Probabilistic theories of causality emerged in the 1960s together with the criticism of the idea that causation is a relation of necessitation. The present work treats questions that are raised by the current state of development of the field of probabilistic theories of causality. Concerning generic causation, the relationship between causality and probability can be considered conceptually analyzed and open questions are epistemological. More exactly, I am interested in inference to generic causes as it is grounded on causal Bayesian networks. By contrast, the conceptual question of the relationship between probabilities and singular causation is not completely answered. This question is broached through an analysis of the relationship be...