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概率计算
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所谓德克萨斯扑克的概率,简单说,就是等来某种获胜牌型的可能性(成牌概率),与底池提供筹码(底池概率)之间的比较,如果底池筹码足够多,高于成牌可能,就玩下去,反之就弃牌。+ I/ L6 R, ^) X$ k+ p# v: ~
) H, w9 } x0 h* d S- V底池概率(Pot Odds)
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底池概率(Pot Odds)是已有的底池筹码与你当前要下注额之间的比率。比如当前底池筹码共计$100,你需要下注$10,那么底池概率即为10:1。底池大小对于决定是否跟注很重要。
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成牌概率(Odds)( T9 j, i8 U8 E6 l
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这是凑成某种能够获胜牌型的可能性。比如,你的起手牌有两张红桃,翻牌圈又出现两张,那么,在转牌中等来第五张红桃的可能约为20%,即五分之一,每五次会成一次。但我们习惯用不能成牌的次数来表示,即称为成牌概率。在本例中,成牌概率大致为4:1,意思是,每五次中有4次不能成牌,有1次能成。
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4 K. @4 V8 `* e: v Y* O; j成牌概率是如何计算的呢?8 O& }0 v) a+ U5 O+ @4 G2 X
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很简单,在所有未翻开的牌中,不能帮助你的牌的数量,与能够帮助你的牌(即可等牌)的数量之间的比率,即算出成牌概率。例如,起手牌为6? 7?, 翻牌圈为A? T? 5?,目前总共有47张牌未见,其中有9张红桃将助你成为同花牌,38张不能帮助你。那么,在转牌圈中成为同花牌的概率是4.2:1(38/9);两头顺子(如89TJ)牌型有8张可等牌,成牌概率是4.9:1(39/8);同理,单头顺子(如89JQ)牌型有4张可等牌,成牌概率为10.75:1(43/4);, }1 H# s8 l# [9 _
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在实战中,你显然不用每次重复这个计算过程。你所要做的,就是记住APA提供的成牌概率统计表,列明了可等牌数量所对应的成牌概率。0 a+ X9 U& A/ _2 ^3 ?3 A: U
$ }( a8 L+ m: D. a3 \可等牌(Out)8 R+ R7 ~" M/ W( U8 ^# L5 z( N! b! x
1 C4 M7 Q% W! k ]8 x这是计算成牌概率时的一个重要概念。指将在接下来的投注圈中出现,能使你凑成某种获胜牌型的来牌。
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6 A9 c, A) _7 c* K比如,起手牌是A? T?,翻牌又出现2张红桃,仍需要1张来助你最终成牌。目前,还有9张红桃尚未出现,那么你就有9张可等牌。如果你预计再来一张A也能获胜,那你就有12张可等牌,即9张红桃和3张A。3 L. R" c4 G q+ r: B
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概率的实际应用0 F! o5 g) s0 G' X( U
4 H, v# ]0 u, e9 L" X现举一例,说明如何应用以上概率知识。你在$1/$2的有限注游戏,坐在按钮(小盲注紧右边)位置,手持K? T?,牌面来到转牌圈,为9? 2? 4? A?,你仅剩的一个对手下注$2后,底池共有$10。为了简化本例,我们假设对手现在凑成了一对A,但如果河牌(River)来另一张红桃,他将弃牌,那么,现在你会跟注,来等待河牌的那张红桃吗? B# V! `" m) W5 ]' ~; r
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我们知道,持有4张同花,成牌概率约为4比1;目前你需要投注$2,来搏取$10的底池,底池概率为5:1,高于成牌概率,所以应当玩下去,跟注是正确的。但如果底池仅有$7呢?底池概率则变成3.5:1, 低于成牌概率,那么就应当弃牌。$ ~ Y1 G0 _3 W7 V, e: E
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