Behind the veil of ignorance, human beings may not in fact side with what gives them the statistical greatest chance of survival. As Rawls himself notes, people are naturally risk-averse, and thus will select the rules that protect them from the worst possible situations, even if that sacrifice would help many others. Most people find the prospect of being actively killed by the conscious action of another human being worse than simply dying in an accident, and would seek to protect themselves against that worse outcome.