This was inspired by the video called "Is Success Luck or Hard Work?" by Veritasium https://www.youtube.com/watch?v=3LopI4YeC4I There he runs simulation of selecting 11 austronauts out of 18,300. If we say there is up to 5% luck contribution in their total score, then how strong the weakest person out of 11 should be?
My simulation shows that the weakest candidate still should be at least in the top 120 candidates, and out of those 11 initially selected 9 got there because of sheer luck.
Here is the code:
from typing import Generator, Tuple