 At the least, such examples raise questions about the connection that the DBA presupposes between partial beliefs and favorable/unfavorable betting odds. In the case where an agent must give her betting quotient for what is in fact a logical truth, any value less than one leaves her vulnerable to a sure loss, possibly a bankrupting one, yet in such cases not all such credences are rationally on a par. The issue here seems to be more than simply one about how well the underlying theory of action and belief works for extreme values, but also about the relevant conception of rational belief. Rational action-guiding credences should generally reflect the agent’s evidence, yet at least in the cases above, probabilism seems sometimes to require that they do not. One may question whether the appropriate or intended sense of ‘rational’ is invoked in these cases in which it seems right to say that rational beliefs can come apart from betting quotients, but such objections just highlight the lack of clarity in most presentations of the argument over what sort of rationality is supposed to be at stake. It has been said, for instance, that it is ideal rationality that demands adherence to the axioms, but this notion too is unclear. What can be said though is that there are cases in which degrees of belief do satisfy an important ideal of rationality but where they seem to come apart from betting quotients, and this puts additional pressure on the premise that agents should be willing to accept bets where their degrees of belief match the betting quotient.