document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1034747>Question 1034747</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Assume you are rolling two dice; the first one is red, and the second one is green. Use systematic listing to determine the number of ways you can roll a total of 9 on the two dice. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #649423 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=649423\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let's list out the sample space\r<BR>\n" );
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document.write( "{1, 1}<BR>\n" );
document.write( "{1, 2}<BR>\n" );
document.write( "{1, 3}<BR>\n" );
document.write( "{1, 4}<BR>\n" );
document.write( "{1, 5}<BR>\n" );
document.write( "{1, 6}<BR>\n" );
document.write( "{2, 1}<BR>\n" );
document.write( "{2, 2}<BR>\n" );
document.write( "{2, 3}<BR>\n" );
document.write( "{2, 4}<BR>\n" );
document.write( "{2, 5}<BR>\n" );
document.write( "{2, 6}<BR>\n" );
document.write( "{3, 1}<BR>\n" );
document.write( "{3, 2}<BR>\n" );
document.write( "{3, 3}<BR>\n" );
document.write( "{3, 4}<BR>\n" );
document.write( "{3, 5}<BR>\n" );
document.write( "{3, 6}<BR>\n" );
document.write( "{4, 1}<BR>\n" );
document.write( "{4, 2}<BR>\n" );
document.write( "{4, 3}<BR>\n" );
document.write( "{4, 4}<BR>\n" );
document.write( "{4, 5}<BR>\n" );
document.write( "{4, 6}<BR>\n" );
document.write( "{5, 1}<BR>\n" );
document.write( "{5, 2}<BR>\n" );
document.write( "{5, 3}<BR>\n" );
document.write( "{5, 4}<BR>\n" );
document.write( "{5, 5}<BR>\n" );
document.write( "{5, 6}<BR>\n" );
document.write( "{6, 1}<BR>\n" );
document.write( "{6, 2}<BR>\n" );
document.write( "{6, 3}<BR>\n" );
document.write( "{6, 4}<BR>\n" );
document.write( "{6, 5}<BR>\n" );
document.write( "{6, 6}\r<BR>\n" );
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document.write( "This is the entire set of possible outcomes. For example, {4, 6} means rolling a 4 first, then a 6 next. \r<BR>\n" );
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document.write( "Often it's handy to write in a table form like you see below. The table makes things more compact and readable. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://i.stack.imgur.com/9CoBC.gif\"><BR>\n" );
document.write( "Source: <a  rel=nofollow HREF= \"http://math.stackexchange.com/questions/598808/if-you-roll-a-fair-six-sided-die-twice-whats-the-probability-that-you-get-the\">http://math.stackexchange.com/questions/598808/if-you-roll-a-fair-six-sided-die-twice-whats-the-probability-that-you-get-the</a>\r<BR>\n" );
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document.write( "------------------------------------------------------------------------------------------------------------------------\r<BR>\n" );
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document.write( "Now let's focus on the outcomes where the sum of the two rolls gets 9. Those outcomes are...\r<BR>\n" );
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document.write( "{3, 6}<BR>\n" );
document.write( "{4, 5}<BR>\n" );
document.write( "{5, 4}<BR>\n" );
document.write( "{6, 3}\r<BR>\n" );
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document.write( "Eg: {3,6} means we rolled a 3 first and then a 6. The sum of the roll is 3+6 = 9.\r<BR>\n" );
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document.write( "Final Answer: there are <font color=red size=5>4</font> ways to roll a 9 </SPAN>\n" );
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