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Preprint / Version 4

MONTY-HALL PROBLEM: TO SWITCH OR NOT TO SWITCH: PARADOX RESOLVED

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DOI:

https://doi.org/10.31224/5102

Keywords:

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

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.

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

minor typos corrected, some minor updates in Sections 5, 6 & 7