[1]ZHAO Senfeng,ZHAO Keqin.Frequency-type contact probability and random events transformation theorem[J].CAAI Transactions on Intelligent Systems,2014,9(1):53-59.[doi:10.3969/j.issn.1673-4785.201305003]
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Frequency-type contact probability and random events transformation theorem

CAAI Transactions on Intelligent Systems[ISSN 1673-4785/CN 23-1538/TP] Volume: 9 Number of periods: 2014 1 Page number: 53-59 Column: 学术论文—人工智能基础 Public date: 2014-02-25
Title:
Frequency-type contact probability and random events transformation theorem
Author(s):
ZHAO Senfeng1;  ZHAO Keqin2; 3
1. Department of Science, Zhijiang College, Zhejiang University of Technology, Hangzhou 310024, China;
2. Zhuji Institute of Connection Mathematics, Zhuji 311811, China;
3. Center for Non-traditional Security and Peaceful Development Studies, Zhejiang University, Hangzhou 310058, China
Keywords:
random test; frequency type probability; contact probability; transformation theorem; small probability principle; big probability principle; same-indefinite-contrary connection probability; multiple contact probability
CLC:
TP18
DOI:
10.3969/j.issn.1673-4785.201305003
Abstract:
In order to further research the relation between contact probability and probability, with the aid of a new random test of "tossing a coin" and "rolling the dice", the frequency-type contact probability is derived, and on this basis, the transformation theorem of random events and the "big probability principle" are proposed and its relation with the "small probability principle" is discussed. Taking the game of "rolling the dice" as an example, the definitions of the same-indefinite-contrary connection probability and the multiple contact probability are given, showing that the frequency type contact probability has the same mathematical form and nature with the classical type and geometrical type contact probability. The examples show the contact probability reflects the result of the random test objectively.
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