An event is a subset of the set of all possible outcomes of a probabilistic experiment.
The set of all possible outcomes is called sample space and it is usually
denoted by
.
Thus, an event
is a subset of
,
which is indicated
by![[eq1]](/images/event__4.png)
In simple probabilistic settings, all subsets of the sample space are considered events. However, there are also more complicated settings in which some subsets of the sample space cannot be considered events.
Table of contents
If the probabilistic experiment is the roll of a dice, the set of all possible
outcomes
is![[eq2]](/images/event__5.png)
In
this setting, three instances of events
are![[eq3]](/images/event__6.png)
Event
could be described in words as "An odd number appears face up", event
could be described as "A number strictly greater than four appears face up",
and event
could be described as "The number
appears face up".
For examples and more detailed explanations of the concept of event, you can go to the lecture entitled Probability.
Previous entry: Estimator
Next entry: Factorial
Most of the learning materials found on this website are now available in a traditional textbook format.
