document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1038886>Question 1038886</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hospital Records show that 12% of all patients are admitted for surgical treatment, 16% are admitted for obstetrics, and 2% receive both obstetrics and surgical treatments.  If a new patient is admitted to the hospital, what is the probability that the patient will be admitted either for surgery, obstetrics, or both? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #653934 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=653934\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> p(s) = .12<BR>\n" );
document.write( "p(o) = .16<BR>\n" );
document.write( "p(s and o) = .02\r<BR>\n" );
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document.write( "p(s or o) = p(s) + p(o) - p(s and o).\r<BR>\n" );
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document.write( "that would make p(s or o) = .12 + .16 - .02 = .28 - .02 = .26.\r<BR>\n" );
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document.write( "the assumption is that p(s and o) is being double counted because it's included in p(s) and it's included in p(o).\r<BR>\n" );
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document.write( "that's why you have to subtract one occurrence of it.\r<BR>\n" );
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