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- Experiment, Sample Space and Random Event ![section 1.2.pdf](../assets/section_1.2_1686899993390_0.pdf) - Experiment, Sample Space and Random Event ![section 1.2.pdf](../assets/section_1.2_1686899993390_0.pdf)
- Events as Sets - Events as Sets
- Definition of Classical Probability, Geometric Probability and Frequency ![section 1.3.pdf](../assets/section_1.3_1686900041785_0.pdf) - Definition of Classical Probability, Geometric Probability and Frequency ![section 1.3.pdf](../assets/section_1.3_1686900041785_0.pdf)
- Classical if - **Classical** if
- 1. E contains only different limited basic events, that is, - 1. E contains only different limited basic events, that is,
$$ Ω = \{ω1 , ω2 , · · · , ωn \}. $$ $$ Ω = \{ω1 , ω2 , · · · , ωn \}. $$
We call this kind of sample space simple space, and We call this kind of sample space simple space, and
2. all outcomes are equally likely to occur. 2. all outcomes are equally likely to occur.
- **Geometric** if
- (i) the sample space is a measurable (such as length, area,
volume, etc.) region, i.e., 0 < L(Ω) < ∞, and
- (ii) the probability of every event A ⊂ Ω is proportional to the
measure L(A) and has nothing to do with its position and
shape.
- Problems of Each Interpretation of Probability - Problems of Each Interpretation of Probability
- Similarity of the Above Interpretations of probability - Similarity of the Above Interpretations of probability
- Summary - Summary