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    Inverted Dice

    Even though no one has given a correct answer to the first question, it is time to ask the second question: What are the chances of achieving each result (1 to 20) with a maximum of three inverted rolls? (This means the dice roller is allowed to reroll none, one, several or all dice two times, if necessary).


    This question is hard. Start with this: Is it at all possible to deduct such a formula analytically?

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