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This could be better improved by removing the extremes and make it conform more to a bell curve.
Instead of 3 of each card have only a single 1 and 6, only two x 2 and 5 cards.
This balances out the whole problem associated with luck in this game which creates such extremes in movement.
Of course you could just use an Average Die which has no 1 or 6, instead it has 2, 3, 3, 4, 4, 5.
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