# Introduction to Probability Theory

### Sample Space and Events

The set of all possible outcome of an experiment while the precise outcome is unknown is called Sample Space and it is often denoted by S.

For a single coin: Sample Space, $S = \lbrace H, T \rbrace$
For two coins, Sample Space, $S = \lbrace (H, H),(H,T),(T,H),(T,T) \rbrace$
For a rolling dice, Sample Space, $S = \lbrace 1,2,3,4,5,6 \rbrace$