In legal proceedings, a fact-finder needs to decide whether a defendant is guilty, or not, based on probabilistic evidence. We defend the thesis that the defendant should be found guilty just in case it is rational for the fact-finder to believe that the defendant is guilty. We draw on Leitgeb’s stability theory for an appropriate notion of rational belief and show how our thesis solves the problem of statistical evidence. Finally, we defend our account of legal proof against challenges from Staffel and compare it to a recent competitor put forth by Moss.