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  1. Monty Hall problem. In search of a new car, the player chooses a door, say 1. The game host then opens one of the other doors, say 3, to reveal a goat and offers to let the player switch from door 1 to door 2. The Monty Hall problem is a brain teaser, in the form of a probability puzzle, based nominally on the American television game show Let ...

  2. Learn why switching doors in the Monty Hall problem gives you a better chance of winning the car. Explore the game, the filter, the probabilities, and the visualization of the puzzle.

  3. 3 days ago · Learn how to solve the Monty Hall problem, a famous paradox in conditional probability and reasoning. See the possible outcomes, the decision tree, and the Bayes' theorem explanation.

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  4. Mar 7, 2022 · The Monty Hall Problem Explained Visually. To illustrate why switching doors gives you a higher probability of winning, consider the following scenarios where you pick door 1 first. Scenario 1: You pick door 1 and the prize is actually behind door 1. In this case, Monty will open either door 2 or 3 and show you that nothing is behind one of ...

  5. Aug 22, 2023 · Learn how to solve the famous Monty Hall problem, a probability puzzle where you have to choose between two doors with a car and a goat behind each. See the sample space, events, conditional probability, and two approaches to the problem.

  6. Learn the famous thought experiment of the Monty Hall problem, where you have to choose a door with a prize behind it. Watch the video, see the analysis and read the comments from other learners who discuss the probabilities and strategies.

    • 7 min
    • Sal Khan
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  8. 6 days ago · 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, someone who knows what's behind the doors (Monty Hall) opens one of the other two doors, revealing a...

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