1. Concepts & Definitions
1.1. Experiment, observation, and sample space
1.2. Sample space: Venn and Tree diagram
1.3. Simple and composite events
1.4. Three definitions of probability
1.5. Law of large numbers and its consequences
1.6. Frequency and empirical probability
2. Problem & Solution
2.4. Frequency of categories from tables
2.5. Simple and marginal probabilities
2.6. Conditional probabilities
An experiment corresponds to a process that, when being performed, results in one and only one of many observations. These observations are known as experiment results or results. The collection of all results for an experiment and known as sample space. The following figure helps to illustrate the connection between these concepts
Suppose the following experiments:
1. Through a dice once.
2. Through a coin once.
3. Through a coin twice.
4. Through a dice twice.
5. A football game result.
6. Output of an exam.
The results and the sample space for each of the experiments are given in the next table: