TheMonty Hall problemis a brain teaser, in the form of a probability puzzle, loosely based on the American television game showLet's Make a Dealand named after its original host, Monty Hall. The problem was originally posed in a letter by Steve Selvin to theAmerican Statisticianin 1975. It became famous as a question from a reader's letter, quoted in Marilyn vos Savant's "Ask Marilyn" column inParademagazine in 1990:

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?

• Would you stay with your original door selection, or would you switch? Explain your reasoning.
• Watch the following video about the Monty Hall Problem.

Monty Hall Problem

(If you would like additional explanation, you can watch the following additional videos:

Monty Hall Problem for Dummies or Probability and the Monty Hall Problem or The Monty Hall Problem - Explained )

• Indicate which video(s) you watched. If you found another one on your own, include the link.
• What is the probability of winning if you stay with your original door selection?
• What is the probability of winning if you switch to the other door after you've been shown the door with a goat?
• why a contestant should switch doors on the game show.

Note: Parts of this discussion were based on CC LICENSED CONTENT, ORIGINAL

• Discussion: Probability.Provided by: Lumen Learning.License:CC BY-SA: Attribution-ShareAlike