document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1062142>Question 1062142</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Three fair six-sided number cubes, each with faces labeled 0,2,4,6,8,10 are all rolled. What is the probability that the sum of the numbers rolled is greater than 20? Express your answer with 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 #676960 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=676960\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Here's a list of all possible outcomes, 3 face values and sum.<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".\r<BR>\n" );
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document.write( "0	0	0	0<BR>\n" );
document.write( "0	0	2	2<BR>\n" );
document.write( "0	0	4	4<BR>\n" );
document.write( "0	0	6	6<BR>\n" );
document.write( "0	0	8	8<BR>\n" );
document.write( "0	0	10	10<BR>\n" );
document.write( "0	2	0	2<BR>\n" );
document.write( "0	2	2	4<BR>\n" );
document.write( "0	2	4	6<BR>\n" );
document.write( "0	2	6	8<BR>\n" );
document.write( "0	2	8	10<BR>\n" );
document.write( "0	2	10	12<BR>\n" );
document.write( "0	4	0	4<BR>\n" );
document.write( "0	4	2	6<BR>\n" );
document.write( "0	4	4	8<BR>\n" );
document.write( "0	4	6	10<BR>\n" );
document.write( "0	4	8	12<BR>\n" );
document.write( "0	4	10	14<BR>\n" );
document.write( "0	6	0	6<BR>\n" );
document.write( "0	6	2	8<BR>\n" );
document.write( "0	6	4	10<BR>\n" );
document.write( "0	6	6	12<BR>\n" );
document.write( "0	6	8	14<BR>\n" );
document.write( "0	6	10	16<BR>\n" );
document.write( "0	8	0	8<BR>\n" );
document.write( "0	8	2	10<BR>\n" );
document.write( "0	8	4	12<BR>\n" );
document.write( "0	8	6	14<BR>\n" );
document.write( "0	8	8	16<BR>\n" );
document.write( "0	8	10	18<BR>\n" );
document.write( "0	10	0	10<BR>\n" );
document.write( "0	10	2	12<BR>\n" );
document.write( "0	10	4	14<BR>\n" );
document.write( "0	10	6	16<BR>\n" );
document.write( "0	10	8	18<BR>\n" );
document.write( "0	10	10	20<BR>\n" );
document.write( "2	0	0	2<BR>\n" );
document.write( "2	0	2	4<BR>\n" );
document.write( "2	0	4	6<BR>\n" );
document.write( "2	0	6	8<BR>\n" );
document.write( "2	0	8	10<BR>\n" );
document.write( "2	0	10	12<BR>\n" );
document.write( "2	2	0	4<BR>\n" );
document.write( "2	2	2	6<BR>\n" );
document.write( "2	2	4	8<BR>\n" );
document.write( "2	2	6	10<BR>\n" );
document.write( "2	2	8	12<BR>\n" );
document.write( "2	2	10	14<BR>\n" );
document.write( "2	4	0	6<BR>\n" );
document.write( "2	4	2	8<BR>\n" );
document.write( "2	4	4	10<BR>\n" );
document.write( "2	4	6	12<BR>\n" );
document.write( "2	4	8	14<BR>\n" );
document.write( "2	4	10	16<BR>\n" );
document.write( "2	6	0	8<BR>\n" );
document.write( "2	6	2	10<BR>\n" );
document.write( "2	6	4	12<BR>\n" );
document.write( "2	6	6	14<BR>\n" );
document.write( "2	6	8	16<BR>\n" );
document.write( "2	6	10	18<BR>\n" );
document.write( "2	8	0	10<BR>\n" );
document.write( "2	8	2	12<BR>\n" );
document.write( "2	8	4	14<BR>\n" );
document.write( "2	8	6	16<BR>\n" );
document.write( "2	8	8	18<BR>\n" );
document.write( "2	8	10	20<BR>\n" );
document.write( "2	10	0	12<BR>\n" );
document.write( "2	10	2	14<BR>\n" );
document.write( "2	10	4	16<BR>\n" );
document.write( "2	10	6	18<BR>\n" );
document.write( "2	10	8	20<BR>\n" );
document.write( "2	10	10	22<BR>\n" );
document.write( "4	0	0	4<BR>\n" );
document.write( "4	0	2	6<BR>\n" );
document.write( "4	0	4	8<BR>\n" );
document.write( "4	0	6	10<BR>\n" );
document.write( "4	0	8	12<BR>\n" );
document.write( "4	0	10	14<BR>\n" );
document.write( "4	2	0	6<BR>\n" );
document.write( "4	2	2	8<BR>\n" );
document.write( "4	2	4	10<BR>\n" );
document.write( "4	2	6	12<BR>\n" );
document.write( "4	2	8	14<BR>\n" );
document.write( "4	2	10	16<BR>\n" );
document.write( "4	4	0	8<BR>\n" );
document.write( "4	4	2	10<BR>\n" );
document.write( "4	4	4	12<BR>\n" );
document.write( "4	4	6	14<BR>\n" );
document.write( "4	4	8	16<BR>\n" );
document.write( "4	4	10	18<BR>\n" );
document.write( "4	6	0	10<BR>\n" );
document.write( "4	6	2	12<BR>\n" );
document.write( "4	6	4	14<BR>\n" );
document.write( "4	6	6	16<BR>\n" );
document.write( "4	6	8	18<BR>\n" );
document.write( "4	6	10	20<BR>\n" );
document.write( "4	8	0	12<BR>\n" );
document.write( "4	8	2	14<BR>\n" );
document.write( "4	8	4	16<BR>\n" );
document.write( "4	8	6	18<BR>\n" );
document.write( "4	8	8	20<BR>\n" );
document.write( "4	8	10	22<BR>\n" );
document.write( "4	10	0	14<BR>\n" );
document.write( "4	10	2	16<BR>\n" );
document.write( "4	10	4	18<BR>\n" );
document.write( "4	10	6	20<BR>\n" );
document.write( "4	10	8	22<BR>\n" );
document.write( "4	10	10	24<BR>\n" );
document.write( "6	0	0	6<BR>\n" );
document.write( "6	0	2	8<BR>\n" );
document.write( "6	0	4	10<BR>\n" );
document.write( "6	0	6	12<BR>\n" );
document.write( "6	0	8	14<BR>\n" );
document.write( "6	0	10	16<BR>\n" );
document.write( "6	2	0	8<BR>\n" );
document.write( "6	2	2	10<BR>\n" );
document.write( "6	2	4	12<BR>\n" );
document.write( "6	2	6	14<BR>\n" );
document.write( "6	2	8	16<BR>\n" );
document.write( "6	2	10	18<BR>\n" );
document.write( "6	4	0	10<BR>\n" );
document.write( "6	4	2	12<BR>\n" );
document.write( "6	4	4	14<BR>\n" );
document.write( "6	4	6	16<BR>\n" );
document.write( "6	4	8	18<BR>\n" );
document.write( "6	4	10	20<BR>\n" );
document.write( "6	6	0	12<BR>\n" );
document.write( "6	6	2	14<BR>\n" );
document.write( "6	6	4	16<BR>\n" );
document.write( "6	6	6	18<BR>\n" );
document.write( "6	6	8	20<BR>\n" );
document.write( "6	6	10	22<BR>\n" );
document.write( "6	8	0	14<BR>\n" );
document.write( "6	8	2	16<BR>\n" );
document.write( "6	8	4	18<BR>\n" );
document.write( "6	8	6	20<BR>\n" );
document.write( "6	8	8	22<BR>\n" );
document.write( "6	8	10	24<BR>\n" );
document.write( "6	10	0	16<BR>\n" );
document.write( "6	10	2	18<BR>\n" );
document.write( "6	10	4	20<BR>\n" );
document.write( "6	10	6	22<BR>\n" );
document.write( "6	10	8	24<BR>\n" );
document.write( "6	10	10	26<BR>\n" );
document.write( "8	0	0	8<BR>\n" );
document.write( "8	0	2	10<BR>\n" );
document.write( "8	0	4	12<BR>\n" );
document.write( "8	0	6	14<BR>\n" );
document.write( "8	0	8	16<BR>\n" );
document.write( "8	0	10	18<BR>\n" );
document.write( "8	2	0	10<BR>\n" );
document.write( "8	2	2	12<BR>\n" );
document.write( "8	2	4	14<BR>\n" );
document.write( "8	2	6	16<BR>\n" );
document.write( "8	2	8	18<BR>\n" );
document.write( "8	2	10	20<BR>\n" );
document.write( "8	4	0	12<BR>\n" );
document.write( "8	4	2	14<BR>\n" );
document.write( "8	4	4	16<BR>\n" );
document.write( "8	4	6	18<BR>\n" );
document.write( "8	4	8	20<BR>\n" );
document.write( "8	4	10	22<BR>\n" );
document.write( "8	6	0	14<BR>\n" );
document.write( "8	6	2	16<BR>\n" );
document.write( "8	6	4	18<BR>\n" );
document.write( "8	6	6	20<BR>\n" );
document.write( "8	6	8	22<BR>\n" );
document.write( "8	6	10	24<BR>\n" );
document.write( "8	8	0	16<BR>\n" );
document.write( "8	8	2	18<BR>\n" );
document.write( "8	8	4	20<BR>\n" );
document.write( "8	8	6	22<BR>\n" );
document.write( "8	8	8	24<BR>\n" );
document.write( "8	8	10	26<BR>\n" );
document.write( "8	10	0	18<BR>\n" );
document.write( "8	10	2	20<BR>\n" );
document.write( "8	10	4	22<BR>\n" );
document.write( "8	10	6	24<BR>\n" );
document.write( "8	10	8	26<BR>\n" );
document.write( "8	10	10	28<BR>\n" );
document.write( "10	0	0	10<BR>\n" );
document.write( "10	0	2	12<BR>\n" );
document.write( "10	0	4	14<BR>\n" );
document.write( "10	0	6	16<BR>\n" );
document.write( "10	0	8	18<BR>\n" );
document.write( "10	0	10	20<BR>\n" );
document.write( "10	2	0	12<BR>\n" );
document.write( "10	2	2	14<BR>\n" );
document.write( "10	2	4	16<BR>\n" );
document.write( "10	2	6	18<BR>\n" );
document.write( "10	2	8	20<BR>\n" );
document.write( "10	2	10	22<BR>\n" );
document.write( "10	4	0	14<BR>\n" );
document.write( "10	4	2	16<BR>\n" );
document.write( "10	4	4	18<BR>\n" );
document.write( "10	4	6	20<BR>\n" );
document.write( "10	4	8	22<BR>\n" );
document.write( "10	4	10	24<BR>\n" );
document.write( "10	6	0	16<BR>\n" );
document.write( "10	6	2	18<BR>\n" );
document.write( "10	6	4	20<BR>\n" );
document.write( "10	6	6	22<BR>\n" );
document.write( "10	6	8	24<BR>\n" );
document.write( "10	6	10	26<BR>\n" );
document.write( "10	8	0	18<BR>\n" );
document.write( "10	8	2	20<BR>\n" );
document.write( "10	8	4	22<BR>\n" );
document.write( "10	8	6	24<BR>\n" );
document.write( "10	8	8	26<BR>\n" );
document.write( "10	8	10	28<BR>\n" );
document.write( "10	10	0	20<BR>\n" );
document.write( "10	10	2	22<BR>\n" );
document.write( "10	10	4	24<BR>\n" );
document.write( "10	10	6	26<BR>\n" );
document.write( "10	10	8	28<BR>\n" );
document.write( "10	10	10	30<BR>\n" );
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document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Look at all 216 possible outcomes, 35 of them have a sum greater than 20.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=35%2F216 ALIGN=MIDDLE  ALT=\"P=35%2F216\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );