REFUTATION OF THE LOGICAL FALLACY COMMITTED BY THE SUBJECT MATTER EXPERTS ON THE MONTY-HALL PROBLEM
Authors/Creators
Description
REFUTATION OF THE LOGICAL FALLACY COMMITTED BY THE SUBJECT MATTER EXPERTS ON THE MONTY-HALL PROBLEM
Dr.(Prof.) Keshava Prasad Halemane,
Professor - retired from
Department of Mathematical And Computational Sciences,
National Institute of Technology Karnataka Surathkal,
Srinivasnagar, Mangaluru - 575025, India.
https://orcid.org/0000-0003-3483-3521
Independent Researcher (no funding)
SASHESHA, 8-129/12 Sowjanya Road, Naigara Hills,
Bikarnakatte, Kulshekar Post,
Mangaluru-575005. Karnataka State, India
https://www.linkedin.com/in/keshavaprasadahalemane/
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-Matter-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;
Mutually Exclusive Together Exhaustive Alternatives; Joint Probability;
Restricted Probability; Marginal Probability; Conditional Probability; Monty-Hall Theorem.
AMS MSC Mathematics Subject Classification: 60A99; 60C99; 62A99; 62C99.