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Hi Bob
Is 66 a bad down if you are not holding the 03 or the 33 ? Or if you are holding the 63,30 ! But strategy is not the issue I want to analyse the 66 down.
What I want to show is that should you go down with 66 and not hold these dominos 03,33 thereby giving your partner the oppotunity to hold them 2:1 how do the scores of all possibilities add up. i.e. are scores fairly even. This would prove that 66 down is not such a dumb move in certain circumstances.
The rules I play to are downs taken in turn
Any domino can start
4 players as partners
I started as per your diagram but it must run into hundreds if not thousands of possible first round of play
If you want to play I helped this guy with strategy for his software
http://www.sadmansoftware.com/fivesandthrees/
Hi
I have to confess to having failed to solve this problem that has puzzled me regarding dominoes.
I was playing a game with a double 6 set of dominoes called Fives and Threes with 3 friends
The essence of the game is that any ends that can be divided by 3 or/and 5 give points e.g. double six with a 63 attached adds to 15 so = 8 points as it is divided by both 5 and 3 but that information is for interest only at this stage, but what I would like to know is how to calculate the number of possible permutations of the first 4 dominoes can be played following the first player placing the double 6 as the starting domino. e.g one would be 66 then 65 then 53 then 33 how many others are there ?
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