document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=725497>Question 725497</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Discipline Male Female Total<BR>\n" );
document.write( "Mathematics 6 4 10<BR>\n" );
document.write( "Science 5 2 7<BR>\n" );
document.write( "Engineering 1 0 1<BR>\n" );
document.write( "Total 12 6 18\r<BR>\n" );
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document.write( "Suppose that two faculty members are chosen at random to win a door prize at the MS&E Division end-ofsemester party (only one prize per person). Find the fractional probability that the two faculty members are <BR>\n" );
document.write( "of the opposite sex.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #444172 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=444172\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Discipline Male Female Total<BR>\n" );
document.write( "Mathematics 6 4 10<BR>\n" );
document.write( "Science.... 5 2 7<BR>\n" );
document.write( "Engineering 1 0 1<BR>\n" );
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document.write( "Total..... 12 6 18\r<BR>\n" );
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document.write( "\n" );
document.write( "Suppose that two faculty members are chosen at random to win a door prize at the MS&E Division end-ofsemester party (only one prize per person). Find the fractional probability that the two faculty members are of the opposite sex.<BR>\n" );
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document.write( "# of pairs of opposite sex: 12*6 = 72<BR>\n" );
document.write( "# of pairs of same sex: 12C2 + 6C2 = 66+15 = 81<BR>\n" );
document.write( "P(pair of opposite sex) = 72/81 = 0.89<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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