Prior probability is a marginal probability while posterior probability is a conditional probability.

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Prior probability is the probability of an event happening before any evidence is taken into account, while posterior probability is the updated probability of an event happening after new evidence has been considered. Prior probability can be calculated as a marginal probability, which considers all possible outcomes, while posterior probability is a conditional probability that takes into account the new information or evidence.

Prior Probability Is a Marginal Probability While Posterior Probability Is