To examine the relationship between posterior probability distribution and MV-algebras, a gentle introduction of Bayes’ estimation on MV-algebras as interactions of fuzzy events and the conventional Bayes estimation were considered. The theoretical basis of the efficiency of using posterior probability distribution and Bayes’ estimation was developed. The result of Bayes’ estimate showing the usefulness of investigating causal relationship is indicated. An instance was used to demonstrate the applicability and efficiency of the distributions.

probability distribution, MV-algebras, fuzzy events, Bayes’ estimate.