Читать книгу Probability and Statistical Inference - Robert Bartoszynski - Страница 26

Next, we introduce concepts that will allow us to form composite events out of simpler ones. We begin with the relations of inclusion and equality.

Definition 1.3.1 The event is contained in the event , or contains , if every sample point of is also a sample point of . Whenever this is true, we will write , or equivalently, .

An alternative terminology here is that implies (or entails) .

Definition 1.3.2 Two events and are said to be equal, , if and .

It follows that two events are equal if they consist of exactly the same sample points.