document.write( "Question 1200775: In a batch of 100 CDs 6 are defective. A sample of three CDs is to be selected at random. What is the probability that two of the three CDs will be defective \n" ); document.write( "
Algebra.Com's Answer #834985 by ikleyn(52925)\"\" \"About 
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\n" ); document.write( "In a batch of 100 CDs 6 are defective. A sample of three CDs is to be selected at random.
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document.write( "The number of all possible triples of 100 CDs is\r\n" );
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document.write( "    \"C%5B100%5D%5E3\" = \"%28100%2A99%2A98%29%2F%281%2A2%2A3%29\" = 161700.\r\n" );
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document.write( "The number of all triples, that contain 2 defective CDs of 6 defective CDs is\r\n" );
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document.write( "    \"C%5B6%5D%5E2%2AC%5B100-6%5D%5E1\" = \"C%5B6%5D%5E2%2AC%5B94%5D%5E1\" = \"%28%286%2A5%29%2F2%29%2A94\" = 15*94 = 1410.\r\n" );
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document.write( "The desired probability is the ratio of these two numbers\r\n" );
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document.write( "    P = \"1410%2F161700\" = \"47%2F5390\" = 0.00872  (rounded).    ANSWER\r\n" );
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