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A study on a sequences of games with draw
Journal of the Korean Data & Information Science Society 2017;28:783-96
Published online July 31, 2017
© 2017 Korean Data & Information Science Society.

Daehyeon Cho1

1Department of Statistics/Institute of Statistical Information, Inje University
Correspondence to: Daehyeon Cho
Professor, Department of Statistics/Institute of Statistical Information, Inje University, Kimhae 621-749, Korea. Email: E-mail: statcho@inje.ac.kr
Received June 29, 2017; Revised July 18, 2017; Accepted July 20, 2017.
This is an Open Access article distributed under the terms of the Creative Commons Attribution Non-Commercial License (http://creativecommons.org/licenses/by-nc/3.0) which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
In the theory of probability, a Bernoulli trial is a random experiment with exactly two possible outcomes, “success” and “failure”, in which the probability of success is the same every time the experiment is conducted. In the successive games of scissors paper stone there exists the case of draw in each game. In this paper we are interested in the ultimate success probability of each participant and the expected number of the game till any one of the two has the ultimate victory. Using our results, we can calculate the ultimate winning probability of each player of the two players and the expected number of the game till any one of the two has the ultimate victory in any case whether there is draw or not in each game.
Keywords : Bernoulli trial, expected number of the game, independent trial, winning probability


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