document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=404208>Question 404208</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You have torn a tendon and are facing surgery to repair it. The surgeon explains the risks to you: infection occurs in 3% of such operations, the repair fails in 14% and both infection and failure occur together in 1%. What percent of these operations succeed and are free from infection?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #285670 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=285670\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> P(fail U infection) = P(fail) + P(infection) - P(fail AND infection) = 0.03 + 0.14 - 0.01 = 0.16<BR>\n" );
document.write( "==> P(success AND infection-free) = 1 - 0.16 = 0.84. </SPAN>\n" );
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