document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=778643>Question 778643</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a certain college town,<BR>\n" );
document.write( "26.8<BR>\n" );
document.write( "percent of the students failed Mathematics (Math),<BR>\n" );
document.write( "16.4<BR>\n" );
document.write( "percent failed Biology (Bio), and<BR>\n" );
document.write( "10.9<BR>\n" );
document.write( "percent failed both Math and Bio. A student is sele<BR>\n" );
document.write( "cted at random. Let A represent the event of failin<BR>\n" );
document.write( "g Math, so that A' is the<BR>\n" );
document.write( "probability of passing Math. Let B be the event of<BR>\n" );
document.write( "failing Bio and B' the event of passing Bio\r<BR>\n" );
document.write( "\n" );
document.write( "If the student failed Bio, what is the probability<BR>\n" );
document.write( "that he or she passed Math? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #474833 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=474833\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In a certain college town,<BR>\n" );
document.write( "26.8<BR>\n" );
document.write( "percent of the students failed Mathematics (Math),<BR>\n" );
document.write( "16.4<BR>\n" );
document.write( "percent failed Biology (Bio), and<BR>\n" );
document.write( "10.9<BR>\n" );
document.write( "percent failed both Math and Bio. A student is sele<BR>\n" );
document.write( "cted at random. Let A represent the event of failin<BR>\n" );
document.write( "g Math, so that A' is the<BR>\n" );
document.write( "probability of passing Math. Let B be the event of<BR>\n" );
document.write( "failing Bio and B' the event of passing Bio <BR>\n" );
document.write( "If the student failed Bio, what is the probability<BR>\n" );
document.write( "that he or she passed Math?<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "P(passed Math |failed Bio) = P(A' AND B)/P(B Bio)<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "P(A' | B) = (16.4-10.9)/16.4 = 5.5/16.4 = 0.3354<BR>\n" );
document.write( "========<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "========= </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );