document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=628826>Question 628826</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Dice question.  Not a math wiz so please excuse my lack of correct terms:\r<BR>\n" );
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document.write( "Probability of rolling 12 using a pair of dice is 1/36<BR>\n" );
document.write( "Probability of rolling 12 three times is a row is 1/36 x 1/36 x 1/36 = 1/1296 or 0.000771605\r<BR>\n" );
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document.write( "I was complaining about a the online backgammon site's dice generator rolling double sixes three times in a row all the time ex: 3 times I have rolled double six/double six/double six within a 25 total rolls.  To my mind the probability of that event is very low;  however, the person I was discussing it with said that the 1/1296 is the only number that applies.  \r<BR>\n" );
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document.write( "Question is whether the odds of rolling 3 sets of double 6's after just completing the feat as the same as 1/1296 or if the previous event needs to be included.  Follow up would be if after rolling 3 sets of double sixes 3 times in a row, two successive times in a row, what are the odds of a third time?  \r<BR>\n" );
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document.write( "Thanks for helping with our dinner discussion. \r<BR>\n" );
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document.write( "to clarify.  I mean rolling 6 6  / 6 6  /  6 6  over three consecutive rolls   multiple times within a small amount of rolls. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #395882 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=395882\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Dice question.  Not a math wiz so please excuse my lack of correct terms:\r<BR>\n" );
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document.write( "Probability of rolling 12 using a pair of dice is 1/36<BR>\n" );
document.write( "Probability of rolling 12 three times is a row is 1/36 x 1/36 x 1/36 = 1/1296 or 0.000771605 <BR>\n" );
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document.write( "1/36 x 1/36 x 1/36 = 1/46656 =~ 0.000021433<BR>\n" );
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document.write( "I was complaining about a the online backgammon site's dice generator rolling double sixes three times in a row all the time ex: 3 times I have rolled double six/double six/double six within a 25 total rolls.  To my mind the probability of that event is very low;  however, the person I was discussing it with said that the 1/1296 is the only number that applies.<BR>\n" );
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document.write( "Question is whether the odds of rolling 3 sets of double 6's after just completing the feat as the same as 1/1296 or if the previous event needs to be included.  Follow up would be if after rolling 3 sets of double sixes 3 times in a row, two successive times in a row, what are the odds of a third time?<BR>\n" );
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document.write( "Each roll is an independent event, the history is not relevant.<BR>\n" );
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document.write( "If 6's come up a lot, it could be that the \"random\" number generator is not good.  Making computers generate random number is not easy, but some are better than others.<BR>\n" );
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document.write( "Thanks for helping with our dinner discussion. \r<BR>\n" );
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document.write( "to clarify.  I mean rolling 6 6  / 6 6  /  6 6  over three consecutive rolls   multiple times within a small amount of rolls. </SPAN>\n" );
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