document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=431284>Question 431284</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the probability that a random 2 digit number is a multiple of 7? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #299361 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=299361\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Without loss of generality, assume only positive integers.  There are 90 2-digit positive integers, while there are 13 2-digit positive integers divisible by 7.\r<BR>\n" );
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document.write( "Hence the probability is 13/90.\r<BR>\n" );
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document.write( "Why 13 2-digit positive integers divisible by 7?\r<BR>\n" );
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document.write( "98 = 14 + (n-1)7, from the arithmetic sequence formula.<BR>\n" );
document.write( "==> 84 = (n-1)7<BR>\n" );
document.write( "==> 12 = n-1<BR>\n" );
document.write( "==> n = 13. </SPAN>\n" );
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