Towards a Frequentist’s Approach to Pascal’s Wager

Pascal’s wager attempts to provide a mortal with a proper choice of believing or not believing in a god, based on the expected reward of a given belief. It is essentially a Bayesian approach to the existence of a supreme being, as it deals with a degree of belief approach to proability. However, given the ineffability of a supreme being, the idea of finding a Bayesian prior for performing inference is impractical. However given the high population of observable mortals, a frequency probability would be a more obvious choice. Therefore, we present a systemized frequentist approach to the problem of a supreme being. Figure 1: Diagramming the utility in situations where there is a choice you have control over (&) and another choice you do not have control over (⊗). On the left, bringing wine when fish or steak may be served. On the right, believing in God when God may or may not exist.