Explanation:
Deterministic: In a deterministic system, every action or event has a predictable outcome. Given the initial conditions, the subsequent state or behavior of the system can be precisely determined. It follows strict rules or laws, and there's no randomness involved. For example, classical physics often operates deterministically; if you throw a ball with a certain force and angle, you can predict its trajectory precisely.
Probabilistic: In contrast, a probabilistic system involves randomness or uncertainty in its outcomes. Even with the same initial conditions, the result may vary due to inherent randomness in the system. Probability theory is used to describe and predict the likelihood of different outcomes rather than providing exact predictions. Quantum mechanics is an example where probabilistic principles are fundamental; it describes particles' behaviors in terms of probabilities rather than certainties.