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Axiomatic Approach

If S is the sample space of a random experiment and E is the power set of S, then a real valued function from E to [0,1] is probability function if it satisfies the following axioms:

1. Axiom of Positivity

   P(E) ≥ 0 if E ∈ f(s)

2. Axiom of Certainty

   P(S) = 1, when S is the sample space

3. Axiom of Union

   P(A∪B) = P(A) + P(B) for every exclusive events A and B

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