document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1081019>Question 1081019</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A carton contains 24 light bulbs, 5 of which are defective. What is the probability that, if a sample of 8 is chosen at random from the carton of bulbs, 1 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 #695096 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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/cgi-bin/show-face.mpl?user=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=695096\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> From a sample of 8, there are 24C8 possibilities.<BR>\n" );
document.write( "5C1*19C7 is the numerator.  The probability is 251940/735471=0.3426<BR>\n" );
document.write( "One way to look at this is take 1 of the 8 samples<BR>\n" );
document.write( "5/24*19/23*18/22*17/21*16/20*15/19*14/18*13/17.  This is multiplied by 8, the ways it could happen, and would move the numerator around but wouldn't change the denominator.  This quotient is the same.\r<BR>\n" );
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document.write( "5*19*18*17*16*15*14*13/7! all divided by 24*23*22*21*20*19*18*17/8!, and that gives the same answer.<BR>\n" );
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