document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1174700>Question 1174700</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A box contains 15 items, 4 of which are defective. Three items are selected. What is the probability that the first is good, the second is defective and third is also good. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #800160 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=800160\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> there are 15 items in the box.<BR>\n" );
document.write( "4 of them are defective.<BR>\n" );
document.write( "11 of them are not.\r<BR>\n" );
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document.write( "the probability that the first item you pick out of the box is not defective is 11/15.\r<BR>\n" );
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document.write( "assuming the first item you picked out of the box was not defective, then the box now contains 14 items.<BR>\n" );
document.write( "4 of them are defective.<BR>\n" );
document.write( "10 of them are not.\r<BR>\n" );
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document.write( "the probability that the second item you pick out of the box is defective is 4/14.\r<BR>\n" );
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document.write( "assuming the second items you picked out of the box was defective, then the box now contains 13 items.<BR>\n" );
document.write( "3 of them are defective.<BR>\n" );
document.write( "10 of them are not.\r<BR>\n" );
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document.write( "the probability that the third item you pick out of the box is not defective is 10/13.\r<BR>\n" );
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document.write( "the probability that all 3 events occur is:\r<BR>\n" );
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document.write( "11/15 * 4/14 * 10/13 =  (11*4*10) / (15*14*13) = 440 / 2730 = 4.1611721612.\r<BR>\n" );
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