Well, you probably know that people rarely make rational decisions, but did you realize how easy it is to be wrong?
…the additional information skews the odds, and with Cardano’s method you can make a rational, though counterintuitive, decision.
We have all probably “trusted our intuitions” in crucial moments but haven’t had rational explanations for why we did so, or for that matter, we probably don’t have a good definition of what intuition is either.
The Nikzor site has some good fallacies and Marilyn Vos Savant’s (of Parade and Jarvik fame) page has some as well.
*Check out Johnson’s garage band science page if you’re interested in simple experiments, especially to do with electricity.