Gamblers Never Change their Habits

Gamblers Never Change their Habits

In the game ‘6 out of 45’ the gambler has to guess 6 different numbers out of 45. These guesses are far from being uniformly distributed, instead gamblers prefer certain numbers and avoid others. This paper discusses the influence of the gamblers’ behavior on the probability that no one will guess a...

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Bibliographic Details
Main Authors: Karl Grill, Norbert Kusolitsch
Format: Article
Language:English
Published: Austrian Statistical Society 2016-04-01
Series:Austrian Journal of Statistics
Online Access:http://www.ajs.or.at/index.php/ajs/article/view/478
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spelling doaj-2661127ccc4345669e64b5ae4ed7e8912021-04-22T12:33:02ZengAustrian Statistical SocietyAustrian Journal of Statistics1026-597X2016-04-01312&310.17713/ajs.v31i2&3.478Gamblers Never Change their HabitsKarl Grill0Norbert Kusolitsch1Department of Statistics and Probability Theory Vienna University of TechnologyDepartment of Statistics and Probability Theory Vienna University of TechnologyIn the game ‘6 out of 45’ the gambler has to guess 6 different numbers out of 45. These guesses are far from being uniformly distributed, instead gamblers prefer certain numbers and avoid others. This paper discusses the influence of the gamblers’ behavior on the probability that no one will guess all 6 numbers correctly. This probability is important because if such an event occurs the turnover of the next round will be significantly increased. Furthermore a fast simulation program is described that was developed on the basis of the above mentioned analysis and which aims to predict the behavior of the game during longer periods of time.http://www.ajs.or.at/index.php/ajs/article/view/478
collection DOAJ
language English
format Article
sources DOAJ
author Karl Grill
Norbert Kusolitsch
spellingShingle Karl Grill
Norbert Kusolitsch
Gamblers Never Change their Habits
Austrian Journal of Statistics
author_facet Karl Grill
Norbert Kusolitsch
author_sort Karl Grill
title Gamblers Never Change their Habits
title_short Gamblers Never Change their Habits
title_full Gamblers Never Change their Habits
title_fullStr Gamblers Never Change their Habits
title_full_unstemmed Gamblers Never Change their Habits
title_sort gamblers never change their habits
publisher Austrian Statistical Society
series Austrian Journal of Statistics
issn 1026-597X
publishDate 2016-04-01
description In the game ‘6 out of 45’ the gambler has to guess 6 different numbers out of 45. These guesses are far from being uniformly distributed, instead gamblers prefer certain numbers and avoid others. This paper discusses the influence of the gamblers’ behavior on the probability that no one will guess all 6 numbers correctly. This probability is important because if such an event occurs the turnover of the next round will be significantly increased. Furthermore a fast simulation program is described that was developed on the basis of the above mentioned analysis and which aims to predict the behavior of the game during longer periods of time.
url http://www.ajs.or.at/index.php/ajs/article/view/478
work_keys_str_mv AT karlgrill gamblersneverchangetheirhabits
AT norbertkusolitsch gamblersneverchangetheirhabits
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