On "Wisely Using Your Advantage"

Enough politics: let’s talk about probability. The Quantum Pontiff has a delightful piece up about “Gambler’s ruin”:

Gambler’s ruin is one of my favorite basic probability exercises… Suppose you have access to a game in which you have a slight advantage in winning… [W]hat is your probability of ruin, given a starting bankroll of D dollars, an advantage of p, and a target of T dollars?

The math isn’t too hard, but the results are surprising. Check it out.