diff --git a/pages/总复习2023t1.md b/pages/总复习2023t1.md index 620356a..c736070 100644 --- a/pages/总复习2023t1.md +++ b/pages/总复习2023t1.md @@ -2616,11 +2616,17 @@ - Experiment, Sample Space and Random Event ![section 1.2.pdf](../assets/section_1.2_1686899993390_0.pdf) - Events as Sets - 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, $$ Ω = \{ω1 , ω2 , · · · , ωn \}. $$ We call this kind of sample space simple space, and 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 - Similarity of the Above Interpretations of probability - Summary