alt Hacker NewsThe only reason people get confused about the Monty Hall problem is that the problem description rarely if ever makes it clear that the host knows where the car is and deliberately chooses a different door.
It's inconceivable (for example) that Paul Erdos, a world class mathematician, would fail to solve this problem if it were actually communicated clearly.
It is incredibly annoying that in the case where the host doesn't know where the car is but opens a goat door anyway, the probability goes back to 50-50