 Expected utility theory holds that an individual’s preferences order gambles according to their expected utility, or ought to do so: \(A \succcurlyeq B\) iff \(\EU(A) \ge \EU(B).\) Generally, weak preference \((\succcurlyeq)\) is taken to be basic and strict preference \((\succ)\) and indifference \((\sim)\) defined in the usual way (\(A \succ B\) iff \(A \succcurlyeq B\) and not-\((B \succcurlyeq A)\); \(A \sim B\) iff \(A \succcurlyeq B\) and \(B \succcurlyeq A\)).