It seems to me that a lot of what trips people up is that they don't realize that the host specifically opens a door which they know does not to contain a car (as opposed to selecting the door to open randomly).
Therefore, it seems to me that many people fall for it not so much because they misunderstand the probability but because the rules of the game are designed to be misleading.
Therefore, it seems to me that many people fall for it not so much because they misunderstand the probability but because the rules of the game are designed to be misleading.