SOLUTION: A factory worker places 120 newly created circuits on a shelf to be checked for quality. Of these 9 will not work correctly. Suppose that she is asked to randomly select two circui

Algebra ->  Probability-and-statistics -> SOLUTION: A factory worker places 120 newly created circuits on a shelf to be checked for quality. Of these 9 will not work correctly. Suppose that she is asked to randomly select two circui      Log On


   



Question 312766: A factory worker places 120 newly created circuits on a shelf to be checked for quality. Of these 9 will not work correctly. Suppose that she is asked to randomly select two circuits, without replacement, from the shelf. What is the chance that both circuits she selects will be defective? Approximate to the nearest ten thousandth.
Answer by stanbon(75887) About Me  (Show Source):
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A factory worker places 120 newly created circuits on a shelf to be checked for quality. Of these 9 will not work correctly. Suppose that she is asked to randomly select two circuits, without replacement, from the shelf. What is the chance that both circuits she selects will be defective? Approximate to the nearest ten thousandth.
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# of ways to select 2 defective: 9C2 = 36
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# of random ways to select 2 from 120: 120C2 = 7140
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P(selecting 2 defective) = 36/7140 = 0.0050
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Cheers,
Stan H.