document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=478499>Question 478499</A>: <I><SPAN STYLE=\"word-break: break-all;\"> -in high school graduating class of 100 students, 54 studies mathematics.69studies history,35 studies both math and history . if one of these students is selected randomly.find the probability that<BR>\n" );
document.write( "a.the students took math or history.<BR>\n" );
document.write( "b.the students did'nt take either of these subjects.<BR>\n" );
document.write( "c.the students took history but not math.<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 #327993 by </B><A HREF=/tutors/aboutme.mpl?userid=Maths68><B>Maths68(1474)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Maths68><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=Maths68><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=327993\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> P(Studies Maths)=P(M)=54/100=0.54<BR>\n" );
document.write( "P(Studies History)=P(H)=69/100=0.69<BR>\n" );
document.write( "P(Studies Maths and History)=P(M&#8745;H)=35/100=0.35\r<BR>\n" );
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document.write( "a)	the students took math or history.\r<BR>\n" );
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document.write( "P(M U H)=?<BR>\n" );
document.write( "P(MUH)=P(M)+P(H)-P(M&#8745;H)<BR>\n" );
document.write( "P(MUH)=(0.54+0.69)-0.35<BR>\n" );
document.write( "P(MUH)=(0.54+0.69)-0.35<BR>\n" );
document.write( "P(MUH)=1.23-0.35<BR>\n" );
document.write( "P(MUH)=0.88\r<BR>\n" );
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document.write( "b)	the students did'nt take either of these subjects.\r<BR>\n" );
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document.write( " P(Not MUH)=1-P(MUH)=1-0.88=0.12\r<BR>\n" );
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document.write( "c)	the students took history but not math.\r<BR>\n" );
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document.write( "The students took History but not Maths = Students took History – Students took both History and Maths<BR>\n" );
document.write( "=69-35<BR>\n" );
document.write( "=34<BR>\n" );
document.write( "P(History not Maths)=34/100<BR>\n" );
document.write( "P(History not Maths)=0.34 </SPAN>\n" );
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