Statistical event

$E\subseteq \Omega$

• Any subset of $\Omega$, Sample space, include one or more possible outcomes
• If an event $E$
  • has one possible outcome, it is simple event
  • equals to the sample space, then it is a certain event
  • $E=\varnothing$, it is an impossible event

Set operation for an event:

• $E\cap F$:
  • And operation, both events occur
  • like INTERSECTION
• $E\cup F$:
  • Or operation only 1 event occur
  • like UNION
• $E^{\prime }$:
  • complements, event which $E$ doesnt occur

Mutually exclusive