Think of each new ‘interaction’ with the LLM as having two things that can change: the context and the PRNG state. We can also think of the PRNG state as having two things: the random seed (which makes the output sequence), and the index of the last consumed random value from the PRNG. If the context, random seed, and index are the same, then the LLM will always give the same answer. Just to be clear, the only ‘randomness’ in these state values comes from the random seed itself.
The LLM doesn’t make any randomness, it needs randomness as an input (hyper)parameter.