Definition:Event/Occurrence/Equality

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Definition

Let the probability space of an experiment $\EE$ be $\struct {\Omega, \Sigma, \Pr}$.

Let $A, B \in \Sigma$ be events of $\EE$ such that $A = B$.

Then:

the occurrence of $A$ inevitably brings about the occurrence of $B$

and:

the occurrence of $B$ inevitably brings about the occurrence of $A$.


Also see


Sources