document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1028218>Question 1028218</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two distinct numbers are randomly chosen from the set {1, 2, 3, …, 9}. What is the probability that the ratio of the larger number to the smaller number is an integer? Express 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 #643347 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=643347\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There are C(9,2) = 36 ratios that can be formed from the set, with the numerator being greater than the denominator.  Of these, exactly 14 are integers.  (Verify by listing the ratios yourself!)  Therefore the probability is 14/36, or 7/18. </SPAN>\n" );
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