Definition:Event/Occurrence/Certainty

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Definition

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

Let $A \in \Sigma$ be an event of $\EE$ whose probability of occurring is equal to $1$.

Then $A$ is described as certain.

That is, it is a certainty that $A$ occurs.


Also known as

A certain event is also known as a sure event.


Also see

  • Results about certain events can be found here.


Sources