# Probability | Lecture 1 | Fundamental of Statistic

Experiment: Experiment is a process of observation. Here, we will use E to denote it.

Sample Space: The set of all possible outcome of the experiment. We will use S to denote it.

#### E1: Toss a true coin three times and observe the sequence of heads and tails. Total sample space ${2}^{3} = 8$

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, $S = \lbrace 1,2,3,4,5,6 \rbrace$