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  1. betterexplained.com

    The Monty Hall problem is a counter-intuitive statistics puzzle: There are 3 doors, behind which are two goats and a car. You pick a door (call it door A). You're hoping for the car of course. Monty Hall, the game show host, examines the other doors (B & C) and opens one with a goat. (If both doors have goats, he picks randomly.) Here's the game: Do you stick with door A (original guess ...
  2. statology.org

    The Monty Hall problem has significant implications in decision theory, particularly in how humans assess risk and make choices: Overconfidence in Intuition: People often rely on their gut feelings in decision-making, which can lead to systematic errors.
  3. brilliant.org

    The Monty Hall problem is a famous, seemingly paradoxical problem in conditional probability and reasoning using Bayes' theorem. Information affects your decision that at first glance seems as though it shouldn't. In the problem, you are on a game show, being asked to choose between three doors. Behind each door, there is either a car or a goat. You choose a door. The host, Monty ...
  4. blog.practicaljournal.com

    The Monty Hall problem is a famous probability puzzle that has been the subject of many debates and controversies. It is a counter-intuitive statistics puzzle that has been widely discussed and analyzed in various fields, including mathematics, statistics, and economics. In this blog post, we will delve into the Monty Hall problem, its history, and its solution, and explore the mathematical ...
  5. mathworld.wolfram.com

    The Monty Hall problem is named for its similarity to the Let's Make a Deal television game show hosted by Monty Hall. The problem is stated as follows. Assume that a room is equipped with three doors. Behind two are goats, and behind the third is a shiny new car. You are asked to pick a door, and will win whatever is behind it. Let's say you pick door 1. Before the door is opened, however ...
  6. discovery.cs.illinois.edu

    The Monty Hall Problem is based off the popular TV game show Let's Make a Deal that first aired in 1963 and was hosted by Monty Hall for near 30 years. The premise of the show was that there were three doors for you to choose between: two contained nothing of value to you (a goat in the game show!) and the third door contained $1,000,000.

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    Monty Hall problem

    Mathematical problem

    The Monty Hall problem is a brain teaser, in the form of a probability puzzle, based nominally on the American television game show Let's Make a Deal and named after its original host, Monty Hall. The problem was originally posed in a letter by Steve Selvin to the American Statistician in 1975. It became famous as a question from reader Craig F. Whitaker's letter quoted in Marilyn vos Savant's "Ask Marilyn" column in Parade magazine 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? Savant's response was that the contestant should switch to the other door. Wikipedia

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