Algebra.Com's Answer #848817 by ikleyn(52803)![\"\"](\"/images/stars/stars-13.gif\")  
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document.write( "A company receives a shipment of 16 items. A random sample of 4 items is selected,
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document.write( "and the shipment is rejected if any two of these items proves to be defective.
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document.write( "What is the probability of accepting a shipment containing 4 defective items ?
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document.write( "The probability that the shipment will be  is equal to the probability to find 0 or 1 \r\n" );
document.write( "defective items in the random sub-set of 4 (four) items in the set of 16 items.\r\n" );
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document.write( "The number of all possible quadruples of 16 items is  =  = 1820.\r\n" );
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document.write( "The number of all possible quadruples of the form (0 defective,4 good) is  = 1*495 = 495. \r\n" );
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document.write( "The number of all possible quadruples of the form (1 defective,3 good) is  = 4*220 = 880.\r\n" );
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document.write( "So the probability that the shipment will be accepted is\r\n" );
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document.write( " P =  =  =  = 0.755494505 = 75.55% (rounded). ANSWER\r\n" );
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document.write( "Solved.\r
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