 The above analysis presumes that lotteries are evaluated in terms of their expected choice-worthiness or desirability. That is, the desirability of a lottery is effectively the sum of the chances of each prize multiplied by the desirability of that prize. Consider the following example: Suppose you are indifferent between the lottery and the holiday in Bangkok when the chance of the lottery resulting in a holiday in Cardiff is \(3/4\). Call this particular lottery \(L'\). The idea is that Bangkok is therefore three quarters of the way up a desirability scale that has Amsterdam at the bottom and Cardiff at the top. If we stipulate that \(u(A)=0\) and \(u(C)=1\), then \(u(B)=u(L')=3/4\). This corresponds to the expected desirability—or, as it is usually called, the expected utility—of the lottery, since \(1/4\cdot 0 + 3/4\cdot 1 = 3/4 = u(L')\). That is, the desirability of the lottery is a probability weighted sum of the utilities of its prizes, where the weight on each prize is determined by the probability that the lottery results in that prize.