That extra information is an assumption that is supposed to be based on your knowledge of how game shows work. In fact based on Monty's knowledge and motivations it is possible that you want to switch (Monty knows where the car is and always shows a goat), it doesn't matter (Monty doesn't know where the car is), or you should stick with your choice (Monty knows where the car is and is trying to keep you from getting it).
In reply to Re^3: Marilyn Vos Savant's Monty Hall problem
by tilly
in thread Marilyn Vos Savant's Monty Hall problem
by mutated
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