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单词 mutually exclusive events
释义
mutually exclusive events

Mathematics
  • Events A and B are mutually exclusive if A and B cannot both occur; that is, if AB = Ø. For mutually exclusive events, the probability that either one event or the other occurs is given by the addition law, Pr(AB) = Pr(A) + Pr(B).

    For example, when a die is thrown, the probability of obtaining a ‘one’ is 16, and the probability of obtaining a ‘two’ is 16. These events are mutually exclusive. So the probability of obtaining a ‘one’ or a ‘two’ is equal to 16+16=13.


Statistics
  • Two events (see sample space), A and B, are exclusive if they cannot both occur simultaneously, i.e. if AB=ϕ, the empty set. In this case P(AB)=0. The n events A1, A2,…, An are mutually exclusive if, for all jk, AjAk=ϕ.


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