this post was submitted on 19 Aug 2023
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Overthinking it is exactly what leads to the solution "no" imo. If you say no every time, then you can only possibly be correct 1/3 of the time since it's a 1/3 chance of picking the correct door. Hence 2/3 of the time you picked incorrectly and hence should switch. By design if you pick incorrectly then the switched door will be the correct solution