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Dice (singular: die) are typically small cubical objects marked with spots, numbers (1-6 usually) or symbols to generate random outcomes, particularly in games. Other polyhedral dice are also used in games.

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How to calculate the probability of the outcome of this convoluted dice rolling mechanic?

A player has a dice pool, based on some mechanic in the game irrelevant to this question. A dice pool is a variable number of dice a player may roll. … The dice have 10 sides labeled 1 through 10 inclusive (Called a 'd10' in our domain terminology) When rolling dice, there is a target number, or difficulty number. …
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