Sure. In a game show that methodology cannot be applied. The host cannot open a door using chance in case they pick the winner.
But outside of a game show, say as a puzzle in a book, the idea holds that:
- If you have chosen a door
- And an alternative door is opened without success
- Then the probabilities of whether you should stick or switch depend on whether the alternative door was opened through knowledge or chance.
RE: Would you switch?