MontyPython
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ABCDEFGHIJKLMNOPQRST
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Door 1Door2Door3guest chooseshost showschance of occurringnew choiceresult of no changeresult of change
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carxx1216,663winfail
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carxx1316,662winfail
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carxx2316,66shoulc pick 1, but can't choose 1, would display the car1failwin
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carxx2316,661failwin
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carxx3216,66should pick 1, but can't choose 1, would display the car1failwin
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carxx3216,661failwin
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xcarx1316,66should, but can't choose 2, would display the car2failwin
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xcarx1316,662failwin
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xcarx2116,663winfail
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xcarx2316,661winfail
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xcarx3116,662failwin
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xcarx3116,66can't choose 2, would display the car
2failwin
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xxcar1216,663failwin
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xxcar1216,66should pick 3, but can't choose 3, would display the car3failwin
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xxcar2116,663failwin
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xxcar2116,66can't choose 3, would display the car3failwin
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xxcar3116,662winfail
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xxcar3216,661winfail
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this displays the door the host chooses to show. Sometimes he can choose between 2 doors to show (when the guest guesses the correct door), otherwise he can show only one door, since showing the other door would reveal the car.grouped so that each user choice has a 33% chance of occurring
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win rate:33%66%
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