> Yesterday I asked chatgpt to compute the probability that two words of five letters both began with the same three letters and it could not solve it.

IMO, this is irrelevant, because "normal people" would never ask this question. Because it has never been asked, there's also not a ChatGPT answer to it, because its answers are based on already existing information.

This thinking that ChatGPT is AI is just wrong. It's not AI, nor GI, so stop comparing it with that.

As a human, I can destroy your problem/question with one claim: you claim that the words must be built on the English alphabet. Let's throw some Æ, Ø and Å in there, shall we?

Can YOU solve that problem?