 Hempel referred to statistical explanations as “inductive-statistical” in contrast with his prior discussion of “deductive-nomological” explanations (Hempel 1958). Because generalizations of both kinds are supposed to be lawlike, however, more appropriate names for them might have been “universal-deductive” and “statistical-inductive” (or, perhaps, “statistical-probabilistic”, respectively (Fetzer 1974). In formalizing these arguments, Hempel symbolized statistical premises attributing a certain probability to outcome \(G\), under conditions \(F\), by “\(P(G, F) = r\)”, where these explanations then assume this form: