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The Epistemic Containment Principle (ECP) requires that epistemic modals take wider scope than strong quantifiers such as every or most (von Fintel and Iatridou, 2003). Although fairly robust in its realization, a few systemic classes of counterexamples to the ECP have been noted. Based on these, previous work has argued for two claims: subjective modals obey the ECP, whereas objective ones don’t (Tancredi, 2007; Anand and Hacquard, 2008); and every respects the ECP, whereas each violates it (Tancredi, 2007). This paper argues that explicit Questions Under Discussion (QUDs; Roberts, 1996; Ginzburg, 1996) also systematically influence the ECP: scopal orderings that provide relevant answers to the given QUDs are preferred, and this tendency can override the ECP. To support this claim, the paper presents an experimental study. The results corroborate the existence of systematic QUD effects on the ECP, and support the view that the ECP is derived from a confluence of various pragmatic and lexical biases.