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| 我在本专栏连续发表了多篇为甚麽百家乐不如21点的文章引得百迷骂声连连。我其实也花了许多时间研究百家乐……博戏网坛百家乐版版主可以作证。明显没有一个必胜法击败所有的百家乐……赌场愈开愈大是明显的证明。「不过」某些(有漏洞的)百家乐是可以被击败的……没有必胜法,有必胜「地」。 4 v! w2 i4 ?* w6 ]* C, b0 W+ n
 近年最受重视的赌书书名是《Beyond Counting》(《超越算牌》),作者是James Grosjean,目前在(我的母校)美国芝加哥大学攻读经济学博士,《超越算牌》一书在1999年出版时售价40美元。出版后洛阳纸贵,现在在e-bay标价800美元。原来Grosjean出书后指示不再版才使这本书10年涨价20倍。 : d/ l" i. o" v- w
 《超越算牌》一书主要谈利用赌场漏洞赢钱。Grosjean以为赌场漏洞是特例而出书。出书后发现赌场漏洞比预期得多,《超越算牌》流行广利用赌场漏洞的人多妨碍自己赚钱于是下了封书令。 / N+ {. W8 G, d- d  l  i: r4 K
 《超》书中只提了一个百家乐漏洞……如果赌场有这个漏洞,百家乐是可以被击败的! ( e) x, p! F; {2 |; E( |
 什么漏洞? 如果你知道百家乐下一张(或下几张)是什么牌,你「当然」可以赢「平均」赢钱……如果下一张是「9」点,发给閒家,下閒10次平均赢6次。问题是,那家赌场?如何知道下一张牌?知道下一张牌的平均获利有多少?如果你知道「7」在第三张,平均获利多少? 在第「5」张……? 在第5张也有用?如果「4」在第5张,閒家五点补「4」……! 下一张是「10」点,怎麽办?下「庄」! " q0 o* L' U+ M8 Y# {4 \+ N
 让我们来做个梦,如果你每盒知道一张牌,用10万美元当本钱,如果两小时一盒,而且上限够大,平均一小时可以赚多少钱?(上) 根据《超》书,若下一张牌是「9」点(平均13盒牌1支),下閒家预期收益率是21%。 21%预期收益率「应该」下多少钱? 百迷不熟悉「凯利公理」。约翰凯利是美国一位统计学家。他证明「按收益率下注赌本成长最快」……所以21%下21%的赌本……下2.1万美元……平均每次赚4410美元! 「8」也不赖,17.5%,每次碰到平均赚3060元。 平均38%百家乐用4张牌,所以你如果知道第5张牌,有62%机会被用上。「4」点在第5张对閒大大有利,平均收益率达18.3%……「4」在第5张下1.83万美元平均赚3349元。 百家乐一回用4至6张牌,以下是不同点数在不同位置的收益率: 如果你每盒牌知道「1」张牌,拿10万美元按收益率下注,一天下「4」次(两小时一盒),平均1天可以赚4000美元,1个月10万美元翻倍。 美梦、美梦……现在问题是……哪有这个漏洞?如何每盒知道一张牌? 博戏网坛名言:「有必胜法(应该说必胜地),不可以公布……」公布了,赌场封了漏洞,就不必胜了,所以……, y* ?; U7 ^5 a 
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| , k7 z# q4 u  N$ i3 j  o( m% C 哈哈没有必胜,只有机率高些
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