Imagine a world where you are inside one of the doors and a hungry ogre is picking. They pick one of the other doors. Do you want them to switch? You of course do not.
This happens 2/3 of the time.
If they pick your door, you desperately want them to switch.
This happens 1/3 of the time.
This happens 2/3 of the time.
If they pick your door, you desperately want them to switch.
This happens 1/3 of the time.
Comments
The other thing to do to try to understand the dynamics is to imagine a world in which you have 10 doors, or 100 doors.