H) Define axiomatic definition of Probability.

The axiomatic definition of probability is based on the following three axioms:

1. Non-negativity: For any event A, the probability of A is always greater than or equal to zero. This is mathematically represented as P(A) ≥ 0.

2. Certainty: The probability of a certain event (the sample space S) is 1. This is mathematically represented as P(S) = 1.

3. Additivity: For any two mutually exclusive events A and B (events that cannot both occur), the probability of either event A or event B occurring is the sum of their individual probabilities. This is mathematically represented as P(A U B) = P(A) + P(B) for A ∩ B = ∅.

These axioms form the basis of the mathematical theory of probability.