Totally unrelated, but this reminds me of my favorite title of a math article: "How often should you beat your kids?" (it's about a certain simple combinatorial game)

https://people.mpim-bonn.mpg.de/zagier/files/math-mag/63-2/f...

(My favorite line: "Levasseur analyzes the game and shows that on average you will have a score of n + (sqrt(pn) - 1)/2 + O(1/sqrt(n)) while the kid will have exactly n. We maintain, however, that only the most degenerate parent would play against a two-year-old for money, so the question should be not by how much you expect to win, but with what probability you will win at all.")