Your question is valid. I think the person is just using bombastic words for something already well-known and simpler. A Markov Chain is just a FSM with probabi

Your question is valid. I think the person is just using bombastic words for something already well-known and simpler. A Markov Chain is just a FSM with probabilistic transition functions and in the limit is just a deterministic FSM when the transition function probability becomes 1.