document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=472898>Question 472898</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose a company that makes radios is interested in quality control of their factory. As a batch of product goes by on the assembly line, they randomly select two radios from each batch to inspect for defects. Now suppose for a particular batch tested there are 3 defective radios and 15 good radios. What is the probability that at least one of the radios selected for testing will be defective? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #324226 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=324226\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Suppose a company that makes radios is interested in quality control of their factory. As a batch of product goes by on the assembly line, they randomly select two radios from each batch to inspect for defects. Now suppose for a particular batch tested there are 3 defective radios and 15 good radios. What is the probability that at least one of the radios selected for testing will be defective?<BR>\n" );
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document.write( "P(defective) = 2/15<BR>\n" );
document.write( "P(not defective) = 13/15<BR>\n" );
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document.write( "P(>=1 defective) = 1 - P(3 not not defective) <BR>\n" );
document.write( "= 1 - (13/15)^3<BR>\n" );
document.write( "= 1 - 0.651<BR>\n" );
document.write( "= 0.349<BR>\n" );
document.write( "===================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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