Banned Google Interview Puzzle's Surprising Solution 🤔

Can you solve the challenging underlying mathematical puzzle? Special thanks this month to: Kyle, Lee Redden, Mike Robertson, Daniel Lewis. Thanks to all supporters on Patreon and YouTube!
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0:00 problem
1:49 mistake
4:07 estimate
6:23 intuition
8:01 proof

Business Insider
https://www.businessinsider.com/15-banned-google-interview-questions-that-will-make-you-feel-stupid-2011-11
https://www.businessinsider.com/answers-to-google-interview-questions-2011-11#in-a-country-in-which-people-only-want-boys-3

Math Overflow
https://mathoverflow.net/questions/17960/google-question-in-a-country-in-which-people-only-want-boys

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