Hopefully a useful system results. Axiom 2: For each event {A} there is an assigned probability of that event, such that P{A}=0. Axiom 3: The probability of the whole space is P{S}=0. Axiom 4: If two ...

Although there are several different probability interpretations, probability theory treats the concept in a rigorous mathematical manner by expressing it through a set of axioms. Typically these ...