Monty Hall problem revisited once more

TL;DR

This paper revisits the Monty Hall problem to clarify its solution, address misconceptions, and explore its intriguing aspects, despite being thoroughly analyzed over two decades ago.

Contribution

It provides a comprehensive review of the Monty Hall problem, highlighting common pitfalls and discussing aspects that continue to make it an interesting puzzle.

Findings

Clarifies the correct probability solution

Identifies common misunderstandings and pitfalls

Discusses ongoing interest and misconceptions

Abstract

The Monty Hal problem is an attractive puzzle. It combines simple statement with answers that seem surprising to most audiences. The problem was thoroughly solved over two decades ago. Yet, more recent discussions indicate that the solution is incompletely understood. Here, we review the solution and discuss pitfalls and other aspects that make the problem interesting.