document.write( "Question 1190725: The quality assurance engineer of a television manufacturer inspects TVs in lots of 100. He
\n" ); document.write( "selects 5 of the 100 TVs at random and inspects them thoroughly. Assuming that 6 of the 100
\n" ); document.write( "TVs in the current lot are defective, find the probability that exactly 2 of the 5 TVs selected by
\n" ); document.write( "the engineer are defective. \n" ); document.write( "

Algebra.Com's Answer #822442 by ikleyn(52786) $\"\"$ $\"About$

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\n" ); document.write( "The quality assurance engineer of a television manufacturer inspects TVs in lots of 100. He
\n" ); document.write( "selects 5 of the 100 TVs at random and inspects them thoroughly. Assuming that 6 of the 100
\n" ); document.write( "TVs in the current lot are defective, find the probability that exactly 2 of the 5 TVs selected by
\n" ); document.write( "the engineer are defective.
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document.write( "In all, there are   =  = 75287520  different quintuples,\r\n" );
document.write( "i.e. sets of 5 TVs taken at a time from 100 TVs.\r\n" );
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document.write( "It is the size of the space of events in this problem.\r\n" );
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document.write( "Of them, the number of the quintuples that have exactly 2 defective and 3 good TVs, is\r\n" );
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document.write( "     =  = 15*134044 = 2010660.\r\n" );
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document.write( "Therefore, the probability under the problem's question is the ratio\r\n" );
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document.write( "    P =  =  = 0.02671  (rounded).    ANSWER\r\n" );
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