document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1182308>Question 1182308</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Paige turner loves finite mathematics. She has 5 books about probability and four books about matrices. She lends her friend Anita Tudor four of these books, selected completely random.\r<BR>\n" );
document.write( "\n" );
document.write( "What is the probability Paige lends Anita two books on each topic (I.e. two matrix books and two probability books)?\r<BR>\n" );
document.write( "\n" );
document.write( "What is the probability she lends her at least one book on each topic?\r<BR>\n" );
document.write( "\n" );
document.write( "Enter your answers as fractions in lowest terms. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #812284 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=812284\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> for 2 each it would be 5C2*4C2/9C4, the 9C4 is choosing 4 books from 9. It is also the \"sum\" of the two top terms.<BR>\n" );
document.write( "=10*6/126 or 60/126=10/21<BR>\n" );
document.write( "-<BR>\n" );
document.write( "for at least 1 on each topic. Look at the possibility of none for each topic. That is 4C0*5C4/9C4=5/126<BR>\n" );
document.write( "and 5C0*4C!/9C4=4/126.  We want everything but these two possibilities, which is 117/126=13/14. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );