Re: monty hall problem
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Note that those *aren't* the conditions that applied to the classical Monty Hall problem - in which the host DID know where the prize was, and ALWAYS exposed a goat. Under those conditions, your chance was indeed 1/3 if you stayed and 2/3 if you switched.
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1/3 for the initial choice because (before the goat door is open) it is 1/3 to have the prize - and the probability doesn't change given the goat door opening?
2/3 for switching because 1-1/3 = 2/3?
I just want to clarify this (cause my upper-year prof in econ said it would be 1/2 to switch and I told him that didn't make any sense).
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