Let's Make A Deal - The Monty Hall Problem

The Monty Hall Problem, also called the Monty Hall paradox, is a veridical paradox because the result appears impossible but is demonstrably true. The Monty Hall problem, in its usual interpretation, is mathematically equivalent to the earlier Three Prisoners problem, and both bear some similarity to the much older Bertrand's box paradox. The problem examines the counter-intuitive effect of switching one's choice of doors, one of which hides a "prize."

The problem has been analyzed many times, in books, articles and online. In an interview with The New York Times reporter John Tierney in 1991, Hall gave an explanation of the solution to that problem, stating that he played on the psychology of the contestant, and why the solution did not apply to the case of the actual show.