To be exact, we tend to succeed twenty-four point five percent more often than the statistics would otherwise indicate

Well... not quite. The selection effect makes the survival number basically impossible to calculate, but regularly surviving risky scenarios seems like it would provide a bit better odds for the influence of moxie than 249:200.

Fun Bayes application: what's the likelihood ratio for the existence vs. nonexistence of moxie-based immunity to death during battle for military leaders, given the military history of Earth?