interpretations of probability

Probability can be understood through three main interpretations: 1. **Frequentist**: This views probability as the long-term frequency of an event occurring based on repeated trials. For example, flipping a coin many times should show heads about half the time. 2. **Subjective**: This considers probability as a personal belief about how likely an event is, based on individual judgment and information. 3. **Bayesian**: This blends the frequentist approach with subjective belief, updating probabilities as new evidence is obtained. Each interpretation provides a different lens through which to assess uncertainty and make decisions.