The even door problem

Yuttana Ratibenyakool

Srinakharinwirot University, Department of Mathematics, Faculty of Science, Bangkok, Thailand

Anocha Masiri

Srinakharinwirot University, Department of Mathematics, Faculty of Science, Bangkok, Thailand

Thitiya Ngamkhiew

Srinakharinwirot University, Department of Mathematics, Faculty of Science, Bangkok, Thailand

Nahathai Rerkruthairat

Srinakharinwirot University, Department of Mathematics, Faculty of Science, Bangkok, Thailand

DOI: https://doi.org/10.14456/apst.2017.20

Keywords: pi Monty Hall Problem n doors

Abstract

There are several methods of pi estimation. In this research, we adjusted some conditions based on the research of Alberto Zorzi (1). The number of doors was changed to an even number as well as increasing the number of cars. Due to this adjustment, the winning probability of pi the player will be doubled when the number of doors is even and there are two cars hidden inside, compared with the situation that the number of doors is even and there is one car hidden inside. If the number of doors is even and there are three or more cars, we will not be able to play this game with the same strategy. Moreover, this research demonstrates the relationship between the probabilities to win the game with the value of pi , that is, the player can estimate the value of by playing the game repeatedly with the best strategy.

How to Cite

Ratibenyakool, Y., Masiri, A., Ngamkhiew, T., & Rerkruthairat, N. (2017). The even door problem. Asia-Pacific Journal of Science and Technology, 22(3), APST–22. https://doi.org/10.14456/apst.2017.20

References

Alberto Z. Cars, Goats, π, and e. Mathematics Magazine. 2009; 82(5): 360-363.

Joe R, Irvin S. The Full Monty. In the MWSUG conference. Retrieved from http://www.mwsug.org/index.php/2011-proceedings.html. 23 April 2015.

Jeffrey R. Monty Hall, Monty fall, Monty crawl. Math Horizons. 2008; 16(1): 5-7.

Stephen L, Jason R, Andrew S. The Monty Hall Problem, Reconsidered. Mathematics Magazine. 2009; 82(5): 332-342.

Flitney AP, Abbott D. Quantum version of the Monty Hall problem. Physical Review A. 2008; 65: 062318.

Hammad S. Is the lure of choice reflected in market prices? Experimental evidence based on the 4-door Monty Hall problem. Journal of Economic Psychology. 2009; 30: 203-215.