[aristidb]

GPT 4 gave me this answer:

In this variant of the Monty Hall problem, since all the doors are transparent, you can clearly see what is behind each door. This changes the nature of the problem entirely. The element of uncertainty, which is present in the original Monty Hall problem, is no longer a factor.

In this scenario, if you pick door No. 1 and see a car behind it, you should stick with your choice, as there is no advantage to switching. If you pick door No. 1 and see a goat behind it, you should switch to door No. 2, as you can clearly see the car behind it.

Since you can see what's behind the doors, the probability of winning the car is no longer based on conditional probability, and the original Monty Hall paradox does not apply. Instead, your decision is simply based on your observation of what's behind each door.

[versteegen]

Somehow, this would be one of the most impressive things I've read about GPT-4. It's really difficult to argue that it has well-founded understanding of the question, assuming, of course, that this wasn't actually in its training set.

And I see someone DID ask GPT-3.5-based ChatGPT the same question at least a month ago [1], so OpenAI certainly has it on record. That's long enough ago that it could well have been used to fine-tune GPT-4.

[1] https://www.reddit.com/r/bing/comments/117hj14/bing_chat_can...