She showed me the result and I immediately saw the logical flaws and pointed them out to her. She pressed the model on it and it of course apologized and corrected itself. Out of curiosity I tried the prompt again, this time using financial jargon that I was familiar with and my wife was not. The intended meaning of the words was the same, the only difference is that my prompt sounded like it came from someone who knew finance. The result was that the model got it right and gave an explanation for the reasoning in exacting detail.
It was an interesting result to me because it shows that experts in a field are not only more likely to recognize when a model is giving incorrect answers but they're also more likely to get correct answers because they are able to tap into a set of weights that are populated by text that knew what it was talking about. Lay people trying to use an LLM to understand an unfamiliar field are vulnerable to accidentally tapping into the "amateur" weights and ending up with an answer learned from random Reddit threads or SEO marketing blog posts, whereas experts can use jargon correctly in order to tap into answers learned from other experts.