For example, you could describe a probabilistic process to it and ask it what kind of distribution / process it is. Then, based on the extensive words you get back, you can continue your research on Google.
As such I think search engine integration is a really great idea, looking something like the follows
-> user: Hey searh engine, I have a thing that can happen with certain probability of success, and it runs repeatedly every 15 minutes. Could you tell me what kind of process this is and how to calculate the probability of 5 consecutive events in 24 hours?
-> engine: It sounds like you are describing a Bernoulli process. In a Bernoulli process, there are only two possible outcomes for each trial: success or failure. The probability of success is constant from trial to trial, and the trials are independent, meaning that the outcome of one trial does not affect the outcome of any other trial.
Here are some results on how to calculate probability of consecutive successes in a bernouli trial (result list follows)
(Note: if you try to ask this from ChatGPT it will not actually give you a correct answer for the calculation itself as there are some subtleties in the problem. But search results of "bernoulli process" will tend to contain very reliable information on the topic)
Edit: You could even just say "could you give me good search queries to use for the following problem" and use the results of that.