The document describes the Monty Hall problem, a probability puzzle involving a game show scenario where a participant chooses one of three doors to try to win a prize, such as a goat. After selecting a door, the host opens one of the unchosen doors to reveal it does not contain the prize. The participant is then given the option to stick with their original choice or switch to the other unopened door. The problem explores whether the participant should stick with their original choice or switch doors. Solving the problem mathematically can provide a satisfying result.

1. The Monty-Hall-Problem
or
Monty-Hall-Dilemma
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Oberstufengymnasium
Goetheschule Wetzlar • Frankfurter Straße 72 • 35578 Wetzlar
www.goetheschule-wetzlar.eu

2. The Monty Hall Problem is something …
1. … that can be performed in any
educational institution.
2. … you can just simply play as a game.
3. … you can examine in a strictly
mathematical way.
4. … advanced students could program as a
game (as in the example).
Either way can lead to a satisfying result
solving the problem at hand!!!
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3. What is the problem?
Imagine you are in a game show.
You have the choice of three doors.
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4. Behind one of the three doors is a goat.
The aim is to win this goat!
2
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5. The Showmaster knows where the
goat is.
He asks the candidates to choose
one of the three doors guessing
where the goat may be.
For example the candidate chooses door two.
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6. 4
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After the candidate has chosen his door (in our example: door
2) the showmaster will open one of the two remaining doors
behind which there is no goat.
For example door three.

7. The problem to be solved is the question:
Should he change the door?
Now the candidate may decide whether to stick to his
original choice (in our example door 2) or to pick a new door
(in our example door one).
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8. 6
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So then … Let's Play!

9. The table shows that the
candidate should change!
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changed Not changed
won
lost

10. Thank you for your
attention!!!
;-)
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