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Preprint / Version 2

MONTY-HALL PROBLEM SOLVED: PARADOX RESOLVED

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DOI:

https://doi.org/10.31224/5102

Keywords:

a-priori probability, a-posteriori probability, conditional probability, Joint Probability Distribution, Mutually Independent Events, Mutually Exclusive Together Exhaustive Alternatives

Abstract

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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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