 However, some other problems for Lewis’s account may run deeper, threatening best-system analyses more generally, and symptomatic of the ghost of frequentism that still hovers behind such analyses. One problem for frequentism that we saw strikes at the heart of any attempt to reduce chances to properties of patterns of outcomes. Such outcomes may be highly misleading regarding the true chances, because of their probabilistic nature. This is most vivid for events that are single-case by any reasonable typing. Whether or our universe turns out to be open or closed, plausibly that outcome is compatible with any underlying intermediate chance. The point generalizes, however pervasive the probabilistic pattern might be. Plausibly, a coin’s landing 9 heads out of 10 tosses is compatible with any underlying intermediate chance for heads; and so on. The pattern of outcomes that is instantiated may be a poor guide to the true chance. (See Hájek 2009 for further arguments against frequentism that carry over to best-system accounts.)