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GPT-4 responses. -- First variant -- Since all the doors are transparent in this variant of the Monty Hall problem, you can already see what is behind each do
by fastball 4y ago
GPT-4 responses.
-- First variant --
Since all the doors are transparent in this variant of the Monty Hall problem, you can already see what is behind each door when making your initial choice. Therefore, there is no need to rely on probability or switching strategies to maximize your chances of winning the car.
In this case, you simply choose the door with the car visible behind it. The host's action of opening another door and offering you the chance to switch doesn't provide any new information or change the odds, as you can already see the contents of each door.
-- Explicit variant --
In this particular case, since the doors are transparent and you can see that the car is behind door number one, you should stick with your original choice. There is no need to switch doors as the probability of winning the car by staying with door number one is 100%. The Monty Hall problem typically assumes that the doors are not transparent and that the contents behind them are unknown to the contestant.