蒙提霍爾問題(英文:Monty Hall problem),亦稱為蒙特霍問題、山羊問題或三門問題,是一個源自博弈論的數學遊戲問題,參賽者會看見三扇門,其中一扇門的裏面有一輛汽車,選中裏面是汽車的那扇門,就可以贏得該輛汽車,另外兩扇門裏面則都是一隻山羊。當參賽者選定了一扇門,主持人會開啟另一扇是山羊的門;並問:「要不要換一扇門?」依照瑪麗蓮·沃斯·莎凡特的見解,參賽者應該換,換門的話,贏得汽車的機率是2/3。這問題亦被叫做蒙提霍爾悖論:因為該問題的答案雖在邏輯上並無矛盾,但十分違反直覺。
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