[1]ZHAO Senfeng,ZHAO Keqin.Contact probability (complex probability) of the geometry probability and the complement number theorem of probability[J].CAAI Transactions on Intelligent Systems,2013,8(1):1115.[doi:10.3969/j.issn.16734785.201208025]
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CAAI Transactions on Intelligent Systems[ISSN 16734785/CN 231538/TP] Volume:
8
Number of periods:
2013 1
Page number:
1115
Column:
学术论文—人工智能基础
Public date:
20130325
 Title:

Contact probability (complex probability) of the geometry probability and the complement number theorem of probability
 Author(s):

ZHAO Senfeng^{1}; ZHAO Keqin^{2}; 3

1.Department of Science， Zhijiang College of Zhejiang University of Technology, Hangzhou 310024, China;
2.Zhuji Institute of Connection Mathematics, Zhuji 311811, China;
3.Center for Nontraditional Security and Peaceful Development Studies, Zhejiang University, Hangzhou 310058, China

 Keywords:

random test; geometry probability; contact probability (complex probability); probability; representation theorem; inverse theorem
 CLC:

TP18
 DOI:

10.3969/j.issn.16734785.201208025
 Abstract:

In order to research the calculation and application of contact probability when the result of equally likely random trial is infinite, the researcher utilized the simple “uniform needle” random test to derive contact probability (complex probability) of geometry probability. The main probability and the concomitant probability of the contact probability respectively correspond to the great number probability (main probability) of the main event and the even if probability (great number probability of concomitant event) of the main event. And on this basis, the representation theorem of the random event and complement number theorem of probability were provided in the study. The complement number theorem was used to conveniently find the contact probability of the event based on the premise of knowing the probability of a random event. The results illustrated that the contact probability of geometry probability had the same form and property with the contact probability of typical probability.