彩票中的数学

彩票中的数学

摘要

本文要求建立1种评价标准去衡量玩各种类型彩票方案的合理性，而游戏规则涉及到各种因素，如各种等级奖项的中奖率、奖项、奖金额的设置、彩民的心理曲线等对彩民产生吸引力的因素。进而设计出更好的方案对彩票管理部门提出合理化的建议。

首先，根据实际情况将各种彩票从整体上分类，利用全概率公式逐步剥开问题本质，得出了彩票各项具体中奖概率。然后，根据模糊数学隶属度的概念，建立1个合适的函数来表示彩民的心理曲线（受实力因子的影响），最后做出指标函数：

即表示在考虑彩民的心理因素的条件下，1个方案的奖项和奖金设置对彩民的吸引力。

在年均人收入1.5万元时，可得到以下两个主要结论：

1、，排在前5位的是第

5、

9、

8、

6、11方案。关键词：彩票方案；中将概率；心理曲线；吸引力

Abstract

This paper called for the establishment of an evaluation criterion for playing all types of lottery programs are reasonable, and the rules of the game involving a variety of factors, such as different grades awards winners rate, awards, prize amount of setup, Lottery psychological curve right caimin attractive factors. Then design a better program on lottery management departments to rationalize the proposals.

First, we will light of the actual situation from the various Lottery overall classification, the use of all probability formula gradually when catching nature of the problem. reached a winning lottery specific probability. Then, according to fuzzy math attached to the concept, establish an appropriate function to express the psychological caimin curve (by the strength factor), made the final indicator function :

Said that the Lottery consider the psychological factors of conditions, a program of awards and bonuses to set up caimin attractive.

Conclusion : 1, the average annual income of 15,000 yuan people, the top three of the program is the first 9,11,5. Keywords：lottery ticket scheme；the probability of winning prize；psychological cure；attraction