The part about never having a prize behind it was not explained to me.
It was just "you pick a door, host opens a door without prize". That doesn't imply that there's never a prize behind the door that the host opens.
It was just "you pick a door, host opens a door without prize". That doesn't imply that there's never a prize behind the door that the host opens.
The entire activity is meaningless if the host opens the door with the prize—any questions about switching or not are pointless, since obviously both closed doors are worthless. So that can’t be the interpretation of the puzzle.