How can we deal with decision making under ignorance of probabilities when all possible negative or positive outcomes of one alternative are equal to that of the other(s)? I put forth the following example: Let's say that I can choose either to deal with a current personal security matter, which might otherwise bring about death, or to deal with a health issue that, if left untreated, might have the same consequence; and let's suppose that I have no access to the probability of mortality from any problem, nor to the probability of mortality provided that I assess either of them. As I see it, normative accounts for these instances, such as the maximin, minimax, maximax, and Laplace criteria would hold the alternatives to be equally good, as they have the same expected utility. But I am sincerely dissatisfied with the idea of making choices at random, so I want to know what you think. I also see the possibility of the decision making process being tainted by an "anything goes" type of mentality, as coming...