
Sample space
Set of all possible outcomes or results of a statistical trial or experiment

Set of all possible outcomes or results of a statistical trial or experiment
In probability theory, the sample space (also called sample description space, possibility space, or outcome space) of an experiment or random trial is the set of all possible outcomes or results of that experiment. A sample space is usually denoted using set notation, and the possible ordered outcomes, or sample points, are listed as elements in the set. It is common to refer to a sample space by the labels S, Ω, or U (for "universal set"). The elements of a sample space may be numbers, words, letters, or symbols. They can also be finite, countably infinite, or uncountably infinite. A subset of the sample space is an event, denoted by E {\displaystyle E} . If the outcome of an experiment is included in E {\displaystyle E} , then event E {\displaystyle E} has occurred. For example, if the experiment is tossing a single coin, the sample space is the set...
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