Editing Sample space (section)

==Infinitely large sample spaces==
In an elementary approach to [[probability]], any subset of the sample space is usually called an [[event (probability theory)|event]].<ref name=":1" /> However, this gives rise to problems when the sample space is continuous, so that a more precise definition of an event is necessary. Under this definition only [[measure (mathematics)|measurable]] subsets of the sample space, constituting a &sigma;-algebra over the sample space itself, are considered events.

An example of an infinitely large sample space is measuring the lifetime of a light bulb. The corresponding sample space would be {{Closed-open|0, ∞}}.<ref name=":1" />