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A compound event is any event combining two or more simple events.

The notation for addition rule is: P(A or B) = P(event A occurs or event B occurs or they both occur).

When finding the probability that event A occurs or event B occurs, find the total numbers of ways A can occurs and the number of ways B can occurs, but find the total in such a way that no outcome is counted more than once.

General addition rule is :

P(A or B) = P(A) + P(B) - P(A and B), where P(A and B) denotes that A and B both occur at the same time as an outcome in a trial procedure.

It is a special addition rule that shows that A and B cannot both occur together, so P(A and B) becomes 0:

If A and B are mutually exclusive, then P(A) or P(B)= P(A or B) = P(A) + P(B)

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Q: What is the Addition Theorem in probability?
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