addition law for probabilities (total probability law) Law stating that if two events (see SAMPLE SPACE) A and B are "mutually exclusive then
For example, the *probability that, when a normal six-sided die is rolled, it shows a multiple of 3 is -=s- + - = P(shows 3} + P(shows 6). 3 6 6
The generalization to n mutually exclusive events is the law of total probability: P(Ai U A2 U - U An) = P(A,) + V{A2) + - + V{An). See also UNION.
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