Outcomes and Events
The elements of a probability space are outcomes, and the elements are events; is the probability of the event .
Definition 1.2 (Outcomes and Events)
Suppose is a probability space.
The elements of are called outcomes, and the elements of are called events.
Probabilities live on events
Probabilities are assigned to events rather than to individual outcomes.
When is countable, is taken to be the power set of , so every subset of outcomes is an event.
Related
Stated in
- Definition 1.2 (Outcomes and Events)§1.1 Probability Spaces