# Definitions for **sample space**

### This page provides all possible meanings and translations of the word **sample space**

### Wiktionary

sample space(Noun)

The set of all possible outcomes of a game, experiment or other situation

### Freebase

Sample space

In probability theory, the sample space or universal sample space, often denoted S, Ω, or U, of an experiment or random trial is the set of all possible outcomes. For example, if the experiment is tossing a coin, the sample space is the set {head, tail}. For tossing two coins, the sample space is {, }. For tossing a single six-sided die, the sample space is {1, 2, 3, 4, 5, 6}. For some kinds of experiments, there may be two or more plausible sample spaces available. For example, when drawing a card from a standard deck of 52 playing cards, one possibility for the sample space could be the rank, while another could be the suit. A complete description of outcomes, however, would specify both the denomination and the suit, and a sample space describing each individual card can be constructed as the Cartesian product of the two sample spaces noted above. In an elementary approach to probability, any subset of the sample space is usually called an event. However, this gives rise to problems when the sample space is infinite, so that a more precise definition of event is necessary. Under this definition only measurable subsets of the sample space, constituting a σ-algebra over the sample space itself, are considered events. However, this has essentially only theoretical significance, since in general the σ-algebra can always be defined to include all subsets of interest in applications.

### Numerology

Chaldean Numerology

The numerical value of sample space in Chaldean Numerology is:

**8**Pythagorean Numerology

The numerical value of sample space in Pythagorean Numerology is:

**2**

### Images & Illustrations of sample space

# Translation

#### Find a translation for the **sample space** definition in other languages:

Select another language:

#### Discuss these sample space definitions with the community:

# Word of the Day

#### Would you like us to send you a **FREE** new word definition delivered to your inbox daily?

# Citation

## Use the citation below to add this definition to your bibliography:

"sample space." *Definitions.net.* STANDS4 LLC, 2016. Web. 2 May 2016. <http://www.definitions.net/definition/sample space>.