Something interesting came to my mind while reading about the history of the Monty Hall problem. You know, that puzzle from the 90s that literally divided mathematicians? It’s about Marilyn vos Savant, the woman with the highest IQ in history, who in 1990 gave an answer that brought a wave of criticism upon her. Over ten thousand letters. Nearly a thousand from PhDs. And ninety percent of them said she was wrong.

The scenario is simple. Three doors. Behind one is a car, behind two are goats. You choose a door. The host, who knows where the car is, opens one of the remaining doors and reveals a goat. Now you have a choice: stick with your original choice or switch?

Marilyn vos Savant clearly said: always switch. Her reasoning was that changing doors increases the chance of winning from one-third to two-thirds. This seemed absurd to most people.

The reaction was explosive. Scientists claimed it was the biggest blunder they had ever seen. Some even wrote that women simply don’t understand math the way men do. But here’s the catch: Marilyn vos Savant was absolutely right.

Mathematics is ruthless. If initially you chose a goat, which has a two-thirds probability, then the host will always reveal the other goat. Switching guarantees you the car. If you initially chose the car, which has a one-third probability, then switching will make you lose. But statistically, by switching doors, you win in two out of three scenarios.

MIT researchers ran computer simulations. Thousands of trials. Consistently, they showed that the success rate of switching is exactly two-thirds. Even popular myth-busters tested it and confirmed Marilyn vos Savant’s explanation. Many scientists who criticized her later admitted they were wrong.

Why does this seem so counterintuitive? People usually think that once one door is opened, the odds even out to fifty-fifty. They ignore the initial probability. That’s a reset error. The second decision isn’t a new event; it’s a continuation of the original chances. The small number of doors makes the problem seem simpler than it actually is.

Marilyn vos Savant herself is a fascinating figure. She was listed in the Guinness Book of World Records for her unparalleled intelligence. As a child, she read all twenty-four volumes of the Encyclopaedia Britannica. But despite her genius, she grew up in financial hardship and dropped out of college to support her family. Her column Ask Marilyn later became a platform for sharing complex puzzles that earned her both admiration and attacks.

What strikes me about this story is the lesson about the gap between intuition and logic. Marilyn vos Savant stuck to her answer despite widespread ridicule. Ultimately, she proved that millions of people were wrong. It’s a testament to the power of logic, perseverance, and the courage to question public opinion, even when everything seems overwhelming.