Re: Precision...
I think there's some value in leaving the inner workings of the game occult. Knowing everything about a game's statistical underpinnings transforms it into more of a system of equations that can be solved via computation. Leaving some things out makes the fantasy more vivid and forces you to actually experiment--just like you would in the real world. Generals in the real world didn't calculate the "probability" of an archer hitting a target at a given range. They simply had to trust in the training of their troops and order them to fire at an opportune moment 
More Math = Less Magic
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"Let your plans be dark and as impenetratable as night, and when you move, fall like a thunderbolt." -- Sun Tzu
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