That said, that some people will do incomplete analysis is not an argument against doing any analysis.
I didn't read @Silly Bubbles 's comment as a criticism of doing "theoretical calculations", but rather as an implicit criticism against the premises on which they were based. Typically developing theory for a complex or ambiguous problem requires some simplifying assumptions first. Theoretical predictions should be tested against reality to help verify those assumptions.
Instead, I'll respond with a more general question back: Do you think that your request for a mathematical computation is impossible? Is the implementation of the game, a programmed algorithm of mathematical computations with RNG elements, unknowable?
I'm reading this is a philosophical (rather than practical) question. It has been established that mathematical provability has limits, and that not everything can be calculated. See: Godel's Incompleteness Theorems