Sannolikhetsteori+måtteori: måttbar händelse i kontinuerligt utfallsrum

Hej påå wikipedia angående utfallsrum står det:

In an elementary approach to probability, any subset of the sample space is usually called an event.[6] 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 measurable subsets of the sample space, constituting a σ-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 [0, infinity).[6]

Då räknas alltså delmängder med noll mått som events?