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Answers for “为什么在容斥原理中要减去交集?”

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The inclusion-exclusion formula for two events states that the probability of their union is the sum of their individual probabilities minus the probability of their intersection: P(E∪F)=P(E)+P(F)−P(E∩F)P(E \cup F) = P(E) + P(F) - P(E \cap F).

Conditions: E and F are events in the same probability space.