document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=448418>Question 448418</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am having trouble determining an effective way of calculating probability of certain scores given a variable scoring system\r<BR>\n" );
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document.write( "Say you roll 6 standard dice that has a scoring system of the following for whichever numbers you roll:\r<BR>\n" );
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document.write( "roll a 1 - 1 point each\r<BR>\n" );
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document.write( "roll a 2 - 2 points each\r<BR>\n" );
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document.write( "roll a 3 - 3 points each IFF there are no 4s present, otherwise zero<BR>\n" );
document.write( "roll a 4 - 4 points each IFF there are no 3s present, otherwise zero\r<BR>\n" );
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document.write( "ex: rolling four 3s, one 2, and one 4 will give you a total of 2.  Since there were both 3s and 4s, you cannot earn points for them.  Therefore you only earned points for the 2.\r<BR>\n" );
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document.write( "roll a 5 - value increases per number of 5s rolled <BR>\n" );
document.write( "ex: <BR>\n" );
document.write( "roll one 5 - 1 point<BR>\n" );
document.write( "roll two 5s - 2 points each<BR>\n" );
document.write( "roll three 5s - 3 points each, and so on...\r<BR>\n" );
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document.write( "roll a 6 - negative 2 points each\r<BR>\n" );
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document.write( "I decided to ask the question:  What is the probability of rolling all 6 dice and getting a negative score?\r<BR>\n" );
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document.write( "Although a full solution would be terrific, I am simply looking for some insight as to how you can incorporate a scoring system into some sort of equation.\r<BR>\n" );
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document.write( "If anything is unclear please post a reply.\r<BR>\n" );
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document.write( "Thanks in advance! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #308546 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=308546\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The best way to do this is to write a program to cover the 6^6=46,656 different probabilities and track the scores. This would give an exact answer in less than a minute. It would take less than a day to write and debug if you are a pretty good amateur programmer.<BR>\n" );
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document.write( "Ed </SPAN>\n" );
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