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单挑推弃图 10bb(Nash)

单挑 10 个大盲:双方的 Nash 推弃解。小盲全下 58%、大盲跟注 37%——两边都以完整 13×13 图给出,每一手牌都标了以 bb 为单位的期望值,包括那些接近抛硬币的牌。

小盲 — 全下范围 — 58.3%

AA+3.49AKs+2.28AQs+2.09AJs+1.95ATs+1.83A9s+1.6A8s+1.46A7s+1.34A6s+1.22A5s+1.2A4s+1.13A3s+1.08A2s+1.04
AKo+2.17KK+3.03KQs+1.45KJs+1.32KTs+1.2K9s+0.98K8s+0.78K7s+0.68K6s+0.6K5s+0.52K4s+0.46K3s+0.42K2s+0.37
AQo+1.96KQo+1.29QQ+2.73QJs+0.89QTs+0.78Q9s+0.55Q8s+0.4Q7s+0.27Q6s+0.25Q5s+0.2Q4s+0.17Q3s+0.12Q2s+0.07
AJo+1.81KJo+1.14QJo+0.67JJ+2.5JTs+0.64J9s+0.45J8s+0.33J7s+0.22J6s+0.12J5s+0.1J4s+0.06J3s≈0J2s≈0
ATo+1.68KTo+1QTo+0.56JTo+0.41TT+2.29T9s+0.46T8s+0.36T7s+0.26T6s+0.15T5s≈0T4s≈0T3s≈0T2s-0.08
A9o+1.43K9o+0.77Q9o+0.31J9o+0.21T9o+0.2299+2.0398s+0.3897s+0.2996s+0.1895s+0.0794s-0.0593s-0.0792s-0.12
A8o+1.27K8o+0.55Q8o+0.15J8o+0.08T8o+0.198o+0.1388+1.8387s+0.3486s+0.2485s+0.1184s≈083s-0.1382s-0.15
A7o+1.14K7o+0.45Q7o≈0J7o≈0T7o≈097o≈087o+0.0877+1.6576s+0.2875s+0.1774s+0.0573s-0.0872s-0.2
A6o+1.02K6o+0.36Q6o≈0J6o-0.16T6o-0.1296o-0.0886o≈076o≈066+1.4965s+0.2164s+0.1163s≈062s-0.15
A5o+1K5o+0.28Q5o-0.06J5o-0.17T5o-0.2495o-0.2185o-0.1675o-0.165o≈055+1.3254s+0.1753s+0.0552s-0.09
A4o+0.92K4o+0.21Q4o-0.1J4o-0.22T4o-0.2794o-0.3484o-0.2874o-0.2264o-0.1754o-0.144+1.1543s≈042s-0.13
A3o+0.87K3o+0.17Q3o-0.14J3o-0.26T3o-0.3193o-0.3583o-0.4173o-0.3663o-0.353o-0.2343o-0.2933+0.9832s-0.18
A2o+0.82K2o+0.12Q2o-0.2J2o-0.31T2o-0.3692o-0.4282o-0.4472o-0.562o-0.4452o-0.3742o-0.4232o-0.4722+0.83

全下部分频率弃牌

大盲 — 跟注范围 — 37.5%

AA+7.94AKs+4.32AQs+3.92AJs+3.64ATs+3.4A9s+2.93A8s+2.67A7s+2.37A6s+2.02A5s+1.99A4s+1.81A3s+1.65A2s+1.52
AKo+3.97KK+6.96KQs+2.87KJs+2.59KTs+2.33K9s+1.88K8s+1.43K7s+1.16K6s+0.89K5s+0.66K4s+0.47K3s+0.34K2s+0.2
AQo+3.54KQo+2.43QQ+6.08QJs+1.66QTs+1.44Q9s+0.96Q8s+0.56Q7s+0.13Q6s≈0Q5s-0.16Q4s-0.31Q3s-0.45Q2s-0.57
AJo+3.24KJo+2.13QJo+1.14JJ+5.48JTs+1.03J9s+0.55J8s+0.16J7s-0.21J6s-0.5J5s-0.59J4s-0.74J3s-0.89J2s-1.01
ATo+2.97KTo+1.86QTo+0.91JTo+0.48TT+4.95T9s+0.34T8s-0.05T7s-0.38T6s-0.68T5s-1.02T4s-1.1T3s-1.23T2s-1.35
A9o+2.47K9o+1.36Q9o+0.41J9o≈0T9o-0.2399+4.2698s-0.2397s-0.5696s-0.8595s-1.1694s-1.4893s-1.5592s-1.66
A8o+2.2K8o+0.89Q8o≈0J8o-0.45T8o-0.6898o-0.8688+3.5987s-0.6686s-0.985s-1.2284s-1.5283s-1.8582s-1.92
A7o+1.87K7o+0.61Q7o-0.48J7o-0.83T7o-1.0397o-1.287o-1.377+2.9176s-0.9175s-1.2174s-1.5373s-1.8572s-2.15
A6o+1.5K6o+0.3Q6o-0.63J6o-1.18T6o-1.3596o-1.5186o-1.5776o-1.5866+2.3665s-1.1164s-1.4263s-1.7162s-2.03
A5o+1.47K5o+0.08Q5o-0.79J5o-1.26T5o-1.6995o-1.8485o-1.975o-1.8965o-1.7755+1.8854s-1.2653s-1.5352s-1.87
A4o+1.26K4o-0.12Q4o-0.94J4o-1.43T4o-1.7994o-2.1984o-2.2474o-2.2364o-2.1154o-1.9444+1.4143s-1.6842s-1.97
A3o+1.11K3o-0.29Q3o-1.1J3o-1.56T3o-1.9393o-2.2683o-2.5873o-2.5763o-2.4353o-2.2543o-2.4133+0.9632s-2.1
A2o+0.95K2o-0.43Q2o-1.24J2o-1.7T2o-2.0592o-2.3982o-2.6572o-2.962o-2.7552o-2.5742o-2.7132o-2.8222+0.56

跟注全下部分频率弃牌

每手期望值(bb)

最赚的牌: AA +3.49 KK +3.03 QQ +2.73 JJ +2.5 TT +2.29 AKs +2.28 AKo +2.17 AQs +2.09

刚过零线(推弃几乎无差异): J3s +0.02 T4s +0.02 Q7o +0.02 76o +0.02 T5s +0.03 97o +0.03 74s +0.05 53s +0.05

看着该推、其实亏钱: Q6o -0.01 T3s -0.02 63s -0.02 J2s -0.03 86o -0.03 J7o -0.04 65o -0.04 94s -0.05

单挑 10bb:小盲推 58%,大盲跟 37%。小盲仍在推大多数牌,而大盲现在要弃掉将近三分之二——弃牌赢率的缺口在这里最大。

这是最经典的单挑推弃筹码;如果你只背一档,就背这一档。注意小盲的范围从 5bb 到这里几乎没怎么紧(72% → 58%),大盲却塌了下来(62% → 37%)。

小盲范围的底部——下面 EV 表里那些只有 +0.01 到 +0.02bb 的牌——正是弃牌赢率在独自撑着。这些牌摊牌是输的;它们赢,是因为大盲弃了。

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单挑推弃图 10bb(Nash) — 13×13 德州扑克范围图,按动作分色
单挑推弃图 10bb(Nash) — 翻前训练营的可打印 13×13 范围图
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常见问题

单挑 10bb 的正确全下范围是什么?

10bb 时小盲推约 58%;本页给出完整的 Nash 范围与每一手的 EV。EV 在 +0.00 到 +0.03bb 之间的牌接近无差异——推或弃,长期几乎没有差别。

这些单挑图假设大盲打得正确吗?

是的——两边范围互为均衡(这一档大盲跟 37%)。对手跟得太宽,你就把全下收紧到价值牌;对手弃得太多,你就往「任意两张」放宽。均衡是你偏离的基线,不是面对烂对手时的目标。

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相关图表

单挑推弃图 5bb(Nash)单挑推弃图 8bb(Nash)单挑推弃图 12bb(Nash)单挑推弃图 15bb(Nash)UTG 枪口位开局范围(6人桌)大盲防守按钮开局(6人桌)

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推弃表是自算的 chip-EV Nash 均衡(蒙特卡洛手牌类赢率,计入去牌,25000 样本,seed 1234;无前注——单挑表按 ante = 0 求解)。已知局限,如实说明:不考虑 ICM;假设没有人超额跟注(no-overcall);赢率按手牌类而非逐个组合计算。本档可利用度: 0.001 bb/hand.

更新于 2026-10-22

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