# Student's game night

• Daniel: Delves a bit more into some theory behind the problem, the central limit theorem, and the expected distribution of the sample standard deviation $$s^2$$.

• June: A thorough dissection of where we have an advantage over the pub -- including a bonus section at the end with 3D visualizations.

• Sean: My version includes some background about the difference between a population standard deviation and a sample standard deviation, and what Python functions actually calculate; and a riff on the sordid history of betting on mis-estimated tail probabilities, the Black-Scholes equation for options pricing in mathematical finance, and a story a Bayesian statistician once told me about how he lost a bunch of money on an asymptotically sure thing.