document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1146132>Question 1146132</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In senior year of a high school graduating class of 100 students, 42 studied mathematics, 68 studied psychology, 54 studied history, 22 studied both mathematics and history, 25 studied both mathematics and psychology, 7 studied history but neither mathematics nor psychology, 10 studied all three subjects, and 8 did not take any of the three. If a student is selected at random, find the probability that<BR>\n" );
document.write( "(a) a student enrolled in psychology takes all three subjects.<BR>\n" );
document.write( "(b) a student not taking psychology is taking both history and mathematics. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #767473 by </B><A HREF=/tutors/aboutme.mpl?userid=richwmiller><B>richwmiller(17219)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richwmiller><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=richwmiller><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=767473\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (a) a student enrolled in psychology takes all three subjects.<BR>\n" );
document.write( "10/68= 5/34<BR>\n" );
document.write( "(b) a student not taking psychology is taking both history and mathematics.<BR>\n" );
document.write( "remove psych students and 8 who are not taking any of the three <BR>\n" );
document.write( "100-68-8=24 are <BR>\n" );
document.write( "or <BR>\n" );
document.write( "5+12+7=24<BR>\n" );
document.write( "12/24=1/2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/display-illustration.mpl?tutor=richwmiller&illustration_name=Seniors\"> </SPAN>\n" );
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