document.write( "Question 1015336: If the probability of a certain defect in a product is 0.05 and the probability of a different defect in the product is 0.02. What is the probability of one or both of these defects occurring in a single product? \n" ); document.write( "

Algebra.Com's Answer #632243 by Fombitz(32388) $\"\"$ $\"About$

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Defect 1 present: $\"P=0.05\"$
\n" ); document.write( "Defect 1 not present : $\"P=1-0.05=0.95\"$
\n" ); document.write( "Defect 2 present: $\"P=0.02\"$
\n" ); document.write( "Defect 2 not present : $\"P=1-0.02=0.98\"$ \r
\n" ); document.write( "\n" ); document.write( "Defect 1, not defect 2: $\"P=0.05%280.98%29=0.049\"$
\n" ); document.write( "Defect 2, not defect 1: $\"P=0.02%280.95%29=0.019\"$
\n" ); document.write( "Defect 1, defect 2 : $\"P=0.05%280.02%29=0.001\"$
\n" ); document.write( "So then summing those probabilities,
\n" ); document.write( " $\"P=0.049%2B0.019%2B0.001=0.069\"$
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\n" ); document.write( "You could have also figured out the probability that neither defect exists,
\n" ); document.write( " $\"P=0.95%280.98%29=0.931\"$
\n" ); document.write( "The complement would be either one defect or both defects exist so,
\n" ); document.write( " $\"P=1-0.931=0.069\"$
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