document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1061122>Question 1061122</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 30% of students at a university are freshmen. 20% went to high school in california. 7% are both. find the probability that a student is a freshmen who did not go to high school in california  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #676006 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=676006\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> probability that a student is a freshman is .30.<BR>\n" );
document.write( "probability that a student went to high school in california is .20<BR>\n" );
document.write( "probabilitt that a student went to high school in california and is a freshman is .07.\r<BR>\n" );
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document.write( "the assumption is that the student who went to high school and is a freshman is included in the totals of the student who is a freshman and is also included in the totals of the student who went to high school in california.\r<BR>\n" );
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document.write( "consequently, it needs to be subtracted from both and then added back in as a separate category.\r<BR>\n" );
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document.write( "subtracting it from both and adding as a separate category gets you.\r<BR>\n" );
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document.write( "students who are freshmen  DISABLED_event_only=  .23<BR>\n" );
document.write( "students who went to a high school in california are .13<BR>\n" );
document.write( "students who are freshmen and went to a high school in california are .07<BR>\n" );
document.write( "total is .23 + .13 + .07 = .43\r<BR>\n" );
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document.write( "the probability that the student is a freshman who did not go to high school in california would be .23.\r<BR>\n" );
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document.write( "as an example:\r<BR>\n" );
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document.write( "assume 100 students.\r<BR>\n" );
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document.write( "30 are freshmen.<BR>\n" );
document.write( "20 went to high school in california.<BR>\n" );
document.write( "7 are freshmen who went to high school in california.\r<BR>\n" );
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document.write( "of the 30 freshmen, 7 also went to high school in california.<BR>\n" );
document.write( "of the 20 who went to high school in california, 7 are freshmen.\r<BR>\n" );
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document.write( "the 7 are being counted twice.\r<BR>\n" );
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document.write( "take them out of each category and put them in their own category and you get the answer you are looking for.\r<BR>\n" );
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document.write( "30 = 23 + 7.<BR>\n" );
document.write( "20 = 13 + 7.\r<BR>\n" );
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document.write( "the 7 are taken out and put in a separate category of both.\r<BR>\n" );
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document.write( "you get:\r<BR>\n" );
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document.write( "23 freshmen who did not go to high school in california.<BR>\n" );
document.write( "13 from high school in california who are freshmen.<BR>\n" );
document.write( "7 who are freshmen and from high school in california.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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