The best way that I've thought about it is like this:
You pick a door, then Monty let's you switch to the two remaining doors and if the car is behind either of them you win.
Obviously choosing the two remaining doors is better.
The trick is to realize that Monty showing you the contents of one door and letting you choose the other one is identical to Monty letting you choose both the remaining doors.
You pick a door, then Monty let's you switch to the two remaining doors and if the car is behind either of them you win.
Obviously choosing the two remaining doors is better.
The trick is to realize that Monty showing you the contents of one door and letting you choose the other one is identical to Monty letting you choose both the remaining doors.