Almost sure event – TheoremDex

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Almost sure event

Formulation 0

Let $P = (\Omega, \mathcal{F}, \mathbb{P})$ be a D1159: Probability space.
An D1716: Event $E \in \mathcal{F}$ in $P$ is an almost sure event in $P$ if and only if \begin{equation} \mathbb{P}(E) = 1 \end{equation}

Also known as

Almost certain event, Event of probability one

Results

» R4327: Probability of countable union with an almost sure event

» R4328: Probability of finite union with an almost sure event

» R4326: Probability of binary union with almost sure event

» R4329: Probability of countable intersection with an almost sure event

» R4330: Probability of finite intersection with an almost sure event

» R4331: Probability of binary intersection with an almost sure event