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You know, there is a problem that simply blows the minds of even the most logical people. The Monty Hall problem is three doors, behind one is a car, behind two are goats. You choose a door, the host opens one with a goat, and then you're offered to switch your choice. Most think it doesn't matter, but it turns out, that's not the case at all.
That's when Marilyn vos Savant stepped in with her famous IQ of 228. In 1990, she answered in her column for Parade Magazine that you must definitely switch doors. And do you know what happened? A literal flood of letters — over 10,000! About a thousand from people with doctoral degrees, and almost all of them criticized her. Imagine, people with scientific degrees were convinced Marilyn vos Savant was wrong.
But she was right. If you switch the door, the probability of winning becomes 2/3, and if you stick with your original choice — only 1/3. It sounds strange, but this is pure mathematics. Later, scientists from MIT conducted computer simulations, and MythBusters even experimentally tested it — everything confirmed.
Marilyn vos Savant herself has an interesting biography. Besides her record-breaking IQ, she faced difficulties in life — she even had to drop out of the University of Washington to help with the family business. But in 1985, she started writing the column Ask Marilyn, which over time became famous worldwide.
This story about Marilyn vos Savant and the Monty Hall problem is a great example of how our intuition can deceive us. Logic and probability often work differently than we expect. The paradox remains a classic lesson about the difference between what seems right and what is truly right.