Quite nice. Probability can be hard, and sometimes the correct intuition has to be found and/or cultivated.
As TFA says, "The interesting thing is that many people wouldn’t accept a mathematical argument, but found a simulation persuasive."
As TFA says, "The interesting thing is that many people wouldn’t accept a mathematical argument, but found a simulation persuasive."
Yet for some reason a 2/3 chance you can play the game with 50-50 odds is harder to accept - in particular I have to consider the 10 door case to understand why the 3 door case makes sense. I suspect it has to do with the psychology of loss aversion: a 1/3rd chance that you incorrectly switched "feels like" a reckless risk.