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A barber is someone who cuts men's hair. So if the greatest barber was a woman, your statement would be incorrect.
Many barbers cut their own hair. The world's greatest wouldn't have any trouble.
True, but there's no way giving yourself a haircut is 100% of the quality of being able to do it "normally." Even if it's 99.9% as good as they could do on someone else, it's still not the world's greatest.
It can easily be 100% the quality, it's the DIFFICULTY that scales up, not necessarily the result
I don't think I can agree with that. I suppose it's possible in a theoretical sense, but the margin for error is so infinitesimally small (your point about difficulty) I'd expect the odds of getting the exact same haircut no matter how you're doing it are too low.
Side note... Are the odds too low or too high? Too high seems like 1 billion to 1, which makes sense, but too low could also mean a low ratio, which would be better odds? 😂
The haircut is the end result. We've established that it's possible to achieve a perfect score when the greatest barber isn't hindered in some way. That's how they got the title. By forcing them to cut their own hair to achieve that perfection you've only increased the difficulty of getting that result. It would take longer and require more mirrors, failure would become more likely but there's definitely still a large window for success.
I could argue the use of mirrors is a hindrance, BUT...
We may agree on this: the world's greatest barber probably never receives the world's greatest haircut.
They probably don't.
At least, op had the idea