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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 can completely contradict our intuition.
In 1990, this woman with a record IQ of 228 gave an answer in her column that caused a real scandal. The problem is simple: three doors, behind one is a car, behind the other two are goats. You choose a door, the host opens a door with a goat, and then offers you to switch. The question: should you switch or stay?
Marilyn vos Savant answered unequivocally: yes, you should switch. And that’s when the circus began. She received over 10,000 letters, almost a thousand of which were from people with doctoral degrees. And you know what? 90% of them insisted she was wrong. Doctors of science!
But Marilyn vos Savant was right. The whole trick is in the probabilities. If you switch doors, the chance to win the car is 2/3. If you stay with your original choice — only 1/3. It sounds crazy, but that’s the truth.
Later, MIT conducted computer simulations, MythBusters did experiments — all confirmed her answer. It turned out that our intuition misleads us because we’re calculating probabilities incorrectly.
By the way, Marilyn vos Savant’s story itself is interesting. She left the University of Washington to help with her family business, and then in 1985, she started writing the Ask Marilyn column in Parade Magazine. And five years later, she blew up the internet with this problem.
This case clearly shows why you shouldn’t rely solely on first impressions. Sometimes, logic and mathematics give a completely different answer than our brains do.