document.write( "Question 1125221: Suppose 11 manufacturers produce a certain microchip, whose quality varies from manufacturer to manufacturer. If you were to select 7 manufacturers at randon, what is the chance that the selection would contain exactly 2 of the best 3 \n" ); document.write( "

Algebra.Com's Answer #741520 by ikleyn(52780) $\"\"$ $\"About$

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document.write( "You can select 7 manufactures from 11 manufactures by   ways =  = 330 ways.\r\n" );
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document.write( "It is your sample space, or space of events.\r\n" );
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document.write( "How many of them contain exactly 2 good of the best 3?\r\n" );
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document.write( "First, you can select 2 good manufactures from the best 3 by 3 ways.\r\n" );
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document.write( "Second, you can complement these 2 manufactures to 7 by adding 5 manufactures from 11-3 = 8 remaining manufactures,\r\n" );
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document.write( "and you can do it by   ways =  = 56 ways.\r\n" );
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document.write( "Thus 3*56 is the number of favorable choices.\r\n" );
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document.write( "Then the probability under the question is   = 0.5091 = 50.91%.    ANSWER\r\n" );
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