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What are the three axioms of probability

Question

What are the three axioms of probability

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Solution

The three axioms of probability are:

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

  2. Certainty: The probability of a sample space S is equal to one. This is represented as P(S) = 1.

  3. Additivity: For any two mutually exclusive events A and B, the probability of the union of A and B is equal to the sum of their individual probabilities. This is represented as P(A ∪ B) = P(A) + P(B) if A and B are mutually exclusive.

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