The one thing I love with Monte-Carlo is the way you can use it very simply to give yourself some peace of mind that your probability formula for a finite distr

The one thing I love with Monte-Carlo is the way you can use it very simply to give yourself some peace of mind that your probability formula for a finite distribution, derived with sweat and blood using very complicated combinatorics (the kind found in here: https://www.csie.ntu.edu.tw/~r97002/temp/Concrete%20Mathematics%202e.pdf https://www.csie.ntu.edu.tw/~r97002/temp/Concrete%20Mathemat...) actually works.