From 4ca745cdbcf85196e9578318d55da7736397defc Mon Sep 17 00:00:00 2001 From: Ryan Date: Fri, 16 Jun 2023 15:41:23 +0800 Subject: [PATCH] Auto saved by Logseq --- pages/总复习2023t1.md | 9 +++++---- 1 file changed, 5 insertions(+), 4 deletions(-) diff --git a/pages/总复习2023t1.md b/pages/总复习2023t1.md index bc1d04f..15b94df 100644 --- a/pages/总复习2023t1.md +++ b/pages/总复习2023t1.md @@ -2619,16 +2619,17 @@ - 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) + collapsed:: true - **Classical** if - - 1. E contains only different limited basic events, that is, + - 1. E contains **only different limited basic** events, that is, $$ Ω = \{ω1 , ω2 , · · · , ωn \}. $$ 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, + - (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 + - (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. - The **Frequency** Interpretation of Probability - Let E be an random experiment, A be an random event.