 Definition. The expected utility of act \(A\), \(EU(A)\), is defined:   \[ EU(A) = p(S)u(O_1) + p(\neg S)u(O_2).\]   The expected utility of act \(\neg A\), \(EU(\neg A)\), is likewise:  \[ EU(\neg A) = p(S)u(O_3) + p(\neg S)u(O_4).\]   