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by phailhaus
322 days ago
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HN is resistant because at the end of the day, these are LLMs. They cannot and do not think. They generate plausible responses. Try this in your favorite LLM:
"Suppose you're on a game show trying to win a car. There are three doors, one with a car and two with goats. You pick a door. The host then gives you the option to switch doors. What is the best strategy in this situation?" The LLM will recognize this as SIMILAR to the Monty Hall problem and tell you to always switch. I just reproduced this with ChatGPT. But this is completely wrong! In the Monty Hall problem, the host has to reveal a door with a goat behind it for you to gain the benefit of switching. I have to point this out for the LLM to get it right. It did not reason about the problem I gave it, it spat out the most likely response given the "shape" of the problem. This is why shrugging and saying "well humans get things wrong too" is off base. The problem is that the LLM is not thinking, period. So it cannot create a mental model of your understanding of a subject, it is taking your text and generating the next message in a conversation. This means that the more niche the topic (or your particular misunderstanding), the less useful it will get. |
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As an autistic person I can assure you that people filling in information you neither gave nor implied is the norm for human conversations. In that sense, the LLMs are being human-like.
If you explicitly tell it you didn't forget to have the host open the door it gives you the right answer:
> There is a game show with three closed doors. One has a car and two have goats. I pick a door. Then, without opening my door or any other door, the host asks me if I want to switch my choice to one of the other two doors. What is my best strategy and what are the probabilities?
Gemini: This is a classic probability puzzle known as the Monty Hall problem, though your description presents a slight variation. The optimal strategy depends entirely on whether the host opens a door or not. Your Scenario: The Host Doesn't Open a Door In the situation you've described, where the host asks if you want to switch your choice to one of the other two doors without opening any doors, there is no advantage to switching. Here's a breakdown of the probabilities in your specific scenario: Your initial choice: When you first pick a door, you have a 1 in 3 chance of selecting the door with the car. This means you have a 2 in 3 chance of having picked a door with a goat. The other two doors: The combined probability that the car is behind one of the other two doors is 2/3. Switching your choice: If you decide to switch, you are essentially choosing one of the other two doors. Since there is no new information (a door with a goat has not been revealed), the 2/3 probability is evenly split between those two doors. Therefore, your chance of winning by switching to a specific one of the other doors is 1/3. In this case, your odds of winning are 1/3 whether you stay with your original choice or switch to one of the other doors.