 then if \(g\) is weakly preferred to \(f\), \(g'\) must be weakly preferred to \(f'\). Suppose, however, that there is probabilistic dependency between the states of the world and the alternatives we are considering, and that we find \(Z\) to be better than both \(X\) and \(Y\), and we also find \(W\) to be better than both \(X\) and \(Y\). Moreover, suppose that \(g\) makes \(\neg E\) more likely than \(f\) does, and \(f'\) makes \(\neg E\) more likely than \(g'\) does. Then it seems perfectly reasonable to prefer \(g\) over \(f\) but \(f'\) over \(g'\).