Mathematics in Lottery
Hui Kang · Gongcheng shuxue xuebao · 2003
This model discusses how to evaluate the rationality of the general prize-winning evaluatityt procedures on the traditional lottery and lotto. First, according to the prize-winning rules, this paper found the probability of the various awards cases of two types by the use of the classical probability. Regarding each event of prizing-wining as Benouli experiment, under the assumption of the sufficient sales volume in each issue, and then whether each lottery ticket wins the prize or not, according to the Large-Number Law, is attributed to the Normal Distribution, and find the rate of return of each lottery ticket. On the basis of those efforts, we construct the function to evaluate the rationality of those programs with fair measure by taking advantage of the gambling mentality. In succession, by the use of Matlab 6.1, we calculated the model of Nonlinear planning on these questions. By the solution of the model, we find the optimal program for the given lottery sales volume and the settings of award items and prize amount.