document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=136403>Question 136403</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A college has 64 students.  36 are sophomores, 39 mathematic majors and 6 are neither.  A student is picked at random from the class. <BR>\n" );
document.write( "a.   What is the probability that the student is both a sophomore and a math major?<BR>\n" );
document.write( "b.  If the student is a sophomore, what is the probability that he is also a math major?  Write yor response as fractions.  Thank you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #99914 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=99914\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A college has 64 students. 36 are sophomores, 39 mathematic majors and 6 are neither. A student is picked at random from the class.<BR>\n" );
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document.write( "6 are neither, so 58 either or both.<BR>\n" );
document.write( "Let \"x\" be the number that are both. <BR>\n" );
document.write( "Them 36 + 39-x = 58<BR>\n" );
document.write( "x = 17 (# who are sophomore and math major)<BR>\n" );
document.write( "36-17= 19 (# who are sophomore  and not math major)<BR>\n" );
document.write( "39-17= 22 (# who are math major and not sophomore)<BR>\n" );
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document.write( "a. What is the probability that the student is both a sophomore and a math major? <BR>\n" );
document.write( "P(soph AND math) = 17/64<BR>\n" );
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document.write( "b. If the student is a sophomore, what is the probability that he is also a math major? Write yor response as fractions.<BR>\n" );
document.write( "P(math major|soph) = 17/39<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.  </SPAN>\n" );
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