  So, would it be better to show the formal solution for the standard MHP at the beginning of the article without door numbers? I suggest this variant:  Formal solution for the standard Monty Hall problem  :When selecting one of three doors, the chances on the car are 1/3 each. The possibilities to open one door showing a goat are: :The Car being behind the host's second door that he offers as an alternative to switch on, he must open the door with his only Goat behind: (1/3)x1 = 1/3 :The Car being behind the guest's selected door, then the host, though disposing of two Goats, opens just one of his two doors: (1/3)x(1/2) = 1/6 :These are the only possibilities for the host to open a door showing a Goat. Altogether, the host opens that door with probability 1/3+1/6 = 1/2. :After the host opened one door showing a Goat, the Car is behind his second door offered as an alternative to switch on exactly (1/3)/(1/2) = 2/3 of the time. Result: In the standard Monty Hall problem, the odds for switching versus staying are exactlly 2:1, irrespective of any particular actual door numbers. :Would that be easier to access?    