[throwawaymaths]

Anyways, this is all immaterial to the original question, which is if LLMs can do randomness [for single user with a given query], so from a practical standpoint the question itself needs to survive "all things being equal", that is is to say, suppose I stand up an LLM on my own GPU rig, and the algorithmic scheduler doesn't do too many out of order operations (very possible depending on the ollama or vllm build).