There exists a dice game known as Dice-10000, with alternative names such as Dix Mille or 6-Dice
The rules are simple, with each player taking turns rolling dice in order to achieve certain combinations to score points to reach the titular 10,000 points.
Exact combinations can vary greatly, but here is an example ruleset:scoring table found on site linked earlier
With each successive roll, dice are taken away until a roll is achieved which fail to score anything, in which case all points are lost for the temporary round, and play passes to the next player.
A player may choose to stop rolling dice at any time and add their temporary points to their point total towards 10000.
What would be a method of determining the optimal strategy for Dice-10000? Moreover, what would be the optimal strategy for Dice-10000?
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