(selecting two substandard pairs) = 6/741 = 0.0081
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Cheers,
Stan H.
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