While probability is a powerful tool for understanding uncertainty and making informed decisions, there are scenarios where it might not be as useful: In situations where outcomes are entirely predictable and deterministic, probability theory becomes less relevant. For example, basic arithmetic calculations or simple logical operations don't require probabilistic reasoning. Also, there's no need for probability when we have complete and accurate information about a system. For instance, if you know the exact number of marbles in a jar, you don't need to estimate the probabilities of drawing different colors. Finally, some decisions are binary (yes/no) and don't involve uncertainty. For instance, deciding whether to take an umbrella when it's raining doesn't require complex probability calculations