The perfect statistical trap for nerds! This brilliant twist on the Monty Hall problem completely breaks the original premise. In the real problem, the host knows where the car is and deliberately shows you a goat - that's why switching gives you a 2/3 chance of winning.
But if the host randomly picks a door that happens to have a goat? The probabilities completely change! The bell curve perfectly captures how your IQ correlates with your answer: average intellects confidently yell "SWITCH!" while both the mathematical geniuses and complete math disasters correctly realize it doesn't matter anymore - it's just 50/50 at that point.
Nothing more dangerous than someone who's memorized the solution to a famous problem without understanding why it works! 🤓