A person's total luck is constant over a lifetime. The remaining half of the candidates already spent some of their luck in this selection, so they'll be on average less lucky than the discarded half.
> A person's total luck is constant over a lifetime
Ah yes, the much revered cosmological fairness constraint.
Even assuming that was genuinely how luck works, the conclusion does not follow from the premise because it’s obvious not everyone “starts with” the same amount of luck to spend.
Donald Trump disproves the fixed luck hypothesis (and the Karma hypothesis!)
No, luck would be some expression of the difference between the average and the individual outcomes - it only exists relative to a population at the point in time when it is measured.