Bonus question: Does the door maintain its odds if a new person walks up and has to choose between the two (1/3 and 1/2 or 1/1000000 and 1/2)?
Is the new person told the story of the door opening, and which was chosen / which one was left unopened by the host? I imagine if they know nothing then it's a straight 50/50 choice for them.
Is the new person told the story of the door opening, and which was chosen / which one was left unopened by the host? I imagine if they know nothing then it's a straight 50/50 choice for them.