The Monty Hall problem is a probability puzzle with a solution that is counterintuitive to many.

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Translation between Monty Hall and Gold bars problem

When I read this question (problem restated below), and the first comment, I was drawn to the great similarities between this problem and the Monty Hall problem (asking for the winning probability if ...
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Monty Hall Problem: Reasoning Behind the Logic [duplicate]

I watched Lecture 18: Probability Introduction from the MIT OpenCourseWare where the lecturer talks about the Monty Hall problem. He draws the decision tree and we find that actually you have a 2/3 ...
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A slight variant of the Monty Hall Problem.

Suppose that there are 4 doors having 2 cars and 2 goats. You arbitrarily choose a door, then Monty shows a door with a goat. What is the probability of getting a car if you switch. Apparently the ...
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Unknown Card Monty Hall

I'm trying to understand this problem better and whether or not it is defined as a variant of the classic Monty Hall problem. Let's say there are X cards in a deck of cards. A copy of this deck of ...
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Does a “guarantee” change probability? (variation of three card problem)

This is a variation of a probability question (Bertrand's box, or the three card / two color question) that's been asked many times before. However, this question relates specifically as to whether or ...
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Another Monty Hall Question

I still do not believe the "correct" solution to the Monty Hall Problem. Here is my reasoning: The player can pick from $1$ of $3$ doors. The prize can be behind $1$ of $3$ doors. Monty will open $1$ ...
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Monty Hall problem (shifting probabilities)

I was explaining the Monty Hall problem to someone, and I explained it in this way: You have three doors, and you pick one, giving you a $1/3$ chance of being right. The presenter opens one of the ...
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Monty Hall Problem with Five Doors

My math class went over the original Monty Hall problem a few days ago, then looked at a related question where the number of doors was increased to five. There was a struggle to figure out what the ...
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Monty Hall problem extended with expectations i.e. prior probabilities

I am fascinated by the Monty Hall problem and its variants such as N-doors version here. Now suppose expectations. How does the Monty Hall problem changes with expectations? Simple example ...
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Variation of Monty Hall problem [duplicate]

On a game show, the Monty Hall problem is being played. The contestant is told to pick a door, and he does, but just before being able to tell the host which door he picked, one of the doors that the ...
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Monty Hall/Bayes' Theorem conflict?

Given the Monty Hall problem: Assuming Player chooses door A and Monty opens door B, what is the probability that the car is behind door C? The following calculation can be found in many places in ...
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Extended Monte Hall problem (Hallway)

Assume that the number of doors which conceal a prize each lead down a multitude of different paths. Imagine the Monty hall problem extended. version, where each door has a another set of n doors ...
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Gambler's Fallacy, or Monty Hall Problem?

Assume a case where there are 30 doors. 29 have goats, and 1 has a car. You begin to chose doors one by one until there are only two doors left. All the doors you have chosen have been goats, leaving ...
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The Monty Hall Problem: 2 contrasting answers.

In the Monty Hall Problem, there are three doors. Let's take two scenarios. In both the host reveals that there is a goat behind door number two. In the first scenario, I choose the first door. ...
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Monty Hall Problem Extended Using Bayes's Theory

I know there is a question on the website concerning the extension of the monty hall problem. The question is provided with very good answers given by the participants on the website which I would ...
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Monty Hall Problem Solve Using Detailed Algebra

I have been searching the monty hall problem for two days now and I generally understand it but I am having a very hard time solving the monty hall problem using Bayes's theory. I do not know what ...
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50/50 Joker of “Who wants to be a Millionaire” - A “Monty Hall Problem” variation?

So the Monty Hall Problem itself is widely known and understood. Nonetheless, a friend of mine and I were wondering whether the the same strategy could affectively be applied by a participant of ...
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Monty hall - random goat reveal

This is a variation of the famous Monty Hall problem. I assume you know the usual setup. Here, the host behaves a bit different: The host knows what lies behind the doors, and (before the ...
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3 Pancakes Problem [duplicate]

You have 3 pancakes in a stack. 1 is burned on both sides, 1 burned on 1 side, 1 burned on no sides. What is P(burned on other side — burned on the top)? Intuition (which is always suspect in ...
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Help with monty hall problem

I'm having trouble understanding something about the monty hall problem. If monty opened one door before you arrives, then you would have a 50/50 chance, whichever door you picked, because there are ...
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Great Monty Hall application in real life?

Suppose you are doing a multiple choice question with 4 different answers you have no ideas about. You mentally choose one (say A), and as you are about to write that down... you suddenly remember 2 ...
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Does The Monty Hall Problem Still Apply With Infinite Doors?

Here's been a bunch of questions on the Monty Hall problem, so I'll assume people know the basics. This answer helped clarify a few things for me, but talking with some colleagues yesterday, someone ...
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Cards Probability like Monty Hall Problem

During a certain game show, contestants are presented with a standard 52-card deck. If the contestant picks the Ace of Spades they win the grand prize. The contestant is asked to select a card and put ...
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Modified monty hall problem

Hello how to show the following You are given the choice of 3 doors. Behind one is a car and the other two are goats. You pick a door uniformly at random say 1, and Monty opens another door, say 3 ...
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What is the Nash Equilibrium of the Monty Hall Problem?

The Monty Hall problem or paradox is famous and well-studied. But what confused me about the description was an unstated assumption. Suppose you're on a game show, and you're given the choice of ...
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Monty Hall problem vs. roulette systems - how are they different?

So I got interested in the Monty Hall problem - I understand what it's about, but somehow I can't wrap my head around the idea of the final choice not being 50/50. More precisely: we all know (or ...
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Variation of the Monty Hall Problem.

Suppose instead of the normal Monty Hall scenario in which we have two empty doors and a car residing behind the third, we instead have three types of objects. One is a car, one is a hard drive, and ...
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Monty Hall Three-Door Puzzle

I have a doubt concerning a question about the Monty Hall Three-Door Puzzle, in probability. I found this problem in Rosen's "Discrete Mathematics and Its Applications". The Monty Hall Three-Door ...
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A variant of the Monty Hall problem

Everybody knows the famous Monty Hall problem; way too much ink has been spilled over it already. Let's take it as a given and consider the following variant of the problem that I thought up this ...
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Variation on the Monty Hall Problem

Many of us know the Monty Hall Problem But the other day I was asked a variation of this riddle. The answer of the original question is, of course, $ 66\% $ in favor of changing doors, but this is ...