Interesting story from 1990 that’s worth recalling. Marilyn vos Savant, a woman with a famously high IQ, fell into a mathematical trap that caused quite a stir. All because of the Monty Hall problem.

Most of us think similarly — when we have a choice of doors and one option is eliminated, the odds are 50/50, right? Not quite. vos Savant responded in her column in Parade that you should always switch doors. Her reasoning was simple: switching increases the chances from one-third to two-thirds.

The reaction was stunning. She received over ten thousand letters, nearly a thousand from doctors, ninety percent of which claimed she was wrong. People were furious. They sent letters full of sarcasm, suggesting it was the biggest mistake they’d ever seen. Some even commented that maybe women just don’t understand math.

But here’s the twist — she was right. Completely right.

Here’s how it works. When you first choose a door, you have a one-third chance of the car and a two-thirds chance of a goat. The host, who knows where the car is, opens a door with a goat. Now the crucial moment — if you initially picked the goat (which happens in two-thirds of cases), switching guarantees a win. If you picked the car (one-third chance), switching will make you lose. Math clearly states — switching wins in two out of three scenarios.

Later, computer simulations by MIT and other institutions confirmed this exactly. Thousands of trials, consistent results — two-thirds success rate. Even a program about debunking myths tackled this problem and verified her explanation.

Marilyn vos Savant, however, had an interesting story. Listed in the Guinness Book of World Records for her unparalleled IQ, she read the entire Britannica Encyclopedia as a child and memorized it. Despite her genius, she faced financial difficulties, dropping out of college to support her family.

What fascinates me? It’s that most people don’t understand why it works. Intuition tells us it’s 50/50. But we think wrongly about the initial odds. We assume that discovering the goat resets the problem, when in fact, this information from the host changes everything.

vos Savant’s story is a lesson. A lesson that logic beats intuition, and sometimes you have to be willing to stand against the crowd, even when almost everyone tells you you’re wrong. Her perseverance in defending the correct answer, despite overwhelming criticism, left a mark on probability theory. Many who criticized her later admitted their mistake.