The even door problem
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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.
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References
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