MONTY-HALL PROBLEM : TO SWITCH OR NOT TO SWITCH : PARADOX RESOLVED
Creators
Description
MONTY-HALL PROBLEM : TO SWITCH OR NOT TO SWITCH
PARADOX RESOLVED
PIPR:©: Dr.(Prof.) Keshava Prasad Halemane,
Professor - retired from
Department of Mathematical And Computational Sciences
National Institute of Technology Karnataka, Surathkal
Srinivasnagar, Mangaluru - 575025, India.
SASHESHA, 8-129/12 Sowjanya Road, Naigara Hills,
Bikarnakatte, Kulshekar Post, Mangaluru-575005. Karnataka State, India.
https://www.linkedin.com/in/keshavaprasadahalemane/
https://colab.ws/researchers/R-3D34E-09884-MI42Z
https://github.com/KpH8MACS4KREC2NITK
https://orcid.org/0000-0003-3483-3521
https://osf.io/xftv8/
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.
Keywords: A-Priori Probability; A-Posteriori Probability;
Mutually Independent Events; Joint Probability;
Mutually Exclusive Together Exhaustive Alternatives;
Restricted Probability, Conditional Probability. Marginal Probability.
AMS MSC Mathematics Subject Classification: 60A99; 60C99; 62A99; 62C99.