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MONTY-HALL PROBLEM SOLVED: PARADOX RESOLVED
DOI:
https://doi.org/10.31224/5102Keywords:
a-priori probability, a-posteriori probability, conditional probability, Joint Probability Distribution, Mutually Independent Events, Mutually Exclusive Together Exhaustive AlternativesAbstract
This research note presents a quick re-look at the 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 game show guest.
Many a times, the additional knowledge gained, revealing a losing-chance, although leads to an updated smaller sample-space, may not be specific enough for refinement/update on the relative chances between/among the now-available alternatives in the resultant smaller sample-space.
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Posted
2025-08-15 — Updated on 2025-08-18
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Copyright (c) 2025 Keshava Prasad Halemane

This work is licensed under a Creative Commons Attribution 4.0 International License.
Version justification
Justification for submission of revised version - (1) updated ABSTRACT (2) deleted Figure-1 and retained only Table-1 (3) updated CONCLUSION section (4) added ACKNOWLEDGEMENT section (5) updated DEDICATION section