Sample Space \(\Omega\)

• Set of all possible events: Must be exhaustive and exclusive

• Examples

  • Throw a die: \(\Omega = \{1,2,3,4,5,6\}\)
  • Flipping 2 coins: \(\Omega = \{(H,H),(H,T),(T,H),(T,T)\}\) (Cartesian product)
  • Phase angle of a Voltage: \(\Omega = \{\theta \mid 0 \leq \Theta \leq 2 \pi\}\)
  • Can also be alphabets, functions, vectors, EEG signals, images … etc.