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If there are infinite number of doors, then does switching guarantee us the car? Also, Game 5: There are 2 doors. A car is randomly placed behind one, and goat
by eithed 6y ago
If there are infinite number of doors, then does switching guarantee us the car?
Also, Game 5:
There are 2 doors. A car is randomly placed behind one, and goats behind the others.
You pick one door.
Monty looks behind the other doors. He chooses 0 of them with goats behind them, and opens them.
You get two options:
Option A: You get whatever is behind the door you picked.
Option B: You get whatever is behind the other closed door.
Should you switch?
- meatmanek 6y agoIf Monty opens all infinity-minus-two doors except for your initial choice and the one with the car, then switching almost surely[1] gives you a car. 1. https://en.wikipedia.org/wiki/Almost_surely https://en.wikipedia.org/wiki/Almost_surely
- eithed 6y agoIt's counterintuitive, as magically the car appears behind the door that Monty chose. But tbf chances of it being behind the door you've chosen were 0 to begin with.