 The crucial rule governing this non-propositional entity is this: the probability of “if \(A, B\)” given \(A\), is the same as the probability of “if \(A, B\)” given \({\sim}A\); the probability of the conditional is independent of its antecedent. This guarantees that \(\mathbf{p}\)(if \(A, B) = \mathbf{p}_A (B)\).