I just read something fascinating about how intuition can totally deceive us regarding probability. It’s about the famous Monty Hall problem — a puzzle that in 1990 caused a real storm in the world of mathematics.

Do you know it? Three doors, behind one a car, behind two goats. You choose one door, the host shows a goat behind one of the remaining doors, and then asks: will you stick with your choice or switch? The question seems simple, but the answer is not at all.

Marilyn vos Savant — a woman listed in the Guinness Book of Records for her extraordinary IQ — answered in her column in Parade magazine: always switch. Her logic? Switching increases the chance of winning from one-third to two-thirds. Simple, but counterintuitive.

And here’s where it gets interesting. She received over 10,000 letters, nearly a thousand from people with doctorates. Ninety percent of them said she was wrong. Scientists mocked her, wrote that it was the biggest blunder they had ever seen. Some even suggested that women simply don’t understand math the way men do.

But wait — she was right. MIT conducted computer simulations. Thousands of trials. Consistently showed that the success rate of switching is exactly two-thirds. The MythBusters program verified this experimentally. Many scientists who criticized her later admitted their mistake.

Why did everyone get it wrong? Because people think that after discovering the goat, the chance is fifty-fifty. They ignore the fact that the original probabilities (one-third for the car, two-thirds for the goat) do not change. That’s a reset error — we see the second choice as a completely new event, when in fact it’s a continuation of the original odds.

Marilyn vos Savant, with an IQ of 228 (recorded in the Guinness Records), read all 24 volumes of the Encyclopaedia Britannica as a child and memorized entire books. Despite her genius, she had to give up her studies to support her family. Her column Ask Marilyn later became known for solving complex puzzles — and it was there she gave us this lesson about logic and intuition.

This whole story strikes me. Even experts can be blind to obvious solutions when they go against intuition. Marilyn vos Savant’s story shows the power of logic and perseverance — she stuck to her answer even when the whole world disagreed. It’s not just a lesson in probability theory. It’s a reminder that sometimes you have to trust math more than the crowd.