document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=200902>Question 200902</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two different natural numbers are selected from the set {1,2,3,&#133;,6}. What is the<BR>\n" );
document.write( "probability that the greatest common factor of these two numbers is one? Express<BR>\n" );
document.write( "your answer as a common fraction </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #151158 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=151158\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two different natural numbers are selected from the set {1,2,3,…,6}. What is the<BR>\n" );
document.write( "probability that the greatest common factor of these two numbers is one? Express<BR>\n" );
document.write( "your answer as a common fraction<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "There are 6C2 = 15 distinct pairs of numbers.<BR>\n" );
document.write( "The following pairs satisfy the criteria.<BR>\n" );
document.write( "1,2;1,3;1,4;1,5;1,6<BR>\n" );
document.write( "2,3;2,5<BR>\n" );
document.write( "3,4;3,5<BR>\n" );
document.write( "4,5<BR>\n" );
document.write( "5,6<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "P(pairs that meet the criteria) = 11/15 <BR>\n" );
document.write( "===========================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );