You know, I recently remembered the story of Marilyn vos Savant and her famous answer to the Monty Hall problem. It’s a classic example of how logic beats intuition.

It all started in 1990. Marilyn vos Savant, known for her record-breaking IQ, published a simple answer to the problem in her column for Parade Magazine: if you choose a door that could have a car or a goat behind it, and the host reveals a goat behind one of the remaining doors — you should switch to the other door.

Simple? Yes. But the public reaction was wild. Over 10,000 letters came in, nearly a thousand from people with doctoral degrees. And 90% of them were convinced she was wrong. Can you imagine? People with PhDs argued with her.

Why was Marilyn vos Savant right? Because mathematics doesn’t lie. If you switch doors, the probability of winning becomes 2/3, and if you stick with your original choice — only 1/3. It’s counterintuitive, but true. MIT ran computer simulations, and MythBusters confirmed the result experimentally.

Interestingly, Marilyn vos Savant herself went through a tough journey. Despite her extraordinary abilities, she faced serious difficulties in her youth — she even had to leave the University of Washington to help with her family’s business. But in 1985, she started writing the Ask Marilyn column, which later brought her fame.

Here’s a paradox: people often trust intuition more than logic. Marilyn vos Savant’s story and the Monty Hall problem became a great lesson that sometimes the correct answer seems wrong because we poorly understand probabilities. Probability theory is full of such brain traps.