 This theorem reaches the same optimistic conclusions as Condorcet’s theorem, but based on new premises. The new independence assumption is more plausible to the extent that the facts \(\mathbf{x}\) include common causes or proxies thereof. If the facts are the state of the world—a very rough proxy of common causes—one obtains the literature’s most common form of conditionalisation and the classical State-Conditional Jury Theorem (e.g., Austen-Smith &amp; Banks 1996). The Conditional Jury Theorem generalises this familiar jury theorem to an arbitrary target of conditionalisation \(\mathbf{x}\). Replacing state-conditionalisation by arbitrary conditionalisation makes the jury theorem more flexible, opening the door to genuinely plausible independence assumptions.