Does the existence of brute luck—chance events and circumstances that are beyond a person’s control—support the case for trying to make society more egalitarian? Arguments for ‘luck egalitarianism’ are woefully incomplete unless they sufficiently address (1) the role of choice in shaping outcomes, (2) the difficulty of crafting policies that promote egalitarian goals, and (3) the likelihood that even well-crafted policies would not work out as envisioned.