document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=388799>Question 388799</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 60 students pass the maths exam and 50 pass the english exam. 10 students pass in neither of the exams and 50% passed both the exams. What is the probability that a student selected at random passed in maths? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #275207 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=275207\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let N = total # of students.<BR>\n" );
document.write( "Then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N%2F2 ALIGN=MIDDLE  ALT=\"N%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = # students who passed BOTH math and english,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50+-+N%2F2 ALIGN=MIDDLE  ALT=\"50+-+N%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = # students who passed english but not math, and <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60+-+N%2F2 ALIGN=MIDDLE  ALT=\"60+-+N%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = # students who passed math but not english.<BR>\n" );
document.write( "Hence\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50+-+N%2F2+%2B+N%2F2+%2B+60+-+N%2F2+%2B+10+=+N ALIGN=MIDDLE  ALT=\"50+-+N%2F2+%2B+N%2F2+%2B+60+-+N%2F2+%2B+10+=+N\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=120+-+N%2F2+=+N ALIGN=MIDDLE  ALT=\"120+-+N%2F2+=+N\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=120+=+3N%2F2 ALIGN=MIDDLE  ALT=\"120+=+3N%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or N = 80, the total number of students.<BR>\n" );
document.write( "Therefore the probability that a student selected at random passed in maths is 60/80, or 3/4. </SPAN>\n" );
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