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 from the notion that most often than not, we ultimately don't know what the consequences of our actions can be, which, under ignorance, becomes even a bigger concern.
I would also like to know this: How would Decision Theory (or even consequentialism) deal with the notion that we often can't ultimately know what the outcomes of any given choice can be, and that thismay make the decision making process be tainted with an "anything goes" mentality?