There’s 3 doors: [?], [?], [?]. One of them has a car, the other two have goats.
There’s 3 universes:
Universe 1: [C], [G], [G]
Universe 2: [G], [C], [G]
Universe 3: [G], [G], [C]
You choose door 1: [X], [?], [?]. Monty, the gameshow host, now opens a door that’s not the car.
Universe 1: [X], [G], [G] where Monty opens door 2 or 3.
Universe 2: [X], [C], [G] where Monty opens door 3.
Universe 3: [X], [G], [C] where Monty opens door 2.
In 2 of the 3 universes, universes 2 and 3, the car is behind the door you didn’t choose, which is why you should switch.
Note that in a gameshow like Deal or No Deal where this “that’s not the car” contigency doesn’t exist, it doesn’t matter if you switch at the end or not.
Latest Answers