Event space $\mathcal{F}$

• The event space consists of all possible combinations of outcomes (Events $E \subseteq \Omega$).

• Note that an outcome is an element of $\Omega$, an Event is a subset. Can consist of one or many outcomes.

• For a discrete sample space with $n$ elements, there are $2^n$ Events in $\mathcal{F}$

• Example: Consider an experiment with 3 outcomes $\Omega = \{A, B , C\}$. Then:

$$\mathcal{F} = \{\emptyset, \{A\}, \{B\},\{C\},\{A, B\},\{A, C\},\{B, C\}, \{A,B, C\}\}$$