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You're actually asking two questions: How can I design a function that computes a result on a dice roll that gives asymptotically decreasing benefit to adding more dice? How can I have a system where adding more dice doesn't lead to a predictable result? The first question is simple. A trivial answer is to take the highest die, or highest X dice. ...


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You might also consider having good and bad results from a roll. For instance, Blades in the dark uses d6, but a 1 is a failure, 4-5 a success, and 6 a crit. But if you have more fails than successes (critical or otherwise) it's a critical failure. Otherwise every fail cancels a success. More dice is generally good, but it's possible to fail worse as well as ...


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For every x number of dice, one of them e.g. a different coloured one, counts negative to the total. It's still random and won't have a huge impact if x is set sensibly.


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