sample space

Noun

Meaning

sample space (plural sample spaces)

(probability theory) The set of all possible outcomes of a game, experiment or other situation.

Examples

Continuous probability theory deals with events that occur in a continuous sample space. Source: Internet

An event, however, is any subset of the sample space, including any singleton set (an elementary event ), the empty set (an impossible event, with probability zero) and the sample space itself (a certain event, with probability one). Source: Internet

An event is defined as a particular subset of the sample space to be considered. Source: Internet

Equally likely outcomes Flipping a coin leads to a sample space composed of two outcomes that are almost equally likely. Source: Internet

Events in probability spaces Defining all subsets of the sample space as events works well when there are only finitely many outcomes, but gives rise to problems when the sample space is infinite. Source: Internet

Flipping a brass tack leads to a sample space composed of two outcomes that are not equally likely. Source: Internet

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