document.write( "Question 1159757: Q. The quality control department of a manufacturing tested the most recent batch of 1000 catalytic converters produced and found 50 of them defective. Subsequently, an employee unwittingly mixed the defective converters in with the non-defective ones. If a sample of three converters is randomly selected from the mixed batch, what is the probability is distribution of the number of defective converters in the sample? \n" ); document.write( "
Algebra.Com's Answer #783035 by Boreal(15235)\"\" \"About 
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I think you are asking for the probability distribution of the number of defective converters in the sample.\r
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\n" ); document.write( "\n" ); document.write( "for 0 it is 50C0*950C3/1000C3=0.8572
\n" ); document.write( "alternatively, probability of non defective is (950/1000)(949/999)(948/998)=0.8572\r
\n" ); document.write( "\n" ); document.write( "for 1 it is 50C1*950C2/1000C3 or 50 ways to choose the single defective and choose 2 out of 950 is 950C2
\n" ); document.write( "probability is 0.1356\r
\n" ); document.write( "\n" ); document.write( "for 2 it is 50C2*950C1/1000C3
\n" ); document.write( "=0.0070\r
\n" ); document.write( "\n" ); document.write( "for 3 it should be the remainder
\n" ); document.write( "50C3/1000C3=0.0001
\n" ); document.write( "(rounding makes total 0.9999
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