Something caught my interest today - the story of Marilyn vos Savant and her famous confrontation with the Monty Hall problem. It all started in 1990, when this woman with an IQ of 228 gave an answer that stirred the entire mathematics world.

For context: a game show contestant stands in front of three doors. Behind one door is a car, behind the other two are goats. The contestant chooses a door, the host reveals a goat behind one of the remaining doors, and then asks - stay or switch?

Marilyn vos Savant clearly said: always switch. And that’s where it all began - she received over 10,000 letters, nearly a thousand from people with doctorates, claiming she was completely wrong. Someone even wrote that it was the biggest blunder they had ever seen. There were also comments suggesting that perhaps women simply don’t understand math as men do.

But here’s the fact - Marilyn vos Savant was entirely correct. Switching doors actually increases the chances from 1/3 to 2/3. Why? Because if the initial choice is a goat (which has a 2/3 probability), the host always reveals the other goat, and switching guarantees a win. This is mathematics, not opinion.

What fascinates me most is how quickly this was verified. MIT conducted thousands of computer simulations and confirmed exactly what she said. The Mythbusters program tested the same. People who criticized her had to admit their mistake.

This whole situation shows something important - how our intuition deceives us. After revealing a goat, people think the odds are 50/50, but they ignore the fact that initially, the probabilities were 1/3 and 2/3. It’s a reset error - we treat the second choice as if it’s new, instead of a continuation of the initial probabilities.

Interestingly, Marilyn vos Savant is not only a person with a verified IQ of 228 in the Guinness Book of World Records. At age 10, she read all 24 volumes of the Encyclopaedia Britannica and memorized entire books. And despite this genius, she grew up in financial hardship, had to drop out of college to support her family.

Her story with the Monty Hall problem is a lesson that being logical and consistent doesn’t always bring immediate acceptance. But in the end, the truth always comes out. Millions were wrong, and she remains in the history of probability theory.