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# Additional & Product Rules of Probability

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Guide:

## Additional Rules of Probability

Given that there are two events, A & B. The probability of the union of the two events under different circumstance are shown below.

Two events are mutually exclusive, P(A U B) = P(A) + P(B)
Two events are not mutually exclusive, P(A U B) = P(A) + P(B) – P(A n B)

## Product rule of probability

The joint probability for the two events A and B are defined as follow.

Two events are independent, P(A n B) = P(A) x P(B)
Two events are dependent, P(A n B) = P(A) x P(A|B)

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