Luck egalitarians need to address the question of cost‐responsibility: If an individual is responsible for being worse off than others, then what benefits, if any, is that individual uniquely cost‐responsible for? By applying luck egalitarianism to justice in health I discuss different answers to this question inspired by two different interpretations of luck egalitarianism, namely ‘standard luck egalitarianism’ and ‘all luck egalitarianism’, respectively. Even though I argue that the latter is more plausible than the former, I ultimately suggest and defend a third interpretation of luck egalitarianism, which I label ‘universal luck egalitarianism’. Finally, I adjust my findings to a (all things considered) more plausible currency, namely welfare.