document.write( "Question 1193401: A shipment of 10 items has two defective and eight non defective units.In the inspection of the shipment , a sample of units will be selected and tested. If a defective unit is found , the shipment of 10 units will be rejected. If a sample of three is selected , what is the probability that the shipment will be rejected? \n" ); document.write( "

Algebra.Com's Answer #825412 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "A shipment of 10 items has two defective and eight non defective units.
\n" ); document.write( "In the inspection of the shipment, a sample of units will be selected and tested.
\n" ); document.write( "If a defective unit is found, the shipment of 10 units will be rejected.
\n" ); document.write( "If a sample of three is selected , what is the probability that the shipment will be rejected?
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document.write( "The probability that the shipment will be rejected, is the ratio of two numbers.\r\n" );
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document.write( "The denominator is the number of all possible different triples of 10 items,\r\n" );
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document.write( "     =  = 120.\r\n" );
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document.write( "The numerator is the number of all triples of 10 item that contain one or two defective items.\r\n" );
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document.write( "The number of triples containing 1 defective item is   . =  = 8*7 = 56.\r\n" );
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document.write( "The number of triples containing 2 defective items is  . = 1*8 = 8.\r\n" );
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document.write( "Thus the numerator is  56 + 8 = 64.\r\n" );
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document.write( "Hence, the  ANSWER  to the problem's question is   = .\r\n" );
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