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In probability theory,
sample space (also called sample description space[1] or possibility space[2]) of an experiment or
random trial is the set of all possible outcomes or results of that experiment.[3]

A sample space is usually denoted using set notation, and
the possible ordered outcomes are listed as elements in the set.

It is common to refer to a sample space by the labels S, ฮฉ, 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.[4]

A well-defined sample space is one of three basic elements in a probabilistic model (a probability space);
the other two are a well-defined set of possible events (a sigma-algebra)
and a probability assigned to each event (a probability measure function).

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