If we assume you have beliefs represented by \(P(H)=[0,1]\), these bets have expectations of \([-10,15]\). Refusing each bet has expectation of 0. So accepting and refusing \(A\) are incomparable with respect to your beliefs. Likewise for \(B\). The problem is that refusing both bets seems to be irrational, since accepting both bets gets you a guaranteed payoff of 5. Elga argues that no decision rule for imprecise probabilities can rule out refusing both bets. He then argues that this shows that imprecise probabilities are bad epistemology. Neither argument works. Chandler (2014) and Sahlin and Weirich (2014) both point out that a certain kind of imprecise decision rule does make refusing both bets impermissible and Elga has acknowledged this in an erratum to his paper. Bradley and Steele (2014a) argue that decision rules that make refusing both bets merely permissible are legitimate ways to make imprecise decisions. They also point out that the rule that Chandler, and Sahlin and Weirich advocate has counterintuitive consequences in other decision problems.  