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I feel the same way; I just want some serious confirmation or denial, because sometimes it can significantly affect the outcome of a battle. Not to mention that when you hover your mouse over an enemy stack, it shows the possible damage, and you need to interpret that carefully in the case of a Gaussian distribution. :)
Well, the guard intervals for objects or passages are also set in ranges. Moreover, it's not 20-49, but it could be 35-64, depending on the stats. In that case, the probability will follow a Gaussian distribution, meaning the highest chance will be at the average value. The number of enemies killed by the Death Gaze of a powerful Gorgon is also distributed according to a Gaussian distribution. Apparently, the damage is also distributed in the same way; it's just that when you try to replay the same battle multiple times, for example, in a mini-Naga bank, where a stack of skeletons should deal 220 damage with a range of 65-250 (hypothetically), in order to kill 2 Nagas with one hit, it's not that easy to achieve.