Sample space

A sample consists of all of the people or items chosen to represent a larger group.

A sample space consists of all popssible outcomes of a probability experiment.


When a coin is tossed, there are two possible outcomes: heads or tails. The sample space for the experiment of tossing a coin is {heads, tails}.

Sampling is selecting people or items to represent a larger group. Sampling must be done carefully for the sample to be representative of the larger group, or population.


Imagine you want to know the favorite movie of moviegoers in your community. If you survey only the students in your school, your sample is not likely to represent your community. Instead, you need to survey moviegoers of different age levels, different educational backgrounds, different incomes, and so on.

See also population.