document.write( "Question 1152448: A warehouse employs 27 workers on first shift, 19 workers on second shift, and 14 workers on third shift. Eight workers are chosen at random to be interviewed. Find the probability of choosing exactly five first shift workers.
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Algebra.Com's Answer #774506 by ikleyn(52782) $\"\"$ $\"About$

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document.write( "Notice that there are 27+19+14 = 60 workers, in all.\r\n" );
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document.write( "Of them, 19+14 = 33 are from the second and the third shift, together.\r\n" );
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document.write( "The full sample space in this case is the set of all subsets of 8 workers selected from 60 workers.\r\n" );
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document.write( "The number of such subsets is  .\r\n" );
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document.write( "The favorable set is the combination of all subsets of  5 workers selected from 27 workers of the first shift,  , \r\n" );
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document.write( "and all subsets of  3  workers selected from 33 workers not belonging to the first shift,  .\r\n" );
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document.write( "Therefore, the probability under the question is\r\n" );
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document.write( "    P = . / .\r\n" );
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document.write( "I leave it to you to make all necessary calculations.\r\n" );
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