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MONTY-HALL PROBLEM: TO SWITCH OR NOT TO SWITCH: PARADOX RESOLVED
DOI:
https://doi.org/10.31224/5102Keywords:
a-priori probability, a-posteriori probability, Mutually Independent Events, Mutually Exclusive Together Exhaustive Alternatives, Joint Probability, conditional probability, Restricted Probability, Marginal ProbabilityAbstract
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.
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 2025-08-27
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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
minor typos corrected, some minor updates in Sections 5, 6 & 7