Part of the game involves battling creatures, which you can capture and collect. When you attempt to capture a new beast, the game will tell you the probability of success. Today as I repeatedly tried (and failed) to capture a monster I wondered: what are the odds that I really have a 39% chance of success (as the game claims), given that it took me over seven attempts to capture?
This is a job for the Binomial Distribution! It turns out that the probability of zero successes in seven attempts is 3.1%. Suspiciously unlikely, but I ended up successfully capturing it on my eighth attempt, so this story has a happy ending.