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Definition 1   A sample space $ \Omega$ is a set of all outcomes or things ($ \omega$) that can happen in an ``experiment''.

e.g.: Flip a coin, $ \Omega = \{H,T\} $ and $ \omega \in \Omega \rightarrow \omega =$   H or $ \omega =$   T.

e.g. Spin a wheel: $ \Omega =$   stopping locations $ = [0,2\pi)$. In this case the sample space $ \Omega$ is continuous (as opposed to discrete).

Eran Borenstein