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by SamBam 2077 days ago
Because it really centers on the initial premise: Monty will always open a goat door after your choice, no matter what.

So, you make a totally random choice. That choice must be 1/3 right, right? Now the thing that you already knew would definitely happen happens: Monty opens a goat door. How can your odds suddenly jump to 1/2?

Are you saying every single time you play the game, you always have a 1/2 chance of getting it right first time?