台灣彩券股份有限公司受中國信託商業銀行委任發行至民國102年12月31日之公益彩券，除了原來的大樂透，並在96及97年增加了今彩539與威力彩兩種樂透彩。在此取大樂透160期、今彩五三九400期及威力彩56期，對其開獎號碼是否符合隨機性作檢定，並由理論與實際中獎率的差距，分析彩迷簽注之隨機性。其次，由相關分析探討是否有中頭獎的風水寶地。此外，頭彩多高時購買彩券才能符合淨期望值為0，亦即公正的賭局。最後探討彩迷投注總額的變化。並期望對樂透彩迷們所關心的議題提供一些有效的建言。

TLC（Taiwan Lottery Co.,LTD）was appointed to operate the Public Welfare Lottery（Jan.1,2007~Dec.31,2013, 7 years in total）issued by Chinatrust Commercial Bank. In addition to 6/49 originally. TLC adds 5/39 and super 6/38（select 6 numbers from the first 49 intergers or select 5 numbers from the first 42 intergers, or select 6 numbers from the first 38 intergers in zone 1 and select 1 number from the first 8 intergers in zone 2, denoted by 6/49 and 5/39 and super 6/38, respectively）lottery games in 2007 and 2008. In this paper, We select 160 draws from 6/49, 400 draws from 5/39 and 56 draws from super 6/38 to test whether the winning numbers tally with the randomness or not. At the same time, We analyze the randomness of the public playing lottery from the difference between theory and actual lottery winning rate. Secondly, We probe from correlation analysis if there is propitious place. Furthermore, how much the first prize of a lottery we buy, so the net expected value can be zero. And that’s a fair gamble. At last, We probe into the variation of the stakes, and hope to provide some operative suggestions for the lottery players are concern about.

台灣彩券網站，網址：http://www.taiwanlottery.com.tw/
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