5 ms·
Not enough information. You need to know that he will always open an empty door that isn't the one you picked. If that is the case. You can easily diagram the
by confidantlake 4y ago
Not enough information. You need to know that he will always open an empty door that isn't the one you picked.
If that is the case. You can easily diagram the 9 different possibilities (you pick one of 3 doors x the car is behind one of 3 doors), and what happens if you switch.
- naniwaduni 4y agoUnless the host decides whether to open an unopened door based on whether you already picked a prize door, it's sufficient to know that the door he opened is a non-prize door that you didn't pick. To be clear, the "trick" is that the inference is invalid if the host is differently to open a door if you picked a non-prize door, with crossover where the host is more than twice as likely to open a door if you pick a non-prize door.