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What if he used the knowledge to decide whether or not to open a door and offer you the choice? I think that scenario is why most people instinctively want to not switch (even if they aren't consciously aware of it), so it's a pity to disregard it.


People instinctively want not to switch because the probabilities involved aren't intuitive.

Notice if Monty uses the knowledge of whether to open the door based on what you choose, he'd be giving the whole game away, so that's not it.




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