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Consider events A and B. P(A or B)= P(A) + P(B) - P(A and B)

The rule refers to the probability that A can happen, or B can happen, or both can happen together. That is what is stated in the addition rule.

Often P(A and B ) is zero, if they are mutually exclusive. In this case the rule just becomes P(A or B)= P(A) + P(B).

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Q: What is addition theorem of probability?
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