document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1071563>Question 1071563</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two fair dice are rolled. Find the odds for rolling a sum of 10. \r<BR>\n" );
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document.write( "Now find the odds against rolling a sum of 10. \r<BR>\n" );
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document.write( "(I am unsure how to mathematically do this, a step by step explanation would be greatly appreciated to help me on the rest of my homework!) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #686480 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=686480\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The ways of getting 10 with 2 dice are<BR>\n" );
document.write( "6 and 4<BR>\n" );
document.write( "4 and 6<BR>\n" );
document.write( "5 and 5<BR>\n" );
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document.write( "so there are 3 ways of getting 10<BR>\n" );
document.write( "Each of the 6 faces of one die can be paired up with <BR>\n" );
document.write( "one of the 6 faces of the other die, so there are<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6%5E2+=+36+ ALIGN=MIDDLE  ALT=\"+6%5E2+=+36+\"   DISABLED_style= \"max-width:90%; height:auto;\" > possible outcomes<BR>\n" );
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document.write( "The odds are defined as:<BR>\n" );
document.write( "[ outcomes you want ] : [ outcomes you don't want ]<BR>\n" );
document.write( "The odds of getting a 10 are:<BR>\n" );
document.write( "3:33<BR>\n" );
document.write( "The odds of not rolling 10 are:<BR>\n" );
document.write( "33:3<BR>\n" );
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document.write( "This is an easy example. Let's say you had dice each with<BR>\n" );
document.write( "100 faces, 1 through 100, and you wanted odds that <BR>\n" );
document.write( "when rolling them, you would get a total of 150.  You would<BR>\n" );
document.write( "have:<BR>\n" );
document.write( "100 & 50<BR>\n" );
document.write( "50 & 100<BR>\n" );
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document.write( "99 & 51<BR>\n" );
document.write( "51 & 99<BR>\n" );
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document.write( "etc. until you get to:<BR>\n" );
document.write( "75 & 75<BR>\n" );
document.write( "which is the last one<BR>\n" );
document.write( "So, there must be a mathematical rule.<BR>\n" );
document.write( "It looks like:<BR>\n" );
document.write( "Total of outcomes you want is:<BR>\n" );
document.write( "(( # of faces ) minus ( total you want/2 ))*2 + 1<BR>\n" );
document.write( "Maybe you can look up a \"formal\" method.<BR>\n" );
document.write( "Or you can figure it out each time like this.<BR>\n" );
document.write( "Definitely get another opinion, too.<BR>\n" );
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