Posterior Probability

Posterior probability is the updated likelihood of an event or hypothesis after considering new evidence or information. In other words, it’s what you believe about something after taking into account what you've already observed. For example, if you hear a diagnosis from a doctor and then learn additional test results, your confidence in that diagnosis increases or decreases based on this new data. Mathematically, it combines your initial assumption (prior probability) with the new evidence, helping refine your understanding and make more informed decisions.