Monty Hall's Counterintuitive Probability
In the Monty Hall problem, switching doors after a reveal triples your win probability from 1/3 to 2/3. Initially equal odds hide the host's knowledge bias. Simulations confirm: staying wins 33%, switching 67%.
💡 Fun detail:
Generalized to 100 doors, switching yields 99% odds, exposing human misjudgment of conditional probability.
Source: Journal of Economic Perspectives