Definition:Trivial Event
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Definition
Let the probability space of an experiment $\EE$ be $\struct {\Omega, \Sigma, \Pr}$.
The empty set $\O$ is a subset of $\Sigma$, by Empty Set is Subset of All Sets, and so is an event in $\EE$.
It can be referred to as the the trivial event of $\EE$.
Sources
- 1965: A.M. Arthurs: Probability Theory ... (previous) ... (next): Chapter $2$: Probability and Discrete Sample Spaces: $2.2$ Sample spaces and events