document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=821699>Question 821699</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There are 1000 students in the senior class at a certain high school. The high school offers two Advanced Placement math / stat classes to seniors only:  AP Calculus and AP Statistics.  The roster of the Calculus class shows 95 people; the roster of the Statistics class shows 86 people.  There are 43 overachieving seniors on both rosters.\r<BR>\n" );
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document.write( "12.    What is the probability that a randomly selected senior is in at least one of the two classes?<BR>\n" );
document.write( "(10 pts)\r<BR>\n" );
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document.write( "13.    If the student is in the Calculus class, what is the probability the student is also in the Statistics<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 #494339 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=494339\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There are 1000 students in the senior class at a certain high school. The high school offers two Advanced Placement math / stat classes to seniors only: AP Calculus and AP Statistics. The roster of the Calculus class shows 95 people; the roster of the Statistics class shows 86 people. There are 43 overachieving seniors on both rosters. <BR>\n" );
document.write( "12. What is the probability that a randomly selected senior is in at least one of the two classes?<BR>\n" );
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document.write( "P(calc or stat) = [95+86-43]/1000 = 0.138<BR>\n" );
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document.write( "13. If the student is in the Calculus class, what is the probability the student is also in the Statistics<BR>\n" );
document.write( "P(stat | calc) = P(stat AND calc)/P(calc) = (43/1000)/(95/100) = 43/95<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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