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The malicious host: a minimax solution of the Monty Hall problem

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  • Jan C. Schuller
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    Abstract

    The classic solution of the Monty Hall problem tacitly assumes that, after the candidate made his/her first choice, the host always allows the candidate to switch doors after he/she showed to the candidate a losing door, not initially chosen by the candidate. In view of actual TV shows, it seems a more credible assumption that the host will or will not allow switching. Under this assumption, possible strategies for the candidate are discussed, with respect to a minimax solution of the problem. In conclusion, the classic solution does not necessarily provide a good guidance for a candidate on a game show. It is discussed that the popularity of the problem is due to its incompleteness.

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    File URL: http://hdl.handle.net/10.1080/02664763.2011.580337
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    Bibliographic Info

    Article provided by Taylor & Francis Journals in its journal Journal of Applied Statistics.

    Volume (Year): 39 (2012)
    Issue (Month): 1 (April)
    Pages: 215-221

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    Handle: RePEc:taf:japsta:v:39:y:2012:i:1:p:215-221

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