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Old 01-30-2005, 10:31 AM
MickeyHoldem MickeyHoldem is offline
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Join Date: Oct 2004
Posts: 26
Default Re: Game at local bar

OK... if you have to stand pat once you get a 6,5,4...

you will score 11 or better only 5.4967% of the time, so with 4 players to roll you are about a 4 to 1 favorite.

The solution was lengthy...
Here's some of the numbers I used...
rolling 5 dice...
7776 possible combinations
3125 contain no 6
2101 contain a 6 but no 5
1320 contain a 6,5 but no 4
1230 contain 6,5,4 but only 50 of these score 11 or 12

rolling 4 dice (after getting a 6)
1296 possible combinations
625 contain no 5
369 contain a 5 but no 4
302 contain 5,4 but only 24 score an 11 or 12

rolling 3 dice
216 possible combinations
125 contain no 4
91 contain a 4 but only 9 score an 11 or 12
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