The luck egalitarian conception of equal opportunity has attracted the criticism that distributive justice should not be interpreted as calling for the elimination of inequalities between persons arising from natural endowments rather than social arrangements (Nagel 1997 and Anderson 1999). On its face, this is a puzzling claim, because whether being born with a propensity to be tall rather than short turns out to be an advantage or disadvantage depends on social arrangements—on whether the individual gets adequate nutrition to grow tall, and on whether activities that are better performed by tall persons are valued in the society, and so on. The idea might be that if having a native propensity to acquire a trait will give rise to advantage or disadvantage given ordinary upbringing and ordinary free market arrangements, the propensity counts as a natural endowment advantage On this view, luck egalitarianism goes wrong by overreaching, insisting on undoing unproblematic inequalities.