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Published August 15, 2025 | Version v43
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REFUTATION OF THE LOGICAL FALLACY COMMITED BY THE SUBJECT MATTER EXPERTS ON THE MONTY-HALL PROBLEM

Description

REFUTATION OF THE LOGICAL FALLACY COMMITED BY THE SUBJECT MATTER EXPERTS ON THE MONTY-HALL PROBLEM 

 

PIPR:©: Dr.(Prof.) Keshava Prasad Halemane,

Professor - retired from

Department of Mathematical And Computational Sciences

National Institute of Technology Karnataka, Surathkal

Srinivasnagar, Mangaluru - 575025, India.

SASHESHA,  8-129/12  Sowjanya Road, Naigara Hills,

Bikarnakatte, Kulshekar Post, Mangaluru-575005. Karnataka State, India.

https://www.linkedin.com/in/keshavaprasadahalemane/

https://colab.ws/researchers/R-3D34E-09884-MI42Z

https://github.com/KpH8MACS4KREC2NITK

https://orcid.org/0000-0003-3483-3521

https://osf.io/xftv8/

 

ABSTRACT

 

This research report presents a deep re-look at the classical Monty-Hall Problem, refuting the widely accepted position held by the leading subject area experts, and establishing that there is no rational basis for a switched choice in the decision to be made by the guest of the game show.

 

Logical consistency requires that any conditionality used in the evaluation process cannot be lifted after the evaluation process, implementing the decision arrived at based on that very conditionality.

 

 

Keywords:        A-Priori Probability; A-Posteriori Probability;

                        Mutually Independent Events; Joint Probability;

                        Mutually Exclusive Together Exhaustive Alternatives;

                        Restricted Probability, Conditional Probability. Marginal Probability.

 

AMS MSC Mathematics Subject Classification: 60A99; 60C99; 62A99; 62C99.

 

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The files will be made publicly available on December 31, 2222.

Reason: Lots of revisions