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Bayesian Probability is the process of using probability to try to predict the likelihood of certain events occurring in the future, and it is used in research to judge the amount of confidence that they have in a particular result.

Bayesian probability (also known as Bayesian inference) can be defined as the subjective estimation of whether the cases or events in question will occur.

  • Bayesian inference refers to the mathematical likelihood of a particular hypothesis to be true when considering other events, which have already occurred.

  • Thus, Bayesian probability can be used to express a degree of belief/expectation about a given statement or hypothesis containing unknown quantities.

  • Bayesian inference is based on Bayes' theorem, which is used to update degrees of belief of a given outcome (i.e., the probability of an event to occur) after obtaining new data.

  • In research, Bayesian inference applies probabilities to different statistical problems, and therefore it can be used in many fields of study ranging from, for example, phylogenetics to psychology.

In conclusion, Bayesian probability can be defined as the subjective estimation of whether the cases/events in question will occur.

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