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this means even without constraining the host to pick randomly if the player initially selects the car, the player is never worse off switching.
this means even without constraining the host to pick randomly if the player initially selects the car, the player is never worse off switching.
(1991) and gillman (1992) both show a more general solution where the car is randomly placed but the host is not constrained to pick randomly if the player has initially selected the car, which is how they both interpret the well known statement of the problem in "parade" despite the author's disclaimers.
(1991) and gillman (1992) both show a more general solution where the car is (uniformly) randomly placed but the host is not constrained to pick uniformly randomly if the player has initially selected the car, which is how they both interpret the statement of the problem in "parade" despite the author's disclaimers.
