You know, I recently read about one of the most interesting paradoxes in the history of probability, and it reminded me of Marilyn vos Savant. This woman with a legendary IQ became the center of a scandal back in the 90s, when she gave an answer to the Monty Hall problem in her column. At first glance, it seemed like a simple question about three doors—but it split the mathematical community.

It went like this: a participant chooses one door out of three—behind one door is a car, and behind the other two are goats. The host opens one of the remaining doors and shows a goat. The question is: should you change your choice? Marilyn vos Savant answered clearly: yes, you should change it. And that’s when real chaos began—more than 10,000 letters came to the editorial office, almost a thousand from people with doctoral degrees, and 90% insisted that she was wrong.

But here’s the interesting part—she was right. When you switch doors, the probability of winning is 2/3, and if you stick with your original choice, it’s only 1/3. It sounds strange, but it’s not intuition—it’s pure mathematics. Even MIT ran computer simulations, and MythBusters repeated the experiment—everything confirmed her solution.

It’s especially funny, considering the fact that Marilyn vos Savant herself, with such an incredible IQ, went through a difficult path. She even left the University of Washington to help the family business. She began her famous column Ask Marilyn as far back as 1985 in Парад (Parade) Magazine, but it was the Monty Hall problem that made her name a household name.

This case showed just how far intuition can be from logic. The Monty Hall problem has remained a classic example of how even smart people can make mistakes in probabilistic calculations. Sometimes you just need to trust mathematics, not your first impression.