SOLUTION: A factory worker places 62 newly created circuits on a shelf to be checked for quality. Of these, 5 will not work correctly. Suppose that she is asked to randomly select two circui

Algebra ->  Probability-and-statistics -> SOLUTION: A factory worker places 62 newly created circuits on a shelf to be checked for quality. Of these, 5 will not work correctly. Suppose that she is asked to randomly select two circui      Log On


   



Question 268052: A factory worker places 62 newly created circuits on a shelf to be checked for quality. Of these, 5 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? Show step by step work! Approximate the solution to the nearest ten thousandth.

Answer by stanbon(75887) About Me  (Show Source):
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A factory worker places 62 newly created circuits on a shelf to be checked for quality. Of these, 5 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? Show step by step work! Approximate the solution to the nearest ten thousandth.
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Number of defective pairs: 5C2 = 10
Number of random pairs: 62C2 = 1891
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P(pick a defective pair) = 10/1891 = 0.0053
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Cheers,
Stan H.
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