Kolmogorov’s axioms

Finally, let P be the measure function, called the probability function, that assigns a real number to all the members of F. In most cases, it provides the likelihood that a given event will occur. The measure function must satisfy Kolmogorov s axioms for any event, E F,... 

By Kolmogorov s axiom that / ( ) = 1, the probability density function has the following property ... 

Kolmogorov s Third Axiom on additivity, by the way, forms the basis for risk profiling, which is being proposed by the VDW for the superposition of individual risk snapshots to form a risk film see below. 

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