document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1153115>Question 1153115</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 4) A group of 1455 students were surveyed about the courses they were taking at their college with the results organized in the following Venn diagram:\r<BR>\n" );
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document.write( "There are four circles <BR>\n" );
document.write( "Math: I. 44 II.59 V.137 VII.80 VI.151 IX.163 IV.43<BR>\n" );
document.write( "Science: II.59 III.149 V.137 VI.151 VII.80 VIII.160 X. 80 <BR>\n" );
document.write( "Dance: VIII.160 VII.80 V.137 IV.43 VI.151 IX.163 X.88 <BR>\n" );
document.write( "English: VI.151 VII. 80 VIII.160 X.88 IX.163 XII.34 \r<BR>\n" );
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document.write( "outside of the diagrams: XIV.66 <BR>\n" );
document.write( "A student is drawn at random from the group of surveyed students. Find each of the following, rounding your answer to 4 decimal places.<BR>\n" );
document.write( "a) What is the probability that the student is taking none of the courses?<BR>\n" );
document.write( "Round your answer to 4 decimal places.\r<BR>\n" );
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document.write( "b) What is the probability that the student is not taking Science?<BR>\n" );
document.write( "Round your answer to 4 decimal places.\r<BR>\n" );
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document.write( "c) What is the probability that the student is taking Math & English or are taking Science & Dance?<BR>\n" );
document.write( "Round your answer to 4 decimal places.\r<BR>\n" );
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document.write( "d) What is the probability that the student is taking Math, Science, and English, but not Dance?<BR>\n" );
document.write( "Round your answer to 4 decimal places.\r<BR>\n" );
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document.write( "e) What is the probability that the student is taking Science, but not Dance?<BR>\n" );
document.write( "Round your answer to 4 decimal places.\r<BR>\n" );
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document.write( "f) What is the probability that the student is not taking Dance & English or is taking Dance & Math?<BR>\n" );
document.write( "Round your answer to 4 decimal places.\r<BR>\n" );
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document.write( "g) What is the probability that the student is not taking Science, Dance, or English?<BR>\n" );
document.write( "Round your answer to 4 decimal places.\r<BR>\n" );
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document.write( "h) What is the probability that the student is taking Math given they are taking English<BR>\n" );
document.write( "Round your answer to 4 decimal places.\r<BR>\n" );
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document.write( "i) What is the probability that the student is taking Math, Science, or English?<BR>\n" );
document.write( "Round your answer to 4 decimal places.\r<BR>\n" );
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document.write( "i) What is the probability that the student is taking Math and English, but not Dance?<BR>\n" );
document.write( "Round your answer to 4 decimal places.<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 #775360 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52790)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=775360\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .\r<BR>\n" );
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document.write( "As this problem is worded, &nbsp;printed, &nbsp;posted and presented, &nbsp;it &nbsp;HAS &nbsp;NO &nbsp;the major part, &nbsp;which &nbsp;EVERY &nbsp;Math &nbsp;problem &nbsp;<U>must have</U>.\r<BR>\n" );
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document.write( "It has no an adequate description of &nbsp;<U>WHAT &nbsp;IS &nbsp;GIVEN</U>.\r<BR>\n" );
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document.write( "Therefore, &nbsp;it is hopeless to wait and to expect obtaining / (getting) a solution.\r<BR>\n" );
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document.write( "Have a nice day of  &nbsp;Feb.29, &nbsp;the leap day &nbsp;(!)\r<BR>\n" );
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document.write( " </SPAN>\n" );
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