Sample Space
Definition
A sample space $% shorthands \newcommand{\cl}{ \mathcal{#1} } \newcommand{\sc}{ \mathscr{#1} } \newcommand{\bb}{ \mathbb{#1} } \newcommand{\fk}{ \mathfrak{#1} } \renewcommand{\bf}{ \mathbf{#1} } \renewcommand{\sf}{ \mathsf{#1} } \newcommand{\floor}{ { \lfloor {#1} \rfloor } } \newcommand{\ceil}{ { \lceil {#1} \rceil } } \newcommand{\ol}{ \overline{#1} } \newcommand{\t}{ \text{#1} } % magnitude etc \newcommand{\norm}{ { \lvert {#1} \rvert } } % cardinality \newcommand{\card}{ \t{cd} } % disjoint untion \newcommand{\dcup}{ \sqcup } % represents an anonymous parameter % eg. f(\apar) usually denotes the function x \mapsto f(x) \newcommand{\apar}{ {-} } % tuples \newcommand{\tup}{ \langle {#1} \rangle } % reverse-order composition %\newcommand{\then}{ \operatorname{\ ;\ } } \newcommand{\then}{ {\scriptsize\ \rhd\ } } \newcommand{\pre}{{ \small {#1} }} \newcommand{\injects}{ \hookrightarrow } \newcommand{\surjects}{ \twoheadrightarrow } % category names \newcommand{\cat}{{ \bf{#1} }} \Omega$ is a set $% shorthands \newcommand{\cl}{ \mathcal{#1} } \newcommand{\sc}{ \mathscr{#1} } \newcommand{\bb}{ \mathbb{#1} } \newcommand{\fk}{ \mathfrak{#1} } \renewcommand{\bf}{ \mathbf{#1} } \renewcommand{\sf}{ \mathsf{#1} } \newcommand{\floor}{ { \lfloor {#1} \rfloor } } \newcommand{\ceil}{ { \lceil {#1} \rceil } } \newcommand{\ol}{ \overline{#1} } \newcommand{\t}{ \text{#1} } % magnitude etc \newcommand{\norm}{ { \lvert {#1} \rvert } } % cardinality \newcommand{\card}{ \t{cd} } % disjoint untion \newcommand{\dcup}{ \sqcup } % represents an anonymous parameter % eg. f(\apar) usually denotes the function x \mapsto f(x) \newcommand{\apar}{ {-} } % tuples \newcommand{\tup}{ \langle {#1} \rangle } % reverse-order composition %\newcommand{\then}{ \operatorname{\ ;\ } } \newcommand{\then}{ {\scriptsize\ \rhd\ } } \newcommand{\pre}{{ \small {#1} }} \newcommand{\injects}{ \hookrightarrow } \newcommand{\surjects}{ \twoheadrightarrow } % category names \newcommand{\cat}{{ \bf{#1} }} \{\omega_1, \dots, \omega_n\}$ of possible outcomes of some probabilistic action, called (atomic) events. A subset $% shorthands \newcommand{\cl}{ \mathcal{#1} } \newcommand{\sc}{ \mathscr{#1} } \newcommand{\bb}{ \mathbb{#1} } \newcommand{\fk}{ \mathfrak{#1} } \renewcommand{\bf}{ \mathbf{#1} } \renewcommand{\sf}{ \mathsf{#1} } \newcommand{\floor}{ { \lfloor {#1} \rfloor } } \newcommand{\ceil}{ { \lceil {#1} \rceil } } \newcommand{\ol}{ \overline{#1} } \newcommand{\t}{ \text{#1} } % magnitude etc \newcommand{\norm}{ { \lvert {#1} \rvert } } % cardinality \newcommand{\card}{ \t{cd} } % disjoint untion \newcommand{\dcup}{ \sqcup } % represents an anonymous parameter % eg. f(\apar) usually denotes the function x \mapsto f(x) \newcommand{\apar}{ {-} } % tuples \newcommand{\tup}{ \langle {#1} \rangle } % reverse-order composition %\newcommand{\then}{ \operatorname{\ ;\ } } \newcommand{\then}{ {\scriptsize\ \rhd\ } } \newcommand{\pre}{{ \small {#1} }} \newcommand{\injects}{ \hookrightarrow } \newcommand{\surjects}{ \twoheadrightarrow } % category names \newcommand{\cat}{{ \bf{#1} }} E \subseteq \Omega$ represents the possibility of any $% shorthands \newcommand{\cl}{ \mathcal{#1} } \newcommand{\sc}{ \mathscr{#1} } \newcommand{\bb}{ \mathbb{#1} } \newcommand{\fk}{ \mathfrak{#1} } \renewcommand{\bf}{ \mathbf{#1} } \renewcommand{\sf}{ \mathsf{#1} } \newcommand{\floor}{ { \lfloor {#1} \rfloor } } \newcommand{\ceil}{ { \lceil {#1} \rceil } } \newcommand{\ol}{ \overline{#1} } \newcommand{\t}{ \text{#1} } % magnitude etc \newcommand{\norm}{ { \lvert {#1} \rvert } } % cardinality \newcommand{\card}{ \t{cd} } % disjoint untion \newcommand{\dcup}{ \sqcup } % represents an anonymous parameter % eg. f(\apar) usually denotes the function x \mapsto f(x) \newcommand{\apar}{ {-} } % tuples \newcommand{\tup}{ \langle {#1} \rangle } % reverse-order composition %\newcommand{\then}{ \operatorname{\ ;\ } } \newcommand{\then}{ {\scriptsize\ \rhd\ } } \newcommand{\pre}{{ \small {#1} }} \newcommand{\injects}{ \hookrightarrow } \newcommand{\surjects}{ \twoheadrightarrow } % category names \newcommand{\cat}{{ \bf{#1} }} \omega \in E$ occuring. Such objects are called (compound) events1.
Yes, the word “event” can mean either kind.