翻前训练营 — 免费 GTO 德州扑克翻前训练器EN

10bb 推弃图(9人桌 Nash)

10 个大盲是最经典的推弃筹码。9 人桌的 Nash 全下范围是:UTG 9%、MP 16%、CO 27%、按钮 36%、小盲 69%——每一手牌都附以 bb 为单位的期望值

位置全下比例
UTG9.0%120 个组合
MP15.9%211 个组合
CO27.3%362 个组合
BTN36.0%477 个组合
SB69.1%916 个组合

范围图

UTG — 9.0% 的牌

AAAKsAQsAJsATsA9sA8sA7sA6sA5sA4sA3sA2s
AKoKKKQsKJsKTsK9sK8sK7sK6sK5sK4sK3sK2s
AQoKQoQQQJsQTsQ9sQ8sQ7sQ6sQ5sQ4sQ3sQ2s
AJoKJoQJoJJJTsJ9sJ8sJ7sJ6sJ5sJ4sJ3sJ2s
AToKToQToJToTTT9sT8sT7sT6sT5sT4sT3sT2s
A9oK9oQ9oJ9oT9o9998s97s96s95s94s93s92s
A8oK8oQ8oJ8oT8o98o8887s86s85s84s83s82s
A7oK7oQ7oJ7oT7o97o87o7776s75s74s73s72s
A6oK6oQ6oJ6oT6o96o86o76o6665s64s63s62s
A5oK5oQ5oJ5oT5o95o85o75o65o5554s53s52s
A4oK4oQ4oJ4oT4o94o84o74o64o54o4443s42s
A3oK3oQ3oJ3oT3o93o83o73o63o53o43o3332s
A2oK2oQ2oJ2oT2o92o82o72o62o52o42o32o22

MP — 15.9% 的牌

AAAKsAQsAJsATsA9sA8sA7sA6sA5sA4sA3sA2s
AKoKKKQsKJsKTsK9sK8sK7sK6sK5sK4sK3sK2s
AQoKQoQQQJsQTsQ9sQ8sQ7sQ6sQ5sQ4sQ3sQ2s
AJoKJoQJoJJJTsJ9sJ8sJ7sJ6sJ5sJ4sJ3sJ2s
AToKToQToJToTTT9sT8sT7sT6sT5sT4sT3sT2s
A9oK9oQ9oJ9oT9o9998s97s96s95s94s93s92s
A8oK8oQ8oJ8oT8o98o8887s86s85s84s83s82s
A7oK7oQ7oJ7oT7o97o87o7776s75s74s73s72s
A6oK6oQ6oJ6oT6o96o86o76o6665s64s63s62s
A5oK5oQ5oJ5oT5o95o85o75o65o5554s53s52s
A4oK4oQ4oJ4oT4o94o84o74o64o54o4443s42s
A3oK3oQ3oJ3oT3o93o83o73o63o53o43o3332s
A2oK2oQ2oJ2oT2o92o82o72o62o52o42o32o22

CO — 27.3% 的牌

AAAKsAQsAJsATsA9sA8sA7sA6sA5sA4sA3sA2s
AKoKKKQsKJsKTsK9sK8sK7sK6sK5sK4sK3sK2s
AQoKQoQQQJsQTsQ9sQ8sQ7sQ6sQ5sQ4sQ3sQ2s
AJoKJoQJoJJJTsJ9sJ8sJ7sJ6sJ5sJ4sJ3sJ2s
AToKToQToJToTTT9sT8sT7sT6sT5sT4sT3sT2s
A9oK9oQ9oJ9oT9o9998s97s96s95s94s93s92s
A8oK8oQ8oJ8oT8o98o8887s86s85s84s83s82s
A7oK7oQ7oJ7oT7o97o87o7776s75s74s73s72s
A6oK6oQ6oJ6oT6o96o86o76o6665s64s63s62s
A5oK5oQ5oJ5oT5o95o85o75o65o5554s53s52s
A4oK4oQ4oJ4oT4o94o84o74o64o54o4443s42s
A3oK3oQ3oJ3oT3o93o83o73o63o53o43o3332s
A2oK2oQ2oJ2oT2o92o82o72o62o52o42o32o22

BTN — 36.0% 的牌

AAAKsAQsAJsATsA9sA8sA7sA6sA5sA4sA3sA2s
AKoKKKQsKJsKTsK9sK8sK7sK6sK5sK4sK3sK2s
AQoKQoQQQJsQTsQ9sQ8sQ7sQ6sQ5sQ4sQ3sQ2s
AJoKJoQJoJJJTsJ9sJ8sJ7sJ6sJ5sJ4sJ3sJ2s
AToKToQToJToTTT9sT8sT7sT6sT5sT4sT3sT2s
A9oK9oQ9oJ9oT9o9998s97s96s95s94s93s92s
A8oK8oQ8oJ8oT8o98o8887s86s85s84s83s82s
A7oK7oQ7oJ7oT7o97o87o7776s75s74s73s72s
A6oK6oQ6oJ6oT6o96o86o76o6665s64s63s62s
A5oK5oQ5oJ5oT5o95o85o75o65o5554s53s52s
A4oK4oQ4oJ4oT4o94o84o74o64o54o4443s42s
A3oK3oQ3oJ3oT3o93o83o73o63o53o43o3332s
A2oK2oQ2oJ2oT2o92o82o72o62o52o42o32o22

SB — 69.1% 的牌

AAAKsAQsAJsATsA9sA8sA7sA6sA5sA4sA3sA2s
AKoKKKQsKJsKTsK9sK8sK7sK6sK5sK4sK3sK2s
AQoKQoQQQJsQTsQ9sQ8sQ7sQ6sQ5sQ4sQ3sQ2s
AJoKJoQJoJJJTsJ9sJ8sJ7sJ6sJ5sJ4sJ3sJ2s
AToKToQToJToTTT9sT8sT7sT6sT5sT4sT3sT2s
A9oK9oQ9oJ9oT9o9998s97s96s95s94s93s92s
A8oK8oQ8oJ8oT8o98o8887s86s85s84s83s82s
A7oK7oQ7oJ7oT7o97o87o7776s75s74s73s72s
A6oK6oQ6oJ6oT6o96o86o76o6665s64s63s62s
A5oK5oQ5oJ5oT5o95o85o75o65o5554s53s52s
A4oK4oQ4oJ4oT4o94o84o74o64o54o4443s42s
A3oK3oQ3oJ3oT3o93o83o73o63o53o43o3332s
A2oK2oQ2oJ2oT2o92o82o72o62o52o42o32o22

全下部分频率全下弃牌

每手期望值(bb)

最赚的牌: AA +3.9 KK +3.01 QQ +2.6 JJ +2.28 AKs +2.13 TT +2.02 AKo +2 AQs +1.85

刚过零线(推弃几乎无差异): QTo +0.02 K6s +0.03 JTo +0.03 T7s +0.03 K7s +0.04 Q8s +0.04 A3o +0.04 65s +0.05

看着该推、其实亏钱: K5s -0.01 T9o -0.01 54s -0.01 A2o -0.01 75s -0.02 J7s -0.04 K4s -0.05 T6s -0.05

10bb 是锦标赛玩家遇到最多的筹码量,也是「推或弃」这个简化最站得住的地方:筹码刚好还多到弃牌有保留价值,又刚好少到任何小于全下的加注都是错。这张图上的每一手不是推就是弃,没有第三个选项让你纠结。

和 8bb 相比,每个位置的范围都收紧了。推弃的全部逻辑就在这一句里:筹码越深,被跟时输得越多,所以需要更多赢率才值得推。按钮从 39% 掉到 36%,小盲从 73% 掉到 69%。把同一手牌在 8bb / 10bb / 12bb / 15bb 四张图里追一遍,你能亲眼看着它掉出范围。

用 EV 那一列建立直觉,而不是背格子。真正赚钱的是 +0.3bb 以上那些;真正在悄悄亏钱的,是你原本很确定、结果 EV 是负数的那些。

常见问题

10bb 按钮位的正确全下范围是多少?

9 人桌约 36%——全部对子、绝大多数同花 A 与同花 K、同花大牌与连子,再加一片杂色大牌。图里给出每一手的具体牌与 EV;EV 落在 +0.00 到 +0.05bb 之间的牌接近无差异。

这些 Nash 图精确吗?

它们是自算的 chip-EV Nash 均衡(蒙特卡洛手牌类赢率,每次对局 25000 样本),每一档的可利用度都印在页脚。足够用来实战,但它是近似解、不是绝对真理:不考虑 ICM,且模型在算被跟概率时不做去牌,所以杂色 A 被略微低估。

免费练这些局面 →

相关图表

8bb 推弃图(9人桌 Nash)12bb 推弃图(9人桌 Nash)15bb 推弃图(9人桌 Nash)20bb 推弃图(9人桌 Nash)UTG 枪口位开局范围(6人桌)大盲防守按钮开局(6人桌)

全部翻前范围图

推弃表是自算的 chip-EV Nash 均衡(蒙特卡洛手牌类赢率,25000 样本,seed 1234)。已知局限,如实说明:不考虑 ICM;模型在算被跟概率时不做去牌——所以杂色 A(它其实阻断了对手的 AA/AK/AQ/AJ)被略微低估。本档可利用度: 0.024 bb/hand.

翻后也要练?同一作者的「翻后训练营」