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。
| AA+3.49 | AKs+2.28 | AQs+2.09 | AJs+1.95 | ATs+1.83 | A9s+1.6 | A8s+1.46 | A7s+1.34 | A6s+1.22 | A5s+1.2 | A4s+1.13 | A3s+1.08 | A2s+1.04 |
| AKo+2.17 | KK+3.03 | KQs+1.45 | KJs+1.32 | KTs+1.2 | K9s+0.98 | K8s+0.78 | K7s+0.68 | K6s+0.6 | K5s+0.52 | K4s+0.46 | K3s+0.42 | K2s+0.37 |
| AQo+1.96 | KQo+1.29 | QQ+2.73 | QJs+0.89 | QTs+0.78 | Q9s+0.55 | Q8s+0.4 | Q7s+0.27 | Q6s+0.25 | Q5s+0.2 | Q4s+0.17 | Q3s+0.12 | Q2s+0.07 |
| AJo+1.81 | KJo+1.14 | QJo+0.67 | JJ+2.5 | JTs+0.64 | J9s+0.45 | J8s+0.33 | J7s+0.22 | J6s+0.12 | J5s+0.1 | J4s+0.06 | J3s≈0 | J2s≈0 |
| ATo+1.68 | KTo+1 | QTo+0.56 | JTo+0.41 | TT+2.29 | T9s+0.46 | T8s+0.36 | T7s+0.26 | T6s+0.15 | T5s≈0 | T4s≈0 | T3s≈0 | T2s-0.08 |
| A9o+1.43 | K9o+0.77 | Q9o+0.31 | J9o+0.21 | T9o+0.22 | 99+2.03 | 98s+0.38 | 97s+0.29 | 96s+0.18 | 95s+0.07 | 94s-0.05 | 93s-0.07 | 92s-0.12 |
| A8o+1.27 | K8o+0.55 | Q8o+0.15 | J8o+0.08 | T8o+0.1 | 98o+0.13 | 88+1.83 | 87s+0.34 | 86s+0.24 | 85s+0.11 | 84s≈0 | 83s-0.13 | 82s-0.15 |
| A7o+1.14 | K7o+0.45 | Q7o≈0 | J7o≈0 | T7o≈0 | 97o≈0 | 87o+0.08 | 77+1.65 | 76s+0.28 | 75s+0.17 | 74s+0.05 | 73s-0.08 | 72s-0.2 |
| A6o+1.02 | K6o+0.36 | Q6o≈0 | J6o-0.16 | T6o-0.12 | 96o-0.08 | 86o≈0 | 76o≈0 | 66+1.49 | 65s+0.21 | 64s+0.11 | 63s≈0 | 62s-0.15 |
| A5o+1 | K5o+0.28 | Q5o-0.06 | J5o-0.17 | T5o-0.24 | 95o-0.21 | 85o-0.16 | 75o-0.1 | 65o≈0 | 55+1.32 | 54s+0.17 | 53s+0.05 | 52s-0.09 |
| A4o+0.92 | K4o+0.21 | Q4o-0.1 | J4o-0.22 | T4o-0.27 | 94o-0.34 | 84o-0.28 | 74o-0.22 | 64o-0.17 | 54o-0.1 | 44+1.15 | 43s≈0 | 42s-0.13 |
| A3o+0.87 | K3o+0.17 | Q3o-0.14 | J3o-0.26 | T3o-0.31 | 93o-0.35 | 83o-0.41 | 73o-0.36 | 63o-0.3 | 53o-0.23 | 43o-0.29 | 33+0.98 | 32s-0.18 |
| A2o+0.82 | K2o+0.12 | Q2o-0.2 | J2o-0.31 | T2o-0.36 | 92o-0.42 | 82o-0.44 | 72o-0.5 | 62o-0.44 | 52o-0.37 | 42o-0.42 | 32o-0.47 | 22+0.83 |
全下部分频率弃牌
| AA+7.94 | AKs+4.32 | AQs+3.92 | AJs+3.64 | ATs+3.4 | A9s+2.93 | A8s+2.67 | A7s+2.37 | A6s+2.02 | A5s+1.99 | A4s+1.81 | A3s+1.65 | A2s+1.52 |
| AKo+3.97 | KK+6.96 | KQs+2.87 | KJs+2.59 | KTs+2.33 | K9s+1.88 | K8s+1.43 | K7s+1.16 | K6s+0.89 | K5s+0.66 | K4s+0.47 | K3s+0.34 | K2s+0.2 |
| AQo+3.54 | KQo+2.43 | QQ+6.08 | QJs+1.66 | QTs+1.44 | Q9s+0.96 | Q8s+0.56 | Q7s+0.13 | Q6s≈0 | Q5s-0.16 | Q4s-0.31 | Q3s-0.45 | Q2s-0.57 |
| AJo+3.24 | KJo+2.13 | QJo+1.14 | JJ+5.48 | JTs+1.03 | J9s+0.55 | J8s+0.16 | J7s-0.21 | J6s-0.5 | J5s-0.59 | J4s-0.74 | J3s-0.89 | J2s-1.01 |
| ATo+2.97 | KTo+1.86 | QTo+0.91 | JTo+0.48 | TT+4.95 | T9s+0.34 | T8s-0.05 | T7s-0.38 | T6s-0.68 | T5s-1.02 | T4s-1.1 | T3s-1.23 | T2s-1.35 |
| A9o+2.47 | K9o+1.36 | Q9o+0.41 | J9o≈0 | T9o-0.23 | 99+4.26 | 98s-0.23 | 97s-0.56 | 96s-0.85 | 95s-1.16 | 94s-1.48 | 93s-1.55 | 92s-1.66 |
| A8o+2.2 | K8o+0.89 | Q8o≈0 | J8o-0.45 | T8o-0.68 | 98o-0.86 | 88+3.59 | 87s-0.66 | 86s-0.9 | 85s-1.22 | 84s-1.52 | 83s-1.85 | 82s-1.92 |
| A7o+1.87 | K7o+0.61 | Q7o-0.48 | J7o-0.83 | T7o-1.03 | 97o-1.2 | 87o-1.3 | 77+2.91 | 76s-0.91 | 75s-1.21 | 74s-1.53 | 73s-1.85 | 72s-2.15 |
| A6o+1.5 | K6o+0.3 | Q6o-0.63 | J6o-1.18 | T6o-1.35 | 96o-1.51 | 86o-1.57 | 76o-1.58 | 66+2.36 | 65s-1.11 | 64s-1.42 | 63s-1.71 | 62s-2.03 |
| A5o+1.47 | K5o+0.08 | Q5o-0.79 | J5o-1.26 | T5o-1.69 | 95o-1.84 | 85o-1.9 | 75o-1.89 | 65o-1.77 | 55+1.88 | 54s-1.26 | 53s-1.53 | 52s-1.87 |
| A4o+1.26 | K4o-0.12 | Q4o-0.94 | J4o-1.43 | T4o-1.79 | 94o-2.19 | 84o-2.24 | 74o-2.23 | 64o-2.11 | 54o-1.94 | 44+1.41 | 43s-1.68 | 42s-1.97 |
| A3o+1.11 | K3o-0.29 | Q3o-1.1 | J3o-1.56 | T3o-1.93 | 93o-2.26 | 83o-2.58 | 73o-2.57 | 63o-2.43 | 53o-2.25 | 43o-2.41 | 33+0.96 | 32s-2.1 |
| A2o+0.95 | K2o-0.43 | Q2o-1.24 | J2o-1.7 | T2o-2.05 | 92o-2.39 | 82o-2.65 | 72o-2.9 | 62o-2.75 | 52o-2.57 | 42o-2.71 | 32o-2.82 | 22+0.56 |
跟注全下部分频率弃牌
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。
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。
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。
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)
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