> Is there a particular reason that so many people were wrong ... Yes. The difficulty with the Monty Hall problem has to do with grasping all the probabilities

> Is there a particular reason that so many people were wrong ... Yes. The difficulty with the Monty Hall problem has to do with grasping all the probabilities represented by all the outcomes at once. I personally didn't fully understand it until I wrote a list of all the possible outcomes and summed the probabilities.