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What is the montry hall problem?
Perhaps you mean "Monty Hall" problem. If so, see the related question: What is the Monty Hall Paradox?
How is the monty hall problem related to math?
The Monty Hall Problem is an example that shows people are not always good at correctly estimating probabilities. To be fair, the problem is sometimes describedpoorly. The problem is obviously related to the theory of probability, in mathematics.
How does the three-door game work?
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In the Monty Hall problem if once the player has picked a door another door is randomly opened and happens to reveal a goat should the player switch his choice to the last door?
No, there's no reason to do so, switching in this case will win half of the time, exactly like sticking to the initial choice. This Monty Hall problem variant is called the "Monty Fall" or "Ignorant Monty" variant. The possible scenarios which made switching win more often in the original Monty Hall problem, correspond in this variant to the scenarios where the randomly opened door revealed the car (and as such are not considered here).
A game-show host has a car behind 1 of 3 doors There's a goat behind other doors You point to door 1 The host shows you that door 3 has a goat What should you do- switch stay doesn't matter?
This is the well known Monty Hall problem, named after the presenter of a TV game show which presented players with this dilemma. For a good explanation of the background and winning strategy, see the Wikipedia: Monty Hall problem at: http://en.wikipedia.org/wiki/Monty_Hall_problem
