When I was in high school, I got interested in TTRPGs (GURPS if anyone is interested). I quite liked playing around with dice, and with the most common roll being the 3d6 I got quite interested in how the probabilities for each roll are calculated. I knew that somehow one would calculate the odds for each possible result - people had done so already; but I was wondering if it was possible to find an explicit formula for each value.
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