The Monty Hall Problem

The Monty Hall Problem, similar to the Three Prisoners and Bertrand Box Paradox, It was first posed by Steve Selvin in 1975 and came to notoriety in 1990 when featured in Marilyn vos Savant's "Ask Marilyn" column in Parade magazine.


Suppose you're on a game show, and you're given the choice of three doors: Behind one door is a car; behind the others, goats. You pick a door, say No. 1, and the host, who knows what's behind the doors, opens another door, say No. 3, which has a goat. He then says to you, "Do you want to pick door No. 2?" Is it to your advantage to switch your choice?

This parametric set allows you to print yourself enough goats, cars and doors to play it out and find out for yourself if it's better to switch or stay.