In classical physics, non-deterministic situations often arise in scenarios involving complex systems where predictability breaks down, such as chaotic dynamics and the three-body problem. The chaotic dynamics, despite having deterministic governing equations, can lead to unpredictable long-term behavior due to sensitivity to initial conditions. The three-body problem is a well-known example where three celestial bodies influence each other's motion, often resulting in non-reproducible outcomes. Norton's Dome, a theoretical construct, introduces a non-deterministic scenario in classical mechanics by allowing for multiple outcomes to occur under specific conditions. These examples highlight the interplay of determinism and chaos in complex systems, suggesting that while classical physics is generally deterministic, certain systems exhibit behavior that challenges predictability.