From: Ted Hung <tsh5@duke.com>
  To  : 
  Date: Mon, 29 Mar 1999 18:34:18 -0800

Re: rounds per game to win

That would be extremely low...  In other words,
you can obtain 100 points with rolling 1 or less
1s.  Given that each roll of the die gives you
1/6th of a chance of getting a 1, the following
equation should compute the probability of getting
a 1 in any given two die rolls.

Probability of getting a 1 in a two rolls =
     chance of 1 rolled on first die only +
     chance of 1 rolled on 2nd die only +
     chance of rolling two 1s
=   (1/6  *  5/6) + (1/6 * 5/6) + (1/6 * 1/6) = 5/36 + 5/36 + 1/36 = 11/36

Thus, a little less than 1/3 of your rounds should be either resetting your
entire score, or making you lose your points for the round.

Considering you can only roll a max of 12 during each roll, it
would at least take you 9 rolls of two die.  Thus, even in the
best case scenario, there would have to be at least 8 rolls.  The
likelihood of all of those eight rolls not being 1 is highly improbable.
If there is something wrong with this
calculation, just tell me.  BTW, mine keeps on giving me about
17 rounds.

Ted Hung

>I was just wondering about peoples strategies.  How many rounds per game
>does it take for you respective players to win?  Mine is about 1.75 rounds
>per game but I think there is something wrong with that.  Any thoughts on
>the lower limit on rounds per game?
>
>-Donnie
>
>