“mutually exclusive events”的概念、定义、翻译、参考文献-科学参考

mutually exclusive events

Mathematics

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

For example, when a die is thrown, the probability of obtaining a ‘one’ is $\frac{1}{6}$ , and the probability of obtaining a ‘two’ is $\frac{1}{6}$ . These events are mutually exclusive. So the probability of obtaining a ‘one’ or a ‘two’ is equal to $\frac{1}{6} + \frac{1}{6} = \frac{1}{3}$ .

Statistics

Two events (see sample space), A and B, are exclusive if they cannot both occur simultaneously, i.e. if A ∩ B=ϕ, the empty set. In this case P(A ∩ B)=0. The n events A₁, A₂,…, A_n are mutually exclusive if, for all j≠k, A_j ∩ A_k=ϕ.

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 A ∩ B = Ø. For mutually exclusive events, the probability that either one event or the other occurs is given by the addition law, Pr(A ∩ B) = Pr(A) + Pr(B). For example, when a die is thrown, the probability of obtaining a ‘one’ is $\frac{1}{6}$ , and the probability of obtaining a ‘two’ is $\frac{1}{6}$ . These events are mutually exclusive. So the probability of obtaining a ‘one’ or a ‘two’ is equal to $\frac{1}{6} + \frac{1}{6} = \frac{1}{3}$ . Statistics Two events (see sample space), A and B, are exclusive if they cannot both occur simultaneously, i.e. if A ∩ B=ϕ, the empty set. In this case P(A ∩ B)=0. The n events A₁, A₂,…, A_n are mutually exclusive if, for all j≠k, A_j ∩ A_k=ϕ.
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