this post was submitted on 19 Aug 2023
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So essentially like this:
Original door has 33% chance of being good, compared to 66% chance of the other 2 doors
One of other two doors are opened by Monty, because he's a swell guy!
The two doors still have a 66% chance of being good, but since one of them is now opened, that 66% chance now only applies to the one other door
Ergo there's a 66% chance that if you switch doors, you'll pick the right door