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Probability Bracket Notation (PBN) is applied to systems of multiple randomvariables for preliminary study of static Bayesian Networks (BN) andProbabilistic Graphic Models (PGM). The famous Student BN Example is exploredto show the local independences and reasoning power of a BN. Software packageElvira is used to graphically display the student BN. Our investigation showsthat PBN provides a consistent and convenient alternative to manipulate manyexpressions related to joint, marginal and conditional probabilitydistributions in static BN.

Probability Bracket Notation, Multivariable Systems and Static Bayesian Networks