1.4.2 Event Space

Using the sample space, we can define different events of interest. An event is a subset of the sample space, that contains the outcomes that we are interested in. If the actual outcome of the random experiment is one of the outcomes of a particular event, then we say that the event has “occurred”. It is generally denoted by any capital letter such as . Fig 1.10 shows two different events of a die. Event  is “rolling any of the first three numbers” and can be denoted by the set {1, 2, 3} while Event  is “rolling any of the even numbers” and can be denoted by the set {2, 4, 6}.