document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=404204>Question 404204</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Twenty percent of trees in a particular forest have a disease, 30% of the trees are too small to be used for lumber, and 40% are too small to be used for lumber or have a disease. What percent of the trees are too small to be used for lumber, given that they have a disease? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #285672 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=285672\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> P(diseased) = 0.20<BR>\n" );
document.write( "P(too small) = 0.30<BR>\n" );
document.write( "P(diseased U too small) = 0.40<BR>\n" );
document.write( "==> P(too small|diseased) = P(too small AND diseased)/P(diseased)<BR>\n" );
document.write( "=[P(too small) + P(diseased) - P(too small U diseased)]/P(diseased)<BR>\n" );
document.write( "=[0.30 + 0.20 - 0.40]/0.20 = 0.10/0.20 = 1/2, or 50% of the trees are too small to be used for lumber, given that they have a disease. </SPAN>\n" );
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