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This is something that's come up for me recently, and I honestly don't know how to deal with it, so I'm hoping somebody here may be able to help.
I game that I play has a system that involves randomized stat gains - characters gain 1, 2 or 3 points in a stat with each level; equal chance of each random roll. How would I find the probability of any given end result after x amount of levels? I'm only interested in the total gains, so any base value can be ignored here.
A formula that's simple enough to type into a spreadsheet or calculator would be ideal.
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