document.write( "Question 1166954: A quality control engineer inspects a random sample of three batteries from each lot of 30 car batteries, which is ready to be shipped. If such a lot contains ten batteries with slight defects, what then is the probability that the inspector’s sample contain
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Algebra.Com's Answer #791513 by ikleyn(52781) $\"\"$ $\"About$

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A quality control engineer inspects a random sample of three batteries from each lot of 30 car batteries, which is ready to be shipped.
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\n" ); document.write( "(b) At least one of the batteries with slight defects?
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document.write( "We have the set A of 30 items and its subset B of defective items consisting of 10 items.\r\n" );
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document.write( "We randomly select 3 items from the set A.\r\n" );
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document.write( "If no one of these 3 items is defective, it means that this triple of items is selected from the subset of 20 good items.\r\n" );
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document.write( "The probability to have good item at the first selection is  .\r\n" );
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document.write( "The probability to have good item at the second selection (having good item at the first selection) is  .\r\n" );
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document.write( "The probability to have good item at the third selection (having good items after the first and second selections) is  .\r\n" );
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document.write( "The probability to have good triple is thus  the product   =  =  =  = 0.280788.\r\n" );
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document.write( "It is the answer to question (a).\r\n" );
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document.write( "The answer to question (b) is the COMPLEMENT  1 - 0.280788 = 0.719212.\r\n" );
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