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.

Experiment 1:

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

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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

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