The conditional probability and the linear flow graph approaches to analyzing probabilistic causal systems

An alternative theoretical approach to the analysis for dichotomous causal systems that involve probabilistic causation, the conditional probability approach, has recently been explicated. It was shown that there exist various composition and decomposition rules for analyzing various kinds of general causal systems, and an important distinction between pure-“or”-and pure-“and”-causal systems was explicated. In this paper these earlier results are used to analyze a causal system which has been studied by J.A. Davis (1976), who uses his linear flow graph approach to analysis. The results of the conditional probability approach are compared to the linear flow graph, and it is shown that the two approaches lead to strikingly different results.