Gamblers Never Change their Habits

Authors

  • Karl Grill Department of Statistics and Probability Theory Vienna University of Technology
  • Norbert Kusolitsch Department of Statistics and Probability Theory Vienna University of Technology

DOI:

https://doi.org/10.17713/ajs.v31i2&3.478

Abstract

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.

References

L. Devroye. Non–Uniform Random Variate Generation. Springer Verlag, Berlin, 1986.

K. Grill, H. Hödl, and N. Kusolitsch. Analyse des Spiels “6 aus 45”, Untersuchung im Auftrag der Österreichischen Lotterien. Technical Report WT-92-1, Department of Statistics and Probability Theory, Vienna University of Technology, Vienna, Austria, 1992.

H. Hödl, N. Kusolitsch, andW. Zorman. Verhalten der Lottospieler im Zeitverlauf. Technical Report WT-96-6, Department of Statistics and Probability Theory, Vienna University of Technology, Vienna, Austria, 1996.

A.J. Walker. New fast method for generating discrete random numbers with arbitrary frequency distributions. Electronics Letters, 10:127–128, 1974.

A.J. Walker. An efficient method for generating discrete random variables with general distributions. ACM Trans. Soft., 3:253–256, 1977.

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Published

2016-04-03

How to Cite

Grill, K., & Kusolitsch, N. (2016). Gamblers Never Change their Habits. Austrian Journal of Statistics, 31(2&3), 157–167. https://doi.org/10.17713/ajs.v31i2&3.478

Issue

Vol. 31 No. 2&3 (2002)

Section

Articles

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