document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=537280>Question 537280</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help with this please:\r<BR>\n" );
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document.write( "Given that a two-digit number is randomly selected, what is the probability that the sum of the digits exceeds five?  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 #352786 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=352786\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let P stand for probability<BR>\n" );
document.write( "( P that sum of digits exceeds 5 ) + ( P that sum is 5 or less ) = 1<BR>\n" );
document.write( "The probabilities of everything that can possibly happen<BR>\n" );
document.write( "must add up to one, therefore:<BR>\n" );
document.write( "( P that sum of digits exceeds 5 ) = 1 - ( P that sum is 5 or less )<BR>\n" );
document.write( "The 2 digit numbers that are 5 or less are<BR>\n" );
document.write( "10,11,12,13,14<BR>\n" );
document.write( "20,21,22,23<BR>\n" );
document.write( "30,31,32<BR>\n" );
document.write( "40,41<BR>\n" );
document.write( "50<BR>\n" );
document.write( "There are 15 of these numbers<BR>\n" );
document.write( "The sum of digits of all the other 2 digit numbers exceed 5<BR>\n" );
document.write( "The tens digit can be 1 - 9, or 9 possible<BR>\n" );
document.write( "The units digit can be 0 - 9 or 10 possible<BR>\n" );
document.write( "Total possible numbers = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9%2A10+=+90+ ALIGN=MIDDLE  ALT=\"+9%2A10+=+90+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+15%2F90+ ALIGN=MIDDLE  ALT=\"+15%2F90+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = P that sum is 5 or less<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1+-+15%2F90+=+90%2F90+-+15%2F90+ ALIGN=MIDDLE  ALT=\"+1+-+15%2F90+=+90%2F90+-+15%2F90+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1+-+15%2F90+=+75%2F90+ ALIGN=MIDDLE  ALT=\"+1+-+15%2F90+=+75%2F90+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+75%2F90+=+5%2F6+ ALIGN=MIDDLE  ALT=\"+75%2F90+=+5%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "P that sum of digits exceeds 5 = 5/6<BR>\n" );
document.write( "  </SPAN>\n" );
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