The Monty Hall problem supposedly even confused Paul Erdos (famous mathematician) who even rejected it after given a statistical proof. He didn't accept the an

The Monty Hall problem supposedly even confused Paul Erdos (famous mathematician) who even rejected it after given a statistical proof. He didn't accept the answer until stepping through a computer simulation so if it seems unintuitive, you're in good company. This problem is, in lore, claimed to trip up more nobel laureates then most problems because it's so counter intuitive to not notice the conditional probability and injected information from Monty.