document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=191806>Question 191806</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Nonstandard dice can produce interesting distributions of outcomes. You have two balanced,<BR>\n" );
document.write( "six-sided dice. One is a standard dice, with faces having 1,2,3,4,5 and 6 spots. The other die<BR>\n" );
document.write( "has three faces with 0 spots and three faces with 6 spots. Find the probability distribution<BR>\n" );
document.write( "for the total number of spots Y on the up-faces when you roll these two dice.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #143917 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=143917\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Nonstandard dice can produce interesting distributions of outcomes. You have two balanced, six-sided dice. One is a standard dice, with faces having 1,2,3,4,5 and 6 spots. <BR>\n" );
document.write( "The other die has three faces with 0 spots and three faces with 6 spots. <BR>\n" );
document.write( "Find the probability distribution for the total number of spots Y on the up-faces when you roll these two dice.<BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "Sample Space:<BR>\n" );
document.write( "1 with a 0 ; 3 times : spots = 1<BR>\n" );
document.write( "2 with a 0 ; 3 times:  spots = 2<BR>\n" );
document.write( "3 with a 0 ; 3 times : spots = 3<BR>\n" );
document.write( "etc,\r<BR>\n" );
document.write( "\n" );
document.write( "1 with a 6 ; 3 times : spots = 7<BR>\n" );
document.write( "2 with a 6 ; 3 times : spots = 8<BR>\n" );
document.write( "3 with a 6 ; 3 times : spots = 9<BR>\n" );
document.write( "etc<BR>\n" );
document.write( "==============================<BR>\n" );
document.write( "Spots distribution<BR>\n" );
document.write( "3 each of 1,2,...6<BR>\n" );
document.write( "3 each of 7,8,...12<BR>\n" );
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document.write( "spots/probability<BR>\n" );
document.write( "1 / 3/36<BR>\n" );
document.write( "2 / 3/36<BR>\n" );
document.write( "3 / 3/36<BR>\n" );
document.write( "etc<BR>\n" );
document.write( "7 / 3/36<BR>\n" );
document.write( "8 / 3/36<BR>\n" );
document.write( "9 / 3/36<BR>\n" );
document.write( "etc<BR>\n" );
document.write( "===============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );