document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=369654>Question 369654</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Enrollment statistics at a certain college show that 55% of all students are men, 18% of the student body consists of women majoring in business, and 40% of all students major in business.  A student is selected at random.\r<BR>\n" );
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document.write( "Find the conditional probability that the person majors in business if we are certain the person is a woman.\r<BR>\n" );
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document.write( "I've got P(men) = 55 and P(women majoring in business) = 18, but the 40% I do not know what to do.  I tried Venn diagram and:\r<BR>\n" );
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document.write( "P(M U W) = P(M) + P(W) - P(M n W)  I still cannot get answer..\r<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 #263423 by </B><A HREF=/tutors/aboutme.mpl?userid=jrfrunner><B>jrfrunner(365)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jrfrunner><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=jrfrunner><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=263423\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> given \r<BR>\n" );
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document.write( "P(Man)=0.55, P(Woman AND Business)=0.18,  P(Business)=0.40<BR>\n" );
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document.write( "from this P(Woman)=1-P(man)=1-0.55=0.45<BR>\n" );
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document.write( "Using the probability rule  P(A/B)=P(A and B)/P(B)<BR>\n" );
document.write( "Want<BR>\n" );
document.write( "P(Business given Woman)=P(Woman AND Business)/P(Woman)=0.18/0.45=0.40 </SPAN>\n" );
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