document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=470498>Question 470498</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This is the question: For 2 events A and B defined on a sample space S, <BR>\n" );
document.write( "N(AandBcomplement)= 15, N(Acomplement and B)= 50, and N(A and B)=2.  Given that <BR>\n" );
document.write( "N(S)= 120, how many outcomes belong to neither A Nor B?<BR>\n" );
document.write( "This is a sample space and algebra of sets problem.  I'm not sure where to start.<BR>\n" );
document.write( "Thanks. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #322703 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=322703\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For 2 events A and B defined on a sample space S, <BR>\n" );
document.write( "N(AandBcomplement)= 15, N(Acomplement and B)= 50, and N(A and B)=2. Given that <BR>\n" );
document.write( "N(S)= 120, how many outcomes belong to neither A Nor B?<BR>\n" );
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document.write( "Draw 2 intersecting circles; label them A and B.<BR>\n" );
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document.write( "Draw a rectangle around the circles ; label it S=120<BR>\n" );
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document.write( "Put \"2\" in the intersection of A and B.<BR>\n" );
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document.write( "Put \"15\" in the part of A that is not in the intersection.<BR>\n" );
document.write( "Put \"50\" in the part of B that is not in the intersection.<BR>\n" );
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document.write( "Now you see there are 15+2+50 = 67 in A or B.<BR>\n" );
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document.write( "Therefore there are 120 - 67 = 53 in S that are not in A or B.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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