This is something I'm somewhat unclear about. Can we, for example, ask puzzles that require the use of calculus to solve? What about more sophisticated mathematical methods? Or should such questions be reserved for Math.SE?
I don't see why using advanced mathematics would disqualify any questions. Not every user has to understand every question and answer. In fact, I think some of the more enlightening answers about probabilities and distributions of puzzle types will require such advanced mathematics.