document.write( "Question 1197428: a quality control engineer inspects a random sample of three batteries from a lot of 30 cars batteries, which are ready to be shipped . if the such a lot contains ten batteries with slight defects, what then is the probability that the inspector's sample contains .
\n" ); document.write( "1) none of the batteries with slight defects?
\n" ); document.write( "2)at least one of the batteries with slight defects?
\n" ); document.write( "solve it by extended general addition rule depended event . \n" ); document.write( "

Algebra.Com's Answer #830693 by ewatrrr(24785) $\"\"$ $\"About$

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document.write( "Hi\r\n" );
document.write( "30 Batteries (with 10 defects)  p(defect) = 1/3.  p(no defect) = 2/3\r\n" );
document.write( "   3 chosen\r\n" );
document.write( "p( 0 defects) = (2/3)^3 = \r\n" );
document.write( "Using\r\n" );
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document.write( "P(1 or 2 or 3 defects) =  3(1/3)(2/3)^2 + 3(1/3)^2(2/3) + (1/3)^3\r\n" );
document.write( "                           = 12/27 + 6/27 + 1/27 = \r\n" );
document.write( "Or  1 - 8/27 = 19/27 (bit easier)\r\n" );
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