Description: The inference of probabilistic graphical models is the process of calculating the probabilities of certain variables given the values of other variables in a probabilistic graphical model. These models are visual representations that show the relationships between random variables, allowing for an intuitive understanding of the dependency structure among them. Essentially, inference focuses on deducing information about unobserved variables from observed variables, using probability theory. Graphical models can be directed, such as Bayesian networks, or undirected, like Markov networks. Inference can be exact or approximate, depending on the complexity of the model and the amount of available data. This process is fundamental in data analysis, as it enables predictions, classifications, and informed decisions based on the inherent uncertainty of the data. The inference of probabilistic graphical models has become an essential tool in various disciplines, from artificial intelligence to social sciences, where modeling and reasoning about complex systems with multiple interrelated variables is required.