01 · Ties
Why the winners are so lucky
With whole-number scores, about 1 in 100 applicants score 10 for both hard work and talent. That is roughly 1,000 people for 10 places.
Any weight on luck, even 1%, decides between them. So the 10 selected have near-perfect luck, as well as near-perfect work and talent.
With a normal distribution, top scores are rare and ties are rare. Luck needs a much larger share before it shows.