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# logical deduction – The Monty Hall drawback

The different solutions are right.
I simply wished so as to add right here the “great distance” of doing it.
I imply all of the doable instances.

Case 1.
Car Goat Goat

Case 1.1.
You select door 1.

``````Monty opens| change | do not change
2      |  Lose  |      Win
3      |  Lose  |      Win
``````

Case 1.2.
You select door 2.

``````Monty opens| change | do not change
3      |   Win  |     Lose
``````

Case 1.3.
You select door 3.

``````Monty opens| change | do not change
2      |  Win   |     Lose
``````

Case 2.
Goat Car Goat

Case 2.1.
You select door 1.

``````Monty opens| change | do not change
3      |  Win   |     Lose
``````

Case 2.2.
You select door 2.

``````Monty opens| change | do not change
1      |  Lose  |     Win
3      |  Lose  |     Win
``````

Case 2.3.
You select door 3.

``````Monty opens| change | do not change
1      |  Win   |     Lose
``````

Case 3.
Goat Goat Car

Case 2.1.
You select door 1.

``````Monty opens| change | do not change
2      |  Win   |     Lose
``````

Case 2.2.
You select door 2.

``````Monty opens| change | do not change
1      |  Win   |     Lose
``````

Case 2.3.
You select door 3.

``````Monty opens| change | do not change
1      |  Lose  |     Win
2      |  Lose  |     Win
``````

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