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Write down the Axiomatic definition of Probability. |
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Answer» Let A and B be the events of a sample space S. Let P(A) and P(B) are the real numbers (probabilities) assigned to these events. Then, P(A) is the probability of A if, the following axioms are satisfied. Axiom (i) : P(A) ≥ 0 (non-negativity condition) Axiom (ii) : P(S) = 1. ‘S’ being the sure event. Axiom(iii): For any two disjoint events A and B,P(A + B) = P(A) + P(B) |
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