We've arranged a global civilization in which most crucial elements profoundly depend on science and technology. We have also arranged things so that almost no one understands science and technology. This is a prescription for disaster.
In 1990, Marilyn vos Savant, known for having one of the highest recorded IQs, answered a seemingly simple probability question in her Parade magazine column. The question, based on the Monty Hall problem from Let's Make a Deal, asked whether a contestant should switch doors after one was revealed to have a goat behind it. Marilyn's answer was yes. Switching doors increases your chances of winning from one-third to two-thirds.
And then the floodgates opened. She received over 10,000 letters, many from mathematicians and scientists, telling her she was wrong. Some of them were downright rude, mocking her response and dismissing it as "female logic." One particularly salty critic even wrote, "You are the goat."
But Marilyn did not back down. She stood by her answer, patiently explaining the math to an audience that really should have known better. Eventually, top universities ran simulations proving she was right. MIT confirmed it. MythBusters confirmed it. Even some of the same academics who originally mocked her ended up apologizing.
It is a perfect example of how even the smartest people can get caught up in their own biases. Sometimes, being right means standing firm even when everyone else insists you are wrong. It reminds me of the scientists in Star Trek: The Next Generation who discovered that warp drive was damaging subspace. At first, Starfleet dismissed their concerns because warp travel was essential to exploration and commerce. Nobody wanted to believe that something so fundamental to their way of life could be harmful. But the science was sound, and despite skepticism, they eventually proved that repeated high-warp travel was tearing holes in space itself. Like Marilyn, they faced resistance, doubt, and ridicule, but in the end, the truth won out.
So next time the so-called experts try to tell you that your logic is flawed, make sure you double-check their math first. You might just be the one who is right.
Live long and prosper. RR
P.S. Once in a while even I'm wrong at the subject I'm an expert in, so if you ever come across something in one of my videos that's wrong - or perhaps you know something that I don't - please speak up! I may be an expert, but I'm far from infallible.
I had read her original article. Her ability to not only be correct but to also explain it is such a way that the reader can understand it is a testament to her intellect. It is definitely worth the read.
Thomas Gonder
@Reply 15 months ago
@ Matt I too remember reading her answer in Parade Magazine. A freebie that I had to deliver to doorsteps early Sunday mornings. I confess, I didn't get it. But my dad, an eighth-grade math teacher read it, and said she was correct. Me, an ex-statistics teacher, I still have a problem reconciling that the odds don't reset. Some movie with Keven Spacey cashed in on the logic, I don't remember the movie's name.
One of my favorites: An airplane has four engines, and the probability of any one engine failing in a flight is 10%. The plane can land safely with two engines. What is the probability of having a safe flight (excluding other factors)? Try before you AI it if you took statistics.
How lotteries calculate the odds is way beyond what I can figure out. I'm just smart enough to know not to play unless the payout is close to a billion $. The expected benefit of a bag of m&m peanuts is much higher.
I play the lottery because "someone" has to win and even if the odds are astronomical, it "could" be me.
Lars Schindler
@Reply 15 months ago
@Thomas Gonder
99,63%?
Thomas Gonder
@Reply 15 months ago
@Lars Tell me you didn't use AI. Back when I taught statistics, the standard was (according to my advisor) that probabilities are always between 0 and 1. Never a percentage. I know that's not the "new standard". But good answer ignoring that.
Lars Schindler
@Reply 15 months ago
@Thomas
In fact, I already used ChatGPT for another maths problem today. Short version: ChatGPT has admitted its mistake. ^^
‘probabilities are always between 0 and 1. Never a percentage.’
I see no contradiction there. :-)
Whether 0.8 or 4/5 or 80% - in the end, all these numbers are between 0 and 1.
Thomas Gonder
@Reply 14 months ago
I know Lars. However those ivory tower mathematicians can be real stickers for certain details.
Likewise, when calculators were first available, I had an economics professor teaching all the time value of money equations. He insisted that we calculate with rounding to two decimal places. As he claimed financial institutions at the time did it with tables. If you used a calculator during a test, you would get the wrong answer if you weren't very careful.
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