最近更新 Oct 07, 2025

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菠萝

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简介

本页旨在展示如何在扑克游戏“菠萝”中做出初始手牌决定。对于不了解的人来说，“菠萝”的玩法类似于德州扑克，不同之处在于玩家会拿到三张底牌，并且必须在首轮下注后、翻牌前弃掉一张。请勿将“菠萝”与“疯狂菠萝”或“懒惰菠萝”混淆。“疯狂菠萝”的弃牌决定在转牌前做出，而“懒惰菠萝”的弃牌决定则在整局游戏中保留所有三张牌。

本页面仅涵盖弃牌决策以及每手起手牌的强度。您可以通过本页面查看预期价值统计数据。预期价值是指玩家基于一个单位的底注可以预期获得的回报。例如，预期回报 1.000 表示玩家可以保持收支平衡。

你会在本页经常看到一个术语“惩罚”，这个词是我在玩视频扑克时学到的。它指的是丢弃一张可能有用的牌。具体来说，点数惩罚是指你在拿到三条后丢弃的牌。在菠萝牌局中，这手牌会让你心碎，因为你必须丢弃其中一张牌。这不仅会降低你的牌值，还会减少牌堆中一张可以用来提升对子的牌。花色惩罚更为常见。如果你丢弃的牌与你保留的其中一张牌花色相同，那么完成同花的机会就会降低。理想的情况是两种惩罚都不存在。

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假设

本页假设六人游戏，无人弃牌或加注。每位玩家下注一个单位，最终牌力最佳的玩家获胜。

三张同点牌

发三张同点牌的策略很简单——保留任意两张牌。

下表显示了在发到三张同点牌时持有任意两张牌的预期回报。

发三张同点牌

秩	预期的返回
一个	2.425
钾	1.925
问	1.563
J	1.297
10	1.084
9	0.899
8	0.777
7	0.687
6	0.624
5	0.571
4	0.521
3	0.483
2	0.448

无花色罚分的对子

任何一对的策略都很简单——持有该一对。

下表显示了当拿到一对和一张单张牌时，两种可行玩法的预期回报，其中单张牌与对子中的任意一张牌都不匹配。你可以选择保留对子，或者保留单张牌和对子中的任意一张牌。如你所见，表格显示，持有对子总是具有更高的预期回报。

发三张同点牌

秩	单例模式	一对	二单例
一个	钾	2.708	1.289
一个	问	2.719	1.159
一个	J	2.729	1.059
一个	10	2.740	0.985
一个	9	2.739	0.827
一个	8	2.734	0.785
一个	7	2.736	0.753
一个	6	2.737	0.722
一个	5	2.734	0.777
一个	4	2.719	0.753
一个	3	2.701	0.728
一个	2	2.674	0.694
钾	一个	2.392	1.276
钾	问	2.224	1.082
钾	J	2.237	0.999
钾	10	2.245	0.936
钾	9	2.246	0.784
钾	8	2.243	0.683
钾	7	2.245	0.661
钾	6	2.247	0.641
钾	5	2.245	0.622
钾	4	2.234	0.603
钾	3	2.219	0.582
钾	2	2.201	0.562
问	一个	1.999	1.147
问	钾	1.994	1.080
问	J	1.865	0.975
问	10	1.880	0.920
问	9	1.876	0.773
问	8	1.877	0.676
问	7	1.879	0.592
问	6	1.881	0.580
问	5	1.880	0.564
问	4	1.873	0.543
问	3	1.859	0.525
问	2	1.847	0.509
J	一个	1.702	1.052
J	钾	1.696	0.998
J	问	1.696	0.971
J	10	1.601	0.931
J	9	1.600	0.792
J	8	1.599	0.696
J	7	1.601	0.610
J	6	1.603	0.537
J	5	1.606	0.523
J	4	1.597	0.506
J	3	1.591	0.488
J	2	1,582	0.474
10	一个	1,466	0.980
10	钾	1,465	0.934
10	问	1,464	0.918
10	J	1,465	0.926
10	9	1,388	0.823
10	8	1,388	0.734
10	7	1,388	0.650
10	6	1,394	0.569
10	5	1,394	0.497
10	4	1,388	0.481
10	3	1,383	0.465
10	2	1,377	0.453
9	一个	1,284	0.815
9	钾	1,288	0.767
9	问	1,286	0.755
9	J	1,287	0.769
9	10	1,288	0.803
9	8	1,223	0.720
9	7	1,224	0.663
9	6	1,226	0.591
9	5	1,226	0.513
9	4	1,225	0.438
9	3	1,221	0.426
9	2	1,216	0.414
8	一个	1,159	0.774
8	钾	1,159	0.669
8	问	1,160	0.655
8	J	1,163	0.672
8	10	1,162	0.708
8	9	1,159	0.708
8	7	1,110	0.688
8	6	1,110	0.635
8	5	1,112	0.560
8	4	1,109	0.479
8	3	1,108	0.407
8	2	1,103	0.398
7	一个	1,059	0.739
7	钾	1,063	0.649
7	问	1,066	0.577
7	J	1,068	0.584
7	10	1,069	0.620
7	9	1,062	0.643
7	8	1,065	0.673
7	6	1,021	0.661
7	5	1,027	0.609
7	4	1,024	0.532
7	3	1,024	0.451
7	2	1,022	0.383
6	一个	0.989	0.713
6	钾	0.994	0.629
6	问	0.994	0.564
6	J	1,000	0.515
6	10	1,000	0.541
6	9	0.997	0.568
6	8	0.996	0.617
6	7	0.995	0.650
6	5	0.962	0.643
6	4	0.961	0.584
6	3	0.959	0.508
6	2	0.960	0.429
5	一个	0.931	0.775
5	钾	0.935	0.613
5	问	0.937	0.552
5	J	0.939	0.507
5	10	0.943	0.476
5	9	0.940	0.494
5	8	0.940	0.543
5	7	0.940	0.597
5	6	0.937	0.635
5	4	0.911	0.633
5	3	0.906	0.571
5	2	0.909	0.500
4	一个	0.882	0.749
4	钾	0.887	0.590
4	问	0.891	0.530
4	J	0.891	0.487
4	10	0.893	0.458
4	9	0.894	0.420
4	8	0.891	0.460
4	7	0.895	0.514
4	6	0.891	0.570
4	5	0.891	0.623
4	3	0.866	0.534
4	2	0.864	0.478
3	一个	0.843	0.723
3	钾	0.848	0.568
3	问	0.850	0.509
3	J	0.852	0.467
3	10	0.853	0.440
3	9	0.851	0.404
3	8	0.854	0.386
3	7	0.853	0.429
3	6	0.853	0.488
3	5	0.851	0.556
3	4	0.851	0.525
3	2	0.829	0.440
2	一个	0.816	0.683
2	钾	0.818	0.544
2	问	0.823	0.489
2	J	0.823	0.445
2	10	0.826	0.421
2	9	0.824	0.386
2	8	0.823	0.374
2	7	0.826	0.360
2	6	0.824	0.403
2	5	0.824	0.478
2	4	0.823	0.459
2	3	0.821	0.431

带花色罚分的对子

任何一对的策略都很简单——持有该一对。

下表显示了当拿到一对和一张单张牌时，三种可能玩法的预期回报，其中单张牌与对子中的一张牌同花。同花牌是不利的，因为它降低了持有对子时形成同花的机会。如你所见，表格显示，持有对子总是具有最高的预期回报。

发三张同点牌

秩	单例模式	一对	适合单例	不适合单例
一个	钾	2.678	1.496	1.272
一个	问	2.690	1.379	1.143
一个	J	2.704	1.287	1.045
一个	10	2.714	1.224	0.975
一个	9	2.712	1.080	0.820
一个	8	2.707	1.042	0.777
一个	7	2.708	1.013	0.745
一个	6	2.710	0.986	0.713
一个	5	2.708	1.037	0.768
一个	4	2.691	1.014	0.744
一个	3	2.672	0.995	0.722
一个	2	2.650	0.962	0.687
钾	一个	2.378	1.485	1.250
钾	问	2.205	1.300	1.072
钾	J	2.214	1.221	0.986
钾	10	2.222	1.168	0.926
钾	9	2.223	1.026	0.773
钾	8	2.224	0.936	0.675
钾	7	2.224	0.915	0.652
钾	6	2.226	0.899	0.635
钾	5	2.226	0.884	0.618
钾	4	2.210	0.863	0.594
钾	3	2.198	0.846	0.576
钾	2	2.181	0.828	0.557
问	一个	1.984	1.367	1.119
问	钾	1.980	1.295	1.057
问	J	1.849	1.192	0.961
问	10	1.858	1.145	0.911
问	9	1.856	1.007	0.762
问	8	1.858	0.921	0.668
问	7	1.865	0.848	0.587
问	6	1.858	0.834	0.573
问	5	1.860	0.822	0.558
问	4	1.854	0.803	0.539
问	3	1.841	0.787	0.521
问	2	1.828	0.769	0.503
J	一个	1.686	1.280	1.024
我	钾	1,687	1,221	0.975
我	问	1,684	1,189	0.953
我	10	1,587	1,150	0.922
我	9	1,582	1,019	0.781
我	8	1,584	0.936	0.689
我	7	1,585	0.856	0.603
我	6	1,592	0.784	0.529
我	5	1,589	0.777	0.518
我	4	1,584	0.758	0.500
我	3	1,576	0.744	0.483
我	2	1,566	0.730	0.468
10	有	1,459	1,220	0.957
10	钾	1,454	1,169	0.917
10	问	1,456	1,144	0.901
10	我	1,456	1,145	0.912
10	9	1,371	1,048	0.816
10	8	1,372	0.962	0.724
10	7	1,374	0.885	0.641
10	6	1,378	0.813	0.562
10	5	1,383	0.744	0.490
10	4	1,374	0.733	0.476
10	3	1,369	0.717	0.460
10	2	1,364	0.703	0.447
9	有	1,276	1,068	0.792
9	钾	1,275	1.011	0.746
9	问	1,278	0.992	0.737
9	我	1,280	0.999	0.754
9	10	1,280	1,027	0.789
9	8	1,212	0.949	0.713
9	7	1,212	0.896	0.656
9	6	1,213	0.827	0.583
9	5	1,214	0.757	0.507
9	4	1,215	0.688	0.433
9	3	1,210	0.676	0.422
9	2	1,205	0.661	0.407
8	有	1,148	1,029	0.748
8	钾	1,149	0.923	0.652
8	问	1,154	0.902	0.639
8	我	1,155	0.911	0.658
8	10	1,153	0.939	0.695
8	9	1,150	0.934	0.694
8	7	1,099	0.915	0.678
8	6	1.101	0.866	0.627
8	5	1.102	0.799	0.556
8	4	1,100	0.722	0.474
8	3	1,097	0.653	0.401
8	2	1,094	0.644	0.394
7	一个	1,053	1,000	0.715
7	钾	1,054	0.904	0.627
7	问	1,058	0.829	0.560
7	J	1,059	0.831	0.570
7	10	1,062	0.862	0.612
7	9	1,057	0.878	0.633
7	8	1,054	0.902	0.663
7	6	1,016	0.889	0.655
7	5	1,016	0.841	0.605
7	4	1,014	0.763	0.524
7	3	1,014	0.689	0.445
7	2	1,013	0.625	0.379
6	一个	0.984	0.975	0.688
6	钾	0.985	0.888	0.610
6	问	0.988	0.820	0.549
6	J	0.991	0.768	0.503
6	10	0.992	0.785	0.529
6	9	0.988	0.808	0.558
6	8	0.988	0.848	0.606
6	7	0.986	0.877	0.641
6	5	0.953	0.868	0.637
6	4	0.952	0.811	0.577
6	3	0.950	0.737	0.500
6	2	0.949	0.663	0.424
5	一个	0.924	1,037	0.752
5	钾	0.930	0.876	0.596
5	问	0.931	0.811	0.538
5	J	0.933	0.760	0.494
5	10	0.939	0.725	0.464
5	9	0.936	0.740	0.484
5	8	0.931	0.783	0.535
5	7	0.933	0.827	0.587
5	6	0.930	0.859	0.626
5	4	0.900	0.855	0.627
5	3	0.900	0.798	0.568
5	2	0.902	0.727	0.496
4	一个	0.876	1,011	0.726
4	钾	0.880	0.856	0.573
4	问	0.884	0.792	0.516
4	J	0.885	0.742	0.473
4	10	0.886	0.712	0.449
4	9	0.888	0.670	0.410
4	8	0.887	0.704	0.452
4	7	0.886	0.749	0.505
4	6	0.884	0.796	0.561
4	5	0.883	0.848	0.618
4	3	0.859	0.759	0.530
4	2	0.858	0.704	0.474
3	一个	0.839	0.989	0.699
3	钾	0.840	0.834	0.549
3	问	0.846	0.771	0.494
3	J	0.847	0.724	0.453
3	10	0.849	0.694	0.429
3	9	0.846	0.656	0.394
3	8	0.848	0.634	0.378
3	7	0.846	0.669	0.421
3	6	0.846	0.721	0.481
3	5	0.845	0.781	0.549
3	4	0.843	0.749	0.518
3	2	0.822	0.667	0.436
2	一个	0.811	0.954	0.660
2	钾	0.813	0.813	0.526
2	问	0.816	0.751	0.472
2	J	0.817	0.707	0.434
2	10	0.819	0.675	0.410
2	9	0.816	0.640	0.377
2	8	0.819	0.623	0.366
2	7	0.818	0.603	0.352
2	6	0.816	0.641	0.397
2	5	0.819	0.704	0.470
2	4	0.817	0.687	0.454
2	3	0.815	0.660	0.427

三张同花单张

下表显示了拿到三张同花单张牌时三种可能打法的预期收益。大多数情况下，最佳打法是弃掉最小的那张牌。但是，如果所有牌都是小牌，且最小的两张牌点数接近，而最大的牌点数不同，那么有时你可以打出最小的两张牌来凑成顺子。

三张同花单张

手	丢弃	预期的返回中高级	预期的返回低和高	预期的返回低和中
AKQ	问	1.541	1.443	1.405
AKJ	J	1.550	1.325	1.305
AK-10	10	1.550	1.240	1.230
AK-9	9	1.559	1.102	1.093
AK-8	8	1.548	1.053	0.988
AK-7	7	1.557	1.016	0.967
AK-6	6	1.551	0.986	0.942
AK-5	5	1.559	1.031	0.924
AK-4	4	1.554	1.012	0.903
AK-3	3	1.543	0.987	0.885
AK-2	2	1.536	0.955	0.865
安琪儿	J	1.402	1.325	1.245
AQ-10	10	1.399	1.238	1.185
AQ-9	9	1.415	1.099	1.055
AQ-8	8	1.414	1.054	0.957
AQ-7	7	1.412	1.018	0.885
AQ-6	6	1.417	0.987	0.870
AQ-5	5	1.418	1.032	0.852
AQ-4	4	1.411	1.009	0.831
AQ-3	3	1.405	0.987	0.814
AQ-2	2	1.398	0.954	0.800
AJ-10	10	1.298	1.238	1.174
AJ-9	9	1.307	1.099	1.048
AJ-8	8	1.306	1.052	0.952
AJ-7	7	1.305	1.021	0.877
AJ-6	6	1.307	0.990	0.813
AJ-5	5	1.310	1.028	0.798
AJ-4	4	1.306	1.013	0.780
AJ-3	3	1.305	0.989	0.767
AJ-2	2	1.295	0.956	0.752
A-10-9	9	1.228	1.099	1.068
A-10-8	8	1.229	1.054	0.979
A-10-7	7	1.227	1.015	0.895
A-10-6	6	1.233	0.992	0.828
A-10-5	5	1.234	1.037	0.764
A-10-4	4	1.229	1.010	0.747
A-10-3	3	1.225	0.990	0.735
A-10-2	2	1.223	0.959	0.722
A-9-8	8	1.078	1.046	0.969
A-9-7	7	1.079	1.015	0.915
A-9-6	6	1.079	0.985	0.845
A-9-5	5	1.083	1.031	0.779
A-9-4	4	1.077	1.010	0.709
A-9-3	3	1.079	0.989	0.704
A-9-2	2	1.070	0.951	0.686
A-8-7	7	1.032	1.010	0.926
A-8-6	6	1.031	0.982	0.880
A-8-5	5	1.034	1.026	0.814
A-8-4	4	1.037	1.011	0.739
A-8-3	3	1.034	0.990	0.679
A-8-2	2	1.025	0.953	0.670
A-7-6	6	0.997	0.978	0.904
A-7-5	7	1.000	1.028	0.854
A-7-4	7	1.003	1.009	0.783
A-7-3	3	0.998	0.988	0.710
A-7-2	2	0.996	0.962	0.650
A-6-5	6	0.971	1.025	0.883
A-6-4	6	0.973	1.005	0.829
A-6-3	6	0.970	0.986	0.762
A-6-2	2	0.969	0.961	0.688
A-5-4	4	1.003	0.990	0.855
A-5-3	3	1.003	0.971	0.800
A-5-2	2	1.001	0.944	0.731
A-4-3	3	0.981	0.967	0.766
A-4-2	2	0.982	0.941	0.713
A-3-2	2	0.959	0.937	0.686
康庆杰	J	1.300	1.239	1.234
KQ-10	10	1.303	1.166	1.170
KQ-9	9	1.316	1.030	1.045
KQ-8	8	1.324	0.950	0.961
KQ-7	7	1.321	0.923	0.878
KQ-6	6	1.324	0.904	0.867
KQ-5	5	1.326	0.886	0.852
KQ-4	4	1.321	0.868	0.836
KQ-3	3	1.316	0.844	0.816
KQ-2	2	1.309	0.829	0.801
空警-10	10	1.216	1.170	1.159
空警-9	9	1.227	1.033	1.038
KJ-8	8	1.239	0.953	0.964
空警-7	7	1.239	0.930	0.880
空警-6	6	1.235	0.906	0.813
空警-5	5	1.239	0.891	0.804
KJ-4	4	1.232	0.864	0.780
空警-3	3	1.227	0.849	0.769
KJ-2	2	1.223	0.830	0.752
K-10-9	9	1.156	1.027	1.046
K-10-8	8	1.172	0.952	0.981
K-10-7	7	1.170	0.927	0.899
K-10-6	6	1.174	0.907	0.825
K-10-5	5	1.173	0.888	0.763
K-10-4	4	1.169	0.867	0.747
K-10-3	3	1.167	0.851	0.736
K-10-2	2	1.164	0.831	0.721
K-9-8	8	1.017	0.946	0.976
K-9-7	7	1.023	0.925	0.914
K-9-6	6	1.018	0.901	0.845
K-9-5	5	1.023	0.888	0.779
K-9-4	4	1.023	0.869	0.714
K-9-3	3	1.016	0.849	0.701
K-9-2	2	1.014	0.832	0.689
K-8-7	钾	0.931	0.917	0.933
K-8-6	6	0.931	0.897	0.882
K-8-5	5	0.935	0.884	0.816
K-8-4	4	0.934	0.866	0.745
K-8-3	3	0.930	0.848	0.682
K-8-2	2	0.927	0.826	0.675
K-7-6	6	0.906	0.894	0.901
K-7-5	5	0.908	0.880	0.857
K-7-4	4	0.908	0.866	0.785
K-7-3	3	0.907	0.848	0.714
K-7-2	2	0.905	0.833	0.655
K-6-5	5	0.883	0.874	0.880
K-6-4	4	0.883	0.859	0.824
K-6-3	3	0.888	0.846	0.760
K-6-2	2	0.886	0.831	0.689
K-5-4	钾	0.868	0.856	0.871
K-5-3	3	0.870	0.843	0.817
K-5-2	2	0.868	0.827	0.750
K-4-3	3	0.850	0.840	0.784
K-4-2	2	0.847	0.822	0.728
K-3-2	2	0.828	0.818	0.699
QJ-10	10	1.156	1.119	1.142
QJ-9	9	1.174	0.995	1.022
QJ-8	8	1.181	0.914	0.948
QJ-7	7	1.199	0.859	0.881
QJ-6	6	1.191	0.842	0.810
QJ-5	5	1.198	0.826	0.801
QJ-4	4	1.190	0.806	0.781
QJ-3	3	1.186	0.786	0.763
QJ-2	2	1.182	0.775	0.755
Q-10-9	9	1.114	0.993	1.034
Q-10-8	8	1.126	0.912	0.963
Q-10-7	7	1.141	0.854	0.900
Q-10-6	6	1.143	0.841	0.824
Q-10-5	5	1.139	0.825	0.763
Q-10-4	4	1.140	0.808	0.746
Q-10-3	3	1.140	0.793	0.734
Q-10-2	2	1.134	0.779	0.725
Q-9-8	8	0.981	0.911	0.960
Q-9-7	7	0.998	0.846	0.915
Q-9-6	6	0.997	0.840	0.841
Q-9-5	5	0.997	0.826	0.777
Q-9-4	4	0.999	0.810	0.712
Q-9-3	3	0.997	0.793	0.704
Q-9-2	2	0.993	0.775	0.692
Q-8-7	问	0.906	0.843	0.938
Q-8-6	6	0.910	0.833	0.883
Q-8-5	5	0.909	0.821	0.818
Q-8-4	4	0.909	0.805	0.742
Q-8-3	3	0.908	0.792	0.682
Q-8-2	2	0.906	0.773	0.672
Q-7-6	问	0.837	0.833	0.913
Q-7-5	问	0.836	0.816	0.860
Q-7-4	4	0.839	0.806	0.788
Q-7-3	3	0.840	0.788	0.715
Q-7-2	2	0.832	0.773	0.655
Q-6-5	问	0.821	0.813	0.883
Q-6-4	问	0.826	0.801	0.830
Q-6-3	3	0.823	0.786	0.761
Q-6-2	2	0.824	0.774	0.690
Q-5-4	问	0.808	0.794	0.873
Q-5-3	问	0.806	0.781	0.817
Q-5-2	2	0.808	0.770	0.750
Q-4-3	3	0.789	0.782	0.785
Q-4-2	2	0.789	0.768	0.732
Q-3-2	2	0.777	0.767	0.703
歼-10-9	9	1.094	0.979	1.021
歼-10-8	8	1.112	0.911	0.955
歼-10-7	7	1.122	0.839	0.886
歼-10-6	6	1.140	0.792	0.829
歼-10-5	5	1.136	0.781	0.762
D-10-4	4	1.132	0.763	0.745
D-10-3	3	1.132	0.749	0.730
D-10-2	2	1,129	0.734	0.721
D-9-8	8	0.974	0.903	0.946
D-9-7	7	0.991	0.841	0.907
D-9-6	6	1.006	0.791	0.853
D-9-5	5	1,000	0.778	0.777
D-9-4	4	1,000	0.764	0.711
D-9-3	3	0.997	0.744	0.700
D-9-2	2	0.998	0.731	0.689
D-8-7	我	0.902	0.836	0.928
D-8-6	6	0.917	0.785	0.888
D-8-5	5	0.920	0.776	0.817
D-8-4	4	0.918	0.758	0.741
D-8-3	3	0.913	0.743	0.679
D-8-2	2	0.916	0.730	0.672
D-7-6	我	0.836	0.781	0.913
D-7-5	我	0.838	0.771	0.858
D-7-4	4	0.839	0.756	0.786
D-7-3	3	0.837	0.739	0.710
D-7-2	2	0.839	0.734	0.655
D-6-5	我	0.778	0.773	0.890
D-6-4	我	0.775	0.756	0.833
D-6-3	3	0.775	0.740	0.766
D-6-2	2	0.776	0.732	0.691
D-5-4	我	0.765	0.756	0.875
D-5-3	我	0.765	0.738	0.814
D-5-2	2	0.762	0.725	0.749
D-4-3	我	0.751	0.743	0.788
D-4-2	2	0.749	0.729	0.731
D-3-2	2	0.734	0.725	0.702
10-9-8	8	0.982	0.915	0.929
10-9-7	7	0.997	0.850	0.887
10-9-6	6	1.007	0.792	0.833
10-9-5	5	1.025	0.744	0.780
10-9-4	4	1,023	0.733	0.710
10-9-3	3	1,017	0.715	0.696
10-9-2	2	1,018	0.705	0.687
10-8-7	7	0.916	0.852	0.911
10-8-6	6	0.932	0.792	0.873
10-8-5	5	0.942	0.743	0.817
10-8-4	4	0.938	0.729	0.737
10-8-3	3	0.943	0.722	0.680
10-8-2	2	0.938	0.705	0.670
10-7-6	10	0.853	0.788	0.901
10-7-5	5	0.863	0.736	0.858
10-7-4	4	0.864	0.728	0.783
10-7-3	3	0.867	0.717	0.709
10-7-2	2	0.865	0.709	0.654
10-6-5	10	0.793	0.738	0.892
10-6-4	10	0.792	0.727	0.827
10-6-3	3	0.794	0.714	0.762
10-6-2	2	0.790	0.700	0.687
10-5-4	10	0.733	0.724	0.876
10-5-3	10	0.732	0.711	0.822
10-5-2	10	0.733	0.700	0.753
10-4-3	10	0.718	0.709	0.784
10-4-2	10	0.720	0.700	0.734
10-3-2	2	0.706	0.699	0.702
9-8-7	7	0.898	0.856	0.897
9-8-6	6	0.910	0.800	0.857
9-8-5	5	0.925	0.748	0.806
9-8-4	4	0.941	0.698	0.746
9-8-3	3	0.934	0.682	0.677
9-8-2	2	0.929	0.673	0.669
9-7-6	9	0.858	0.800	0.886
9-7-5	5	0.869	0.744	0.847
9-7-4	4	0.883	0.689	0.788
9-7-3	3	0.881	0.680	0.710
9-7-2	2	0.879	0.670	0.651
9-6-5	9	0.802	0.743	0.881
9-6-4	9	0.816	0.690	0.831
9-6-3	3	0.814	0.680	0.759
9-6-2	2	0.816	0.668	0.688
9-5-4	9	0.748	0.689	0.882
9-5-3	9	0.746	0.676	0.817
9-5-2	9	0.750	0.669	0.752
9-4-3	9	0.683	0.676	0.792
9-4-2	9	0.685	0.668	0.736
9-3-2	9	0.672	0.666	0.704
8-7-6	8	0.864	0.825	0.869
8-7-5	5	0.875	0.772	0.832
8-7-4	4	0.890	0.712	0.773
8-7-3	3	0.907	0.665	0.715
8-7-2	2	0.902	0.657	0.653
8-6-5	8	0.831	0.771	0.866
8-6-4	4	0.842	0.710	0.816
8-6-3	3	0.855	0.661	0.762
8-6-2	2	0.855	0.654	0.689
8-5-4	8	0.775	0.706	0.864
8-5-3	8	0.791	0.658	0.823
8-5-2	2	0.786	0.652	0.748
8-4-3	8	0.717	0.657	0.796
8-4-2	8	0.717	0.652	0.733
8-3-2	8	0.653	0.652	0.709
7-6-5	7	0.841	0.802	0.849
7-6-4	4	0.852	0.740	0.800
7-6-3	3	0.868	0.683	0.746
7-6-2	2	0.882	0.637	0.693
7-5-4	7	0.804	0.742	0.852
7-5-3	3	0.819	0.680	0.808
7-5-2	2	0.836	0.636	0.753
7-4-3	7	0.754	0.685	0.784
7-4-2	2	0.769	0.637	0.740
7-3-2	7	0.694	0.639	0.715
6-5-4	6	0.823	0.777	0.832
6-5-3	3	0.838	0.720	0.790
6-5-2	2	0.851	0.665	0.738
6-4-3	3	0.782	0.718	0.762
6-4-2	2	0.796	0.662	0.720
6-3-2	2	0.732	0.661	0.696
5-4-3	3	0.810	0.759	0.742
5-4-2	2	0.826	0.711	0.700
5-3-2	2	0.772	0.709	0.677
4-3-2	2	0.738	0.691	0.673

三个不合适的单身人士

下表显示了拿到三张非同花单张牌时三种可能打法的预期收益。大多数情况下，最佳打法是弃掉最低的那张牌。但是，如果所有牌都是低牌，且最低的两张牌点数接近，而最高牌点数相差较大，那么有时你可以选择出最低的两张牌来凑成顺子。

三个不合适的单身人士

手	丢弃	预期的返回中高级	预期的返回低和高	预期的返回低和中
AKQ	问	1.423	1.309	1.263
AKJ	J	1.429	1.186	1.155
AK-10	10	1.431	1.092	1.074
AK-9	9	1.443	0.943	0.924
AK-8	8	1.438	0.888	0.814
AK-7	7	1.441	0.846	0.781
AK-6	6	1.440	0.814	0.756
AK-5	5	1.443	0.856	0.733
AK-4	4	1.440	0.835	0.712
AK-3	3	1.431	0.809	0.690
AK-2	2	1.420	0.773	0.669
安琪儿	J	1.272	1.186	1.099
AQ-10	10	1.273	1.091	1.028
AQ-9	9	1.288	0.940	0.890
AQ-8	8	1.285	0.889	0.783
AQ-7	7	1.284	0.850	0.700
AQ-6	6	1.286	0.813	0.682
AQ-5	5	1.288	0.859	0.663
AQ-4	4	1.284	0.834	0.642
AQ-3	3	1.279	0.811	0.622
AQ-2	2	1.271	0.777	0.607
AJ-10	10	1.154	1.091	1.017
AJ-9	9	1.169	0.941	0.890
AJ-8	8	1.169	0.888	0.785
AJ-7	7	1.169	0.850	0.697
AJ-6	6	1.169	0.819	0.626
AJ-5	5	1.172	0.861	0.611
AJ-4	4	1.170	0.838	0.591
AJ-3	3	1.164	0.812	0.572
AJ-2	2	1.156	0.778	0.558
A-10-9	9	1.080	0.941	0.905
A-10-8	8	1.080	0.888	0.809
A-10-7	7	1.079	0.848	0.721
A-10-6	6	1.082	0.818	0.643
A-10-5	5	1.086	0.866	0.576
A-10-4	4	1.083	0.838	0.558
A-10-3	3	1.078	0.811	0.542
A-10-2	2	1.072	0.778	0.528
A-9-8	8	0.915	0.880	0.805
A-9-7	7	0.916	0.842	0.741
A-9-6	6	0.917	0.811	0.666
A-9-5	5	0.921	0.860	0.592
A-9-4	4	0.919	0.837	0.521
A-9-3	3	0.916	0.809	0.508
A-9-2	2	0.910	0.774	0.494
A-8-7	7	0.862	0.838	0.757
A-8-6	6	0.864	0.809	0.705
A-8-5	5	0.870	0.858	0.632
A-8-4	4	0.868	0.834	0.553
A-8-3	3	0.866	0.815	0.487
A-8-2	2	0.863	0.775	0.479
A-7-6	6	0.827	0.805	0.729
A-7-5	7	0.830	0.855	0.677
A-7-4	7	0.829	0.832	0.603
A-7-3	3	0.828	0.811	0.523
A-7-2	2	0.827	0.782	0.463
A-6-5	6	0.798	0.857	0.710
A-6-4	6	0.796	0.835	0.652
A-6-3	6	0.795	0.811	0.581
A-6-2	2	0.796	0.781	0.505
A-5-4	4	0.830	0.814	0.680
A-5-3	3	0.827	0.791	0.624
A-5-2	2	0.827	0.762	0.554
A-4-3	3	0.804	0.789	0.591
A-4-2	2	0.803	0.760	0.537
A-3-2	2	0.782	0.758	0.508
康庆杰	J	1.166	1.093	1.081
KQ-10	10	1.165	1.013	1.011
KQ-9	9	1.183	0.869	0.873
KQ-8	8	1.195	0.782	0.787
KQ-7	7	1.195	0.753	0.700
KQ-6	6	1.194	0.727	0.683
KQ-5	5	1.193	0.707	0.665
KQ-4	4	1.190	0.685	0.644
KQ-3	3	1.185	0.665	0.625
KQ-2	2	1.180	0.647	0.610
空警-10	10	1.065	1.013	1.002
空警-9	9	1.082	0.870	0.872
KJ-8	8	1.096	0.783	0.789
空警-7	7	1.095	0.752	0.695
空警-6	6	1.094	0.731	0.625
空警-5	5	1.095	0.707	0.611
KJ-4	4	1.093	0.686	0.592
空警-3	3	1.089	0.666	0.575
KJ-2	2	1.083	0.646	0.559
K-10-9	9	1.009	0.868	0.890
K-10-8	8	1.023	0.780	0.813
K-10-7	7	1.021	0.751	0.721
K-10-6	6	1.023	0.730	0.642
K-10-5	5	1.023	0.712	0.576
K-10-4	4	1.023	0.688	0.560
K-10-3	3	1.018	0.666	0.544
K-10-2	2	1.013	0.646	0.530
K-9-8	8	0.857	0.778	0.810
K-9-7	7	0.856	0.747	0.740
K-9-6	6	0.859	0.726	0.666
K-9-5	5	0.860	0.709	0.593
K-9-4	4	0.857	0.687	0.523
K-9-3	3	0.856	0.664	0.511
K-9-2	2	0.851	0.645	0.499
K-8-7	钾	0.761	0.743	0.767
K-8-6	6	0.761	0.723	0.710
K-8-5	5	0.764	0.704	0.637
K-8-4	4	0.762	0.683	0.558
K-8-3	3	0.761	0.665	0.493
K-8-2	2	0.759	0.643	0.483
K-7-6	6	0.732	0.721	0.731
K-7-5	5	0.732	0.703	0.680
K-7-4	4	0.734	0.682	0.605
K-7-3	3	0.733	0.664	0.528
K-7-2	2	0.731	0.647	0.465
K-6-5	钾	0.708	0.698	0.712
K-6-4	4	0.708	0.679	0.653
K-6-3	3	0.709	0.663	0.581
K-6-2	2	0.711	0.646	0.506
K-5-4	钾	0.690	0.676	0.701
K-5-3	3	0.689	0.657	0.643
K-5-2	2	0.689	0.641	0.572
K-4-3	3	0.668	0.656	0.610
K-4-2	2	0.667	0.639	0.555
K-3-2	2	0.649	0.637	0.526
QJ-10	10	1.005	0.964	0.984
QJ-9	9	1.024	0.829	0.855
QJ-8	8	1.038	0.745	0.773
QJ-7	7	1.054	0.678	0.701
QJ-6	6	1.051	0.662	0.624
QJ-5	5	1.054	0.643	0.610
QJ-4	4	1.051	0.624	0.592
QJ-3	3	1.046	0.605	0.574
QJ-2	2	1.043	0.589	0.559
Q-10-9	9	0.961	0.827	0.872
Q-10-8	8	0.978	0.744	0.796
Q-10-7	7	0.993	0.677	0.726
Q-10-6	6	0.992	0.662	0.640
Q-10-5	5	0.993	0.647	0.574
Q-10-4	4	0.992	0.624	0.558
Q-10-3	3	0.989	0.607	0.544
Q-10-2	2	0.985	0.589	0.529
Q-9-8	8	0.819	0.740	0.795
Q-9-7	7	0.835	0.675	0.746
Q-9-6	6	0.836	0.660	0.667
Q-9-5	5	0.836	0.644	0.591
Q-9-4	4	0.835	0.626	0.522
Q-9-3	3	0.835	0.605	0.511
Q-9-2	2	0.831	0.590	0.497
Q-8-7	问	0.740	0.671	0.770
Q-8-6	6	0.739	0.655	0.708
Q-8-5	5	0.739	0.640	0.636
Q-8-4	4	0.741	0.624	0.558
Q-8-3	3	0.740	0.607	0.492
Q-8-2	2	0.737	0.586	0.482
Q-7-6	问	0.660	0.654	0.741
Q-7-5	问	0.662	0.640	0.685
Q-7-4	4	0.662	0.620	0.608
Q-7-3	3	0.663	0.606	0.531
Q-7-2	2	0.662	0.590	0.469
Q-6-5	问	0.644	0.636	0.712
Q-6-4	问	0.646	0.618	0.654
Q-6-3	3	0.646	0.603	0.582
Q-6-2	2	0.647	0.588	0.507
Q-5-4	问	0.628	0.616	0.700
Q-5-3	问	0.628	0.598	0.645
Q-5-2	2	0.629	0.584	0.573
Q-4-3	问	0.608	0.597	0.612
Q-4-2	2	0.608	0.582	0.556
Q-3-2	2	0.593	0.583	0.526
歼-10-9	9	0.943	0.815	0.857
歼-10-8	8	0.958	0.734	0.778
歼-10-7	7	0.975	0.667	0.710
歼-10-6	6	0.992	0.610	0.648
歼-10-5	5	0.992	0.597	0.574
D-10-4	4	0.988	0.575	0.557
D-10-3	3	0.987	0.559	0.541
D-10-2	2	0.984	0.545	0.528
D-9-8	8	0.812	0.734	0.778
D-9-7	7	0.828	0.665	0.730
D-9-6	6	0.843	0.607	0.671
D-9-5	5	0.842	0.596	0.591
D-9-4	4	0.844	0.579	0.521
D-9-3	3	0.841	0.559	0.508
D-9-2	2	0.839	0.544	0.496
D-8-7	我	0.734	0.663	0.756
D-8-6	6	0.750	0.605	0.715
D-8-5	5	0.750	0.594	0.635
D-8-4	4	0.749	0.577	0.556
D-8-3	3	0.750	0.562	0.492
D-8-2	2	0.749	0.545	0.482
D-7-6	我	0.664	0.602	0.746
D-7-5	我	0.662	0.590	0.684
D-7-4	4	0.667	0.575	0.607
D-7-3	3	0.667	0.560	0.530
D-7-2	2	0.666	0.548	0.468
D-6-5	我	0.595	0.590	0.721
D-6-4	我	0.596	0.574	0.658
D-6-3	3	0.597	0.559	0.586
D-6-2	2	0.598	0.545	0.510
D-5-4	我	0.581	0.569	0.701
D-5-3	我	0.584	0.556	0.646
D-5-2	2	0.585	0.543	0.574
D-4-3	我	0.565	0.555	0.613
D-4-2	2	0.565	0.542	0.556
D-3-2	2	0.549	0.540	0.526
10-9-8	8	0.821	0.746	0.762
10-9-7	7	0.836	0.678	0.712
10-9-6	6	0.854	0.615	0.655
10-9-5	5	0.868	0.563	0.594
10-9-4	4	0.866	0.548	0.520
10-9-3	3	0.867	0.529	0.507
10-9-2	2	0.865	0.517	0.494
10-8-7	7	0.749	0.677	0.739
10-8-6	6	0.763	0.614	0.698
10-8-5	5	0.780	0.561	0.642
10-8-4	4	0.779	0.547	0.555
10-8-3	3	0.780	0.534	0.489
10-8-2	2	0.779	0.518	0.481
10-7-6	10	0.681	0.612	0.730
10-7-5	5	0.696	0.559	0.688
10-7-4	4	0.696	0.546	0.606
10-7-3	3	0.697	0.533	0.527
10-7-2	2	0.697	0.522	0.466
10-6-5	10	0.619	0.558	0.725
10-6-4	10	0.616	0.543	0.657
10-6-3	3	0.619	0.531	0.585
10-6-2	2	0.619	0.520	0.508
10-5-4	10	0.552	0.541	0.708
10-5-3	10	0.553	0.527	0.649
10-5-2	10	0.553	0.516	0.576
10-4-3	10	0.538	0.528	0.612
10-4-2	10	0.537	0.516	0.557
10-3-2	10	0.525	0.516	0.528
9-8-7	7	0.725	0.680	0.721
9-8-6	6	0.741	0.622	0.679
9-8-5	5	0.756	0.564	0.623
9-8-4	4	0.773	0.508	0.559
9-8-3	3	0.774	0.498	0.487
9-8-2	2	0.772	0.483	0.477
9-7-6	9	0.682	0.620	0.710
9-7-5	5	0.698	0.562	0.670
9-7-4	4	0.715	0.506	0.611
9-7-3	3	0.716	0.497	0.526
9-7-2	2	0.716	0.486	0.464
9-6-5	9	0.626	0.560	0.709
9-6-4	9	0.644	0.505	0.662
9-6-3	3	0.643	0.495	0.583
9-6-2	2	0.645	0.482	0.506
9-5-4	9	0.568	0.502	0.711
9-5-3	9	0.569	0.492	0.647
9-5-2	9	0.572	0.483	0.575
9-4-3	9	0.501	0.493	0.618
9-4-2	9	0.501	0.483	0.561
9-3-2	9	0.490	0.481	0.526
8-7-6	8	0.692	0.650	0.694
8-7-5	5	0.705	0.594	0.652
8-7-4	4	0.725	0.530	0.593
8-7-3	3	0.742	0.479	0.531
8-7-2	2	0.739	0.471	0.461
8-6-5	8	0.654	0.592	0.692
8-6-4	4	0.672	0.528	0.644
8-6-3	3	0.690	0.477	0.589
8-6-2	2	0.690	0.469	0.503
8-5-4	8	0.601	0.527	0.695
8-5-3	8	0.618	0.476	0.652
8-5-2	2	0.618	0.468	0.572
8-4-3	8	0.540	0.476	0.623
8-4-2	8	0.539	0.470	0.559
8-3-2	8	0.474	0.469	0.534
7-6-5	7	0.667	0.625	0.674
7-6-4	4	0.685	0.565	0.627
7-6-3	3	0.704	0.504	0.571
7-6-2	2	0.719	0.455	0.510
7-5-4	7	0.632	0.562	0.678
7-5-3	3	0.650	0.501	0.635
7-5-2	2	0.668	0.452	0.579
7-4-3	7	0.576	0.502	0.607
7-4-2	2	0.592	0.454	0.563
7-3-2	7	0.517	0.456	0.539
6-5-4	6	0.651	0.598	0.662
6-5-3	3	0.669	0.541	0.616
6-5-2	2	0.685	0.482	0.561
6-4-3	3	0.611	0.543	0.588
6-4-2	2	0.629	0.483	0.546
6-3-2	2	0.558	0.486	0.522
5-4-3	3	0.640	0.588	0.566
5-4-2	2	0.658	0.533	0.521
5-3-2	2	0.602	0.535	0.498
4-3-2	2	0.572	0.519	0.500

三个单张牌 — 最低两个同花

下表显示了当发到三张单张牌且最小两张为同花色时，三种可能玩法的预期收益。60.5% 的情况下，最佳玩法是保留同花色的牌并丢弃最大的牌。其余情况下，最佳玩法是丢弃最小的牌。下表显示了从三张牌中选择两张的所有三种玩法的预期收益。

三个单张牌 — 最低两个同花

手	丢弃	预期的返回中高级	预期的返回低和高	预期的返回低和中
AKQ	一个	1.404	1.296	1.480
AKJ	J	1.407	1.175	1.379
AK-10	10	1.408	1.082	1.304
AK-9	9	1.421	0.936	1.168
AK-8	8	1.419	0.884	1.068
AK-7	7	1.419	0.840	1.037
AK-6	6	1.419	0.808	1.015
AK-5	5	1.421	0.853	0.995
AK-4	4	1.416	0.829	0.976
AK-3	3	1.409	0.805	0.953
AK-2	2	1.396	0.770	0.934
安琪儿	一个	1.255	1.175	1.317
AQ-10	10	1.257	1.081	1.255
AQ-9	9	1.269	0.933	1.129
AQ-8	8	1.268	0.884	1.030
AQ-7	7	1.268	0.845	0.953
AQ-6	6	1.269	0.809	0.939
AQ-5	5	1.271	0.856	0.923
AQ-4	4	1.269	0.833	0.904
AQ-3	3	1.262	0.809	0.886
AQ-2	2	1.252	0.773	0.868
AJ-10	一个	1.140	1.082	1.238
AJ-9	9	1.156	0.936	1.122
AJ-8	8	1.155	0.883	1.024
AJ-7	7	1.157	0.845	0.945
AJ-6	6	1.154	0.814	0.879
AJ-5	5	1.160	0.857	0.866
AJ-4	4	1.156	0.833	0.848
AJ-3	3	1.150	0.809	0.831
AJ-2	2	1.143	0.775	0.818
A-10-9	一个	1.068	0.935	1.131
A-10-8	8	1.070	0.881	1.041
A-10-7	7	1.067	0.843	0.962
A-10-6	6	1.069	0.812	0.888
A-10-5	5	1.074	0.861	0.824
A-10-4	4	1.071	0.834	0.811
A-10-3	3	1.068	0.809	0.796
A-10-2	2	1.061	0.775	0.782
A-9-8	一个	0.904	0.875	1.034
A-9-7	一个	0.906	0.836	0.975
A-9-6	6	0.908	0.807	0.905
A-9-5	5	0.912	0.856	0.838
A-9-4	4	0.911	0.834	0.773
A-9-3	3	0.906	0.805	0.760
A-9-2	2	0.902	0.772	0.751
A-8-7	一个	0.855	0.835	0.987
A-8-6	一个	0.856	0.805	0.939
A-8-5	一个	0.862	0.853	0.873
A-8-4	4	0.862	0.832	0.799
A-8-3	3	0.857	0.810	0.734
A-8-2	2	0.854	0.772	0.726
A-7-6	一个	0.820	0.802	0.958
A-7-5	一个	0.821	0.849	0.908
A-7-4	一个	0.821	0.828	0.839
A-7-3	3	0.821	0.807	0.764
A-7-2	2	0.819	0.778	0.705
A-6-5	一个	0.791	0.853	0.937
A-6-4	一个	0.789	0.827	0.880
A-6-3	一个	0.789	0.807	0.814
A-6-2	2	0.790	0.779	0.742
A-5-4	一个	0.824	0.810	0.906
A-5-3	一个	0.822	0.787	0.849
A-5-2	2	0.823	0.760	0.784
A-4-3	一个	0.799	0.786	0.818
A-4-2	2	0.801	0.758	0.764
A-3-2	2	0.778	0.753	0.735
康庆杰	钾	1.148	1.082	1.300
KQ-10	钾	1.148	1.005	1.238
KQ-9	9	1.164	0.862	1.114
KQ-8	8	1.177	0.776	1.032
KQ-7	7	1.175	0.748	0.953
KQ-6	6	1.178	0.723	0.938
KQ-5	5	1.177	0.705	0.923
KQ-4	4	1.171	0.680	0.906
KQ-3	3	1.171	0.664	0.885
KQ-2	2	1.161	0.642	0.870
空警-10	钾	1.054	1.005	1.223
空警-9	钾	1.069	0.861	1.105
KJ-8	8	1.081	0.776	1.031
空警-7	7	1.084	0.749	0.944
空警-6	6	1.080	0.726	0.879
空警-5	5	1.083	0.705	0.867
KJ-4	4	1.079	0.682	0.849
空警-3	3	1.077	0.663	0.833
KJ-2	2	1.068	0.643	0.819
K-10-9	钾	0.996	0.861	1.116
K-10-8	钾	1.011	0.774	1.044
K-10-7	7	1.011	0.748	0.960
K-10-6	6	1.014	0.727	0.889
K-10-5	5	1.011	0.707	0.828
K-10-4	4	1.011	0.684	0.814
K-10-3	3	1.007	0.663	0.798
K-10-2	2	1.001	0.643	0.783
K-9-8	钾	0.846	0.769	1.038
K-9-7	钾	0.849	0.744	0.976
K-9-6	钾	0.849	0.722	0.907
K-9-5	5	0.851	0.705	0.840
K-9-4	4	0.848	0.683	0.775
K-9-3	3	0.848	0.663	0.763
K-9-2	2	0.844	0.643	0.751
K-8-7	钾	0.751	0.737	0.994
K-8-6	钾	0.752	0.716	0.943
K-8-5	钾	0.756	0.698	0.877
K-8-4	钾	0.757	0.682	0.803
K-8-3	3	0.753	0.662	0.741
K-8-2	2	0.749	0.639	0.732
K-7-6	钾	0.725	0.717	0.961
K-7-5	钾	0.727	0.699	0.911
K-7-4	钾	0.727	0.680	0.840
K-7-3	钾	0.728	0.662	0.768
K-7-2	2	0.727	0.645	0.709
K-6-5	钾	0.704	0.695	0.940
K-6-4	钾	0.703	0.676	0.883
K-6-3	钾	0.703	0.659	0.815
K-6-2	钾	0.703	0.641	0.745
K-5-4	钾	0.683	0.671	0.925
K-5-3	钾	0.684	0.653	0.868
K-5-2	钾	0.683	0.636	0.801
K-4-3	钾	0.664	0.651	0.837
K-4-2	钾	0.663	0.635	0.782
K-3-2	钾	0.645	0.633	0.750
QJ-10	问	0.994	0.956	1.205
QJ-9	问	1.011	0.822	1.089
QJ-8	8	1.026	0.738	1.013
QJ-7	7	1.041	0.674	0.948
QJ-6	6	1.041	0.658	0.877
QJ-5	5	1.041	0.641	0.866
QJ-4	4	1.039	0.621	0.850
QJ-3	3	1.034	0.601	0.834
QJ-2	2	1.030	0.585	0.818
Q-10-9	问	0.953	0.822	1.101
Q-10-8	问	0.965	0.737	1.029
Q-10-7	7	0.982	0.672	0.964
Q-10-6	6	0.981	0.658	0.886
Q-10-5	5	0.982	0.645	0.825
Q-10-4	4	0.980	0.619	0.813
Q-10-3	3	0.977	0.603	0.796
Q-10-2	2	0.974	0.586	0.781
Q-9-8	问	0.812	0.737	1.027
Q-9-7	问	0.826	0.669	0.980
Q-9-6	问	0.826	0.655	0.906
Q-9-5	问	0.827	0.640	0.838
Q-9-4	4	0.828	0.622	0.774
Q-9-3	3	0.827	0.603	0.763
Q-9-2	2	0.823	0.587	0.750
Q-8-7	问	0.729	0.665	0.999
Q-8-6	问	0.732	0.651	0.943
Q-8-5	问	0.732	0.637	0.873
Q-8-4	问	0.733	0.620	0.803
Q-8-3	问	0.734	0.605	0.741
Q-8-2	问	0.730	0.586	0.731
Q-7-6	问	0.651	0.647	0.968
Q-7-5	问	0.652	0.633	0.917
Q-7-4	问	0.656	0.618	0.846
Q-7-3	问	0.657	0.600	0.772
Q-7-2	问	0.655	0.587	0.713
Q-6-5	问	0.639	0.633	0.938
Q-6-4	问	0.638	0.615	0.882
Q-6-3	问	0.640	0.599	0.816
Q-6-2	问	0.641	0.585	0.747
Q-5-4	问	0.624	0.612	0.927
Q-5-3	问	0.622	0.595	0.870
Q-5-2	问	0.624	0.582	0.804
Q-4-3	问	0.605	0.594	0.838
Q-4-2	问	0.605	0.580	0.783
Q-3-2	问	0.590	0.579	0.751
歼-10-9	J	0.930	0.808	1.084
歼-10-8	J	0.946	0.729	1.014
歼-10-7	7	0.964	0.660	0.951
歼-10-6	6	0.981	0.606	0.893
D-10-5	5	0.979	0.594	0.827
D-10-4	4	0.979	0.572	0.811
D-10-3	3	0.975	0.554	0.795
D-10-2	2	0.972	0.541	0.782
D-9-8	我	0.803	0.729	1,012
D-9-7	我	0.818	0.658	0.966
D-9-6	我	0.834	0.603	0.911
D-9-5	我	0.833	0.592	0.838
D-9-4	4	0.835	0.575	0.773
D-9-3	3	0.833	0.556	0.760
D-9-2	2	0.831	0.541	0.748
D-8-7	我	0.727	0.657	0.986
D-8-6	我	0.743	0.602	0.948
D-8-5	我	0.743	0.591	0.875
D-8-4	我	0.743	0.575	0.803
D-8-3	3	0.742	0.558	0.738
D-8-2	2	0.743	0.544	0.731
D-7-6	我	0.660	0.600	0.972
D-7-5	我	0.657	0.587	0.916
D-7-4	我	0.659	0.571	0.843
D-7-3	我	0.660	0.558	0.770
D-7-2	我	0.660	0.545	0.711
D-6-5	我	0.588	0.584	0.946
D-6-4	我	0.590	0.569	0.887
D-6-3	我	0.592	0.554	0.817
D-6-2	我	0.594	0.542	0.747
D-5-4	我	0.577	0.567	0.924
D-5-3	我	0.579	0.553	0.871
D-5-2	我	0.579	0.540	0.803
D-4-3	我	0.561	0.551	0.838
D-4-2	我	0.562	0.540	0.783
D-3-2	我	0.545	0.538	0.752
10-9-8	10	0.812	0.739	0.994
10-9-7	10	0.826	0.671	0.948
10-9-6	10	0.843	0.611	0.894
10-9-5	5	0.861	0.559	0.842
10-9-4	4	0.859	0.544	0.770
10-9-3	3	0.859	0.528	0.757
10-9-2	2	0.857	0.513	0.748
10-8-7	10	0.740	0.671	0.969
10-8-6	10	0.756	0.610	0.934
10-8-5	10	0.772	0.557	0.879
10-8-4	10	0.772	0.543	0.798
10-8-3	3	0.773	0.531	0.737
10-8-2	2	0.772	0.515	0.729
10-7-6	10	0.675	0.608	0.959
10-7-5	10	0.689	0.555	0.920
10-7-4	10	0.690	0.543	0.844
10-7-3	10	0.692	0.529	0.767
10-7-2	10	0.690	0.517	0.709
10-6-5	10	0.612	0.554	0.952
10-6-4	10	0.611	0.540	0.884
10-6-3	10	0.615	0.528	0.818
10-6-2	10	0.616	0.517	0.747
10-5-4	10	0.546	0.538	0.932
10-5-3	10	0.548	0.525	0.873
10-5-2	10	0.549	0.515	0.804
10-4-3	10	0.533	0.524	0.837
10-4-2	10	0.533	0.513	0.785
10-3-2	10	0.521	0.513	0.753
9-8-7	9	0.719	0.674	0.952
9-8-6	9	0.731	0.617	0.914
9-8-5	9	0.751	0.559	0.863
9-8-4	9	0.768	0.504	0.805
9-8-3	3	0.765	0.495	0.734
9-8-2	2	0.763	0.480	0.726
9-7-6	9	0.674	0.614	0.941
9-7-5	9	0.691	0.558	0.904
9-7-4	9	0.711	0.503	0.847
9-7-3	9	0.711	0.493	0.765
9-7-2	2	0.709	0.484	0.708
9-6-5	9	0.620	0.557	0.935
9-6-4	9	0.636	0.501	0.891
9-6-3	9	0.639	0.491	0.814
9-6-2	9	0.639	0.480	0.743
9-5-4	9	0.563	0.497	0.934
9-5-3	9	0.563	0.489	0.872
9-5-2	9	0.566	0.480	0.802
9-4-3	9	0.494	0.488	0.843
9-4-2	9	0.497	0.479	0.788
9-3-2	9	0.487	0.480	0.753
8-7-6	8	0.685	0.645	0.924
8-7-5	8	0.699	0.590	0.888
8-7-4	8	0.717	0.526	0.829
8-7-3	8	0.735	0.476	0.771
8-7-2	2	0.733	0.468	0.708
8-6-5	8	0.648	0.585	0.919
8-6-4	8	0.667	0.526	0.874
8-6-3	8	0.684	0.473	0.820
8-6-2	8	0.684	0.467	0.741
8-5-4	8	0.594	0.523	0.922
8-5-3	8	0.615	0.471	0.877
8-5-2	8	0.613	0.466	0.800
8-4-3	8	0.535	0.471	0.846
8-4-2	8	0.535	0.467	0.783
8-3-2	8	0.470	0.467	0.761
7-6-5	7	0.662	0.622	0.903
7-6-4	7	0.679	0.560	0.856
7-6-3	7	0.696	0.500	0.804
7-6-2	7	0.713	0.452	0.745
7-5-4	7	0.627	0.559	0.905
7-5-3	7	0.646	0.498	0.860
7-5-2	7	0.663	0.450	0.807
7-4-3	7	0.570	0.498	0.833
7-4-2	7	0.591	0.453	0.790
7-3-2	7	0.512	0.452	0.765
6-5-4	6	0.646	0.594	0.884
6-5-3	6	0.664	0.538	0.844
6-5-2	6	0.681	0.480	0.787
6-4-3	6	0.605	0.538	0.814
6-4-2	6	0.625	0.481	0.771
6-3-2	6	0.556	0.483	0.747
5-4-3	5	0.638	0.584	0.793
5-4-2	5	0.654	0.529	0.752
5-3-2	5	0.599	0.532	0.728
4-3-2	4	0.566	0.517	0.726

三张单张牌 — 两张同花牌之外

下表显示了当发到三张单张牌时，最低和最高两张牌为同花色时，所有三种可能玩法的预期收益。74.1% 的情况下，最佳玩法是保留同花色的牌并丢弃中间的牌。下表显示了从三张牌中选择两张的所有三种玩法的预期收益。

三张单张牌 — 两张同花牌之外

手	丢弃	预期的返回中高级	预期的返回低和高	预期的返回低和中
AKQ	钾	1.400	1.533	1.256
AKJ	钾	1.405	1.417	1.146
AK-10	10	1.404	1.332	1.065
AK-9	9	1.419	1.196	0.918
AK-8	8	1.415	1.147	0.810
AK-7	7	1.418	1.109	0.778
AK-6	6	1.416	1.080	0.749
AK-5	5	1.417	1.119	0.729
AK-4	4	1.413	1.098	0.706
AK-3	3	1.405	1.078	0.686
AK-2	2	1.397	1.045	0.666
安琪儿	问	1.244	1.416	1.088
AQ-10	问	1.250	1.329	1.021
AQ-9	9	1.263	1.194	0.885
AQ-8	8	1.260	1.144	0.778
AQ-7	7	1.260	1.111	0.696
AQ-6	6	1.260	1.078	0.678
AQ-5	5	1.263	1.124	0.660
AQ-4	4	1.260	1.103	0.641
AQ-3	3	1.253	1.081	0.620
AQ-2	2	1.248	1.048	0.605
AJ-10	J	1.133	1.331	1.011
AJ-9	J	1.147	1.195	0.884
AJ-8	J	1.145	1.147	0.780
AJ-7	7	1.144	1.112	0.694
AJ-6	6	1.144	1.084	0.623
AJ-5	5	1.146	1.125	0.606
AJ-4	4	1.144	1.103	0.587
AJ-3	3	1.139	1.082	0.572
AJ-2	2	1.134	1.050	0.557
A-10-9	10	1.055	1.194	0.899
A-10-8	10	1.057	1.149	0.802
A-10-7	10	1.054	1.109	0.718
A-10-6	10	1.059	1.083	0.641
A-10-5	10	1.063	1.131	0.572
A-10-4	10	1.057	1.102	0.554
A-10-3	10	1.055	1.081	0.541
A-10-2	10	1.048	1.049	0.525
A-9-8	9	0.891	1.138	0.799
A-9-7	9	0.892	1.103	0.737
A-9-6	9	0.894	1.076	0.663
A-9-5	9	0.900	1.124	0.590
A-9-4	9	0.895	1.104	0.518
A-9-3	9	0.891	1.075	0.504
A-9-2	9	0.890	1.046	0.495
A-8-7	8	0.839	1.102	0.751
A-8-6	8	0.842	1.075	0.702
A-8-5	8	0.843	1.119	0.630
A-8-4	8	0.844	1.101	0.550
A-8-3	8	0.844	1.083	0.485
A-8-2	8	0.839	1.048	0.475
A-7-6	7	0.802	1.070	0.726
A-7-5	7	0.805	1.117	0.673
A-7-4	7	0.807	1.099	0.600
A-7-3	7	0.806	1.081	0.520
A-7-2	7	0.805	1.054	0.461
A-6-5	6	0.775	1.120	0.707
A-6-4	6	0.774	1.102	0.649
A-6-3	6	0.773	1.080	0.578
A-6-2	6	0.773	1.055	0.502
A-5-4	5	0.805	1.078	0.678
A-5-3	5	0.807	1.061	0.622
A-5-2	5	0.805	1.034	0.553
A-4-3	4	0.782	1.059	0.588
A-4-2	4	0.782	1.033	0.533
A-3-2	3	0.760	1.030	0.504
康庆杰	问	1.144	1.318	1.073
KQ-10	问	1.147	1.249	1.006
KQ-9	9	1.162	1.116	0.867
KQ-8	8	1.175	1.038	0.783
KQ-7	7	1.171	1.009	0.694
KQ-6	6	1.173	0.985	0.679
KQ-5	5	1.172	0.969	0.661
KQ-4	4	1.172	0.951	0.643
KQ-3	3	1.166	0.935	0.623
KQ-2	2	1.159	0.914	0.607
空警-10	J	1.047	1.246	0.994
空警-9	J	1.063	1.115	0.865
KJ-8	8	1.078	1.037	0.783
空警-7	7	1.075	1.008	0.691
空警-6	6	1.076	0.991	0.622
空警-5	5	1.078	0.973	0.608
KJ-4	4	1.073	0.952	0.589
空警-3	3	1.069	0.935	0.571
KJ-2	2	1.061	0.914	0.556
K-10-9	10	0.988	1.112	0.882
K-10-8	10	1.002	1.035	0.808
K-10-7	10	1.003	1.008	0.715
K-10-6	6	1.005	0.991	0.638
K-10-5	5	1.005	0.977	0.574
K-10-4	4	1.003	0.952	0.557
K-10-3	3	0.998	0.934	0.541
K-10-2	2	0.994	0.917	0.527
K-9-8	9	0.838	1.032	0.805
K-9-7	9	0.838	1.005	0.737
K-9-6	9	0.841	0.986	0.664
K-9-5	9	0.842	0.974	0.591
K-9-4	9	0.841	0.954	0.522
K-9-3	9	0.838	0.933	0.508
K-9-2	9	0.831	0.913	0.496
K-8-7	8	0.743	1.001	0.763
K-8-6	8	0.742	0.981	0.705
K-8-5	8	0.744	0.968	0.635
K-8-4	8	0.745	0.949	0.556
K-8-3	8	0.745	0.937	0.491
K-8-2	8	0.741	0.912	0.481
K-7-6	7	0.714	0.983	0.729
K-7-5	7	0.714	0.964	0.677
K-7-4	7	0.715	0.950	0.603
K-7-3	7	0.716	0.933	0.526
K-7-2	7	0.714	0.917	0.463
K-6-5	6	0.690	0.964	0.709
K-6-4	6	0.692	0.947	0.650
K-6-3	6	0.692	0.928	0.580
K-6-2	6	0.693	0.913	0.505
K-5-4	5	0.670	0.942	0.695
K-5-3	5	0.672	0.927	0.641
K-5-2	5	0.672	0.909	0.570
K-4-3	4	0.653	0.926	0.609
K-4-2	4	0.652	0.908	0.553
K-3-2	3	0.632	0.906	0.524
QJ-10	J	0.991	1.193	0.974
QJ-9	J	1.009	1.069	0.849
QJ-8	8	1.023	0.993	0.766
QJ-7	7	1.038	0.933	0.697
QJ-6	6	1.037	0.920	0.622
QJ-5	5	1.037	0.902	0.607
QJ-4	4	1.036	0.885	0.589
QJ-3	3	1.035	0.872	0.572
QJ-2	2	1.026	0.851	0.555
Q-10-9	10	0.945	1.067	0.865
Q-10-8	10	0.965	0.991	0.792
Q-10-7	7	0.978	0.933	0.721
Q-10-6	6	0.976	0.920	0.637
Q-10-5	5	0.977	0.904	0.572
Q-10-4	4	0.976	0.884	0.554
Q-10-3	3	0.975	0.868	0.540
Q-10-2	2	0.971	0.854	0.527
Q-9-8	9	0.807	0.989	0.790
Q-9-7	9	0.821	0.929	0.742
Q-9-6	9	0.820	0.915	0.662
Q-9-5	9	0.820	0.903	0.587
Q-9-4	9	0.821	0.888	0.518
Q-9-3	9	0.824	0.870	0.509
Q-9-2	9	0.817	0.852	0.494
Q-8-7	8	0.723	0.925	0.766
Q-8-6	8	0.724	0.912	0.704
Q-8-5	8	0.724	0.901	0.633
Q-8-4	8	0.726	0.884	0.555
Q-8-3	8	0.726	0.869	0.490
Q-8-2	8	0.725	0.853	0.482
Q-7-6	7	0.645	0.910	0.736
Q-7-5	7	0.646	0.897	0.681
Q-7-4	7	0.647	0.884	0.604
Q-7-3	7	0.649	0.868	0.528
Q-7-2	7	0.647	0.854	0.465
Q-6-5	6	0.630	0.898	0.710
Q-6-4	6	0.629	0.880	0.650
Q-6-3	6	0.631	0.865	0.581
Q-6-2	6	0.634	0.853	0.505
Q-5-4	5	0.613	0.877	0.697
Q-5-3	5	0.613	0.863	0.642
Q-5-2	5	0.614	0.850	0.571
Q-4-3	4	0.596	0.863	0.610
Q-4-2	4	0.595	0.848	0.554
Q-3-2	3	0.580	0.847	0.525
歼-10-9	10	0.930	1.051	0.850
歼-10-8	10	0.946	0.977	0.774
歼-10-7	7	0.964	0.915	0.707
歼-10-6	6	0.979	0.863	0.643
歼-10-5	5	0.980	0.853	0.571
D-10-4	4	0.978	0.834	0.555
D-10-3	3	0.975	0.817	0.539
D-10-2	2	0.972	0.804	0.526
D-9-8	9	0.797	0.976	0.772
D-9-7	9	0.814	0.913	0.725
D-9-6	9	0.831	0.863	0.669
D-9-5	9	0.831	0.851	0.587
D-9-4	9	0.832	0.835	0.518
D-9-3	3	0.828	0.819	0.505
D-9-2	2	0.827	0.804	0.493
D-8-7	8	0.721	0.910	0.750
D-8-6	8	0.738	0.860	0.713
D-8-5	8	0.737	0.847	0.633
D-8-4	8	0.739	0.836	0.554
D-8-3	8	0.740	0.819	0.488
D-8-2	8	0.739	0.808	0.479
D-7-6	7	0.653	0.858	0.742
D-7-5	7	0.652	0.847	0.680
D-7-4	7	0.653	0.833	0.604
D-7-3	7	0.655	0.819	0.528
D-7-2	7	0.654	0.808	0.466
D-6-5	6	0.583	0.845	0.716
D-6-4	6	0.585	0.830	0.656
D-6-3	6	0.587	0.819	0.584
D-6-2	6	0.586	0.807	0.507
D-5-4	5	0.571	0.829	0.698
D-5-3	5	0.572	0.816	0.641
D-5-2	5	0.573	0.803	0.571
D-4-3	4	0.553	0.815	0.609
D-4-2	4	0.554	0.803	0.554
D-3-2	3	0.538	0.801	0.524
10-9-8	9	0.810	0.981	0.756
10-9-7	9	0.824	0.916	0.706
10-9-6	9	0.842	0.861	0.649
10-9-5	5	0.859	0.815	0.592
10-9-4	4	0.856	0.802	0.515
10-9-3	3	0.858	0.785	0.504
10-9-2	2	0.854	0.773	0.491
10-8-7	8	0.737	0.918	0.732
10-8-6	8	0.752	0.860	0.694
10-8-5	8	0.770	0.815	0.639
10-8-4	8	0.769	0.801	0.553
10-8-3	8	0.770	0.788	0.485
10-8-2	8	0.769	0.773	0.477
10-7-6	7	0.670	0.859	0.727
10-7-5	7	0.686	0.811	0.683
10-7-4	7	0.687	0.800	0.602
10-7-3	7	0.688	0.790	0.525
10-7-2	7	0.688	0.777	0.465
10-6-5	6	0.609	0.813	0.722
10-6-4	6	0.608	0.801	0.653
10-6-3	6	0.609	0.787	0.581
10-6-2	6	0.611	0.776	0.508
10-5-4	5	0.541	0.795	0.705
10-5-3	5	0.543	0.783	0.645
10-5-2	5	0.545	0.773	0.575
10-4-3	4	0.528	0.783	0.609
10-4-2	4	0.530	0.773	0.555
10-3-2	3	0.516	0.774	0.525
9-8-7	8	0.717	0.918	0.715
9-8-6	8	0.732	0.864	0.674
9-8-5	8	0.748	0.810	0.619
9-8-4	4	0.765	0.759	0.556
9-8-3	3	0.763	0.751	0.484
9-8-2	2	0.764	0.736	0.476
9-7-6	7	0.674	0.862	0.707
9-7-5	7	0.690	0.808	0.666
9-7-4	7	0.707	0.759	0.607
9-7-3	7	0.708	0.749	0.523
9-7-2	7	0.706	0.737	0.462
9-6-5	6	0.618	0.808	0.706
9-6-4	6	0.635	0.756	0.657
9-6-3	6	0.636	0.748	0.578
9-6-2	6	0.637	0.738	0.504
9-5-4	5	0.562	0.756	0.710
9-5-3	5	0.560	0.749	0.642
9-5-2	5	0.562	0.735	0.572
9-4-3	4	0.491	0.746	0.616
9-4-2	4	0.494	0.738	0.557
9-3-2	3	0.482	0.738	0.524
8-7-6	7	0.685	0.886	0.688
8-7-5	7	0.700	0.835	0.648
8-7-4	7	0.717	0.777	0.588
8-7-3	3	0.736	0.728	0.530
8-7-2	2	0.735	0.722	0.463
8-6-5	6	0.649	0.834	0.687
8-6-4	6	0.666	0.775	0.640
8-6-3	6	0.682	0.725	0.584
8-6-2	6	0.682	0.719	0.501
8-5-4	5	0.593	0.772	0.692
8-5-3	5	0.611	0.724	0.648
8-5-2	5	0.612	0.717	0.570
8-4-3	4	0.534	0.727	0.619
8-4-2	4	0.532	0.719	0.557
8-3-2	3	0.468	0.719	0.531
7-6-5	6	0.662	0.860	0.669
7-6-4	6	0.679	0.803	0.621
7-6-3	6	0.698	0.745	0.567
7-6-2	2	0.712	0.700	0.505
7-5-4	5	0.626	0.800	0.675
7-5-3	5	0.646	0.742	0.631
7-5-2	5	0.663	0.697	0.576
7-4-3	4	0.571	0.746	0.603
7-4-2	4	0.589	0.699	0.561
7-3-2	3	0.510	0.701	0.536
6-5-4	5	0.645	0.829	0.656
6-5-3	5	0.662	0.776	0.612
6-5-2	5	0.681	0.721	0.557
6-4-3	4	0.605	0.778	0.587
6-4-2	4	0.623	0.722	0.543
6-3-2	3	0.553	0.723	0.518
5-4-3	4	0.635	0.816	0.562
5-4-2	4	0.654	0.762	0.519
5-3-2	3	0.597	0.764	0.495
4-3-2	3	0.567	0.748	0.494

三张单张牌 — 最高两张同花

下表显示了当发到三张单张牌且最小两张为同花色时，所有三种可能玩法的预期回报。100% 的情况下，最佳玩法是保留同花色的牌并丢弃最小的牌。其余情况下，丢弃最小的牌。下表显示了从三张牌中选择两张的所有三种玩法的预期回报。

三张单张牌 — 最高两张同花

手	丢弃	预期的返回中高级	预期的返回低和高	预期的返回低和中
AKQ	问	1.632	1.286	1.252
AKJ	J	1.638	1.162	1.143
AK-10	10	1.638	1.066	1.060
AK-9	9	1.651	0.920	0.912
AK-8	8	1.646	0.865	0.803
AK-7	7	1.651	0.823	0.769
AK-6	6	1.645	0.789	0.743
AK-5	5	1.652	0.837	0.720
AK-4	4	1.646	0.810	0.699
AK-3	3	1.636	0.784	0.678
AK-2	2	1.629	0.752	0.657
安琪儿	J	1.493	1.160	1.088
AQ-10	10	1.498	1.067	1.019
AQ-9	9	1.512	0.921	0.881
AQ-8	8	1.506	0.865	0.773
AQ-7	7	1.506	0.827	0.691
AQ-6	6	1.506	0.791	0.674
AQ-5	5	1.510	0.837	0.654
AQ-4	4	1.507	0.812	0.633
AQ-3	3	1.499	0.786	0.613
AQ-2	2	1.491	0.753	0.597
AJ-10	10	1.387	1.066	1.009
AJ-9	9	1.402	0.919	0.882
AJ-8	8	1.400	0.864	0.777
AJ-7	7	1.401	0.827	0.689
AJ-6	6	1.399	0.796	0.617
AJ-5	5	1.404	0.839	0.603
AJ-4	4	1.401	0.813	0.585
AJ-3	3	1.395	0.790	0.567
AJ-2	2	1.388	0.754	0.550
A-10-9	9	1.321	0.920	0.900
A-10-8	8	1.321	0.865	0.799
A-10-7	7	1.320	0.826	0.716
A-10-6	6	1.322	0.795	0.635
A-10-5	5	1.326	0.842	0.570
A-10-4	4	1.324	0.816	0.552
A-10-3	3	1.318	0.791	0.536
A-10-2	2	1.315	0.757	0.523
A-9-8	8	1.168	0.856	0.799
A-9-7	7	1.171	0.819	0.736
A-9-6	6	1.170	0.787	0.660
A-9-5	5	1.174	0.835	0.584
A-9-4	4	1.174	0.815	0.517
A-9-3	3	1.170	0.786	0.505
A-9-2	2	1.164	0.752	0.489
A-8-7	7	1.123	0.816	0.753
A-8-6	6	1.122	0.786	0.700
A-8-5	5	1.126	0.835	0.628
A-8-4	4	1.127	0.812	0.549
A-8-3	3	1.123	0.791	0.483
A-8-2	2	1.118	0.752	0.474
A-7-6	6	1.087	0.783	0.726
A-7-5	5	1.091	0.831	0.672
A-7-4	4	1.091	0.809	0.599
A-7-3	3	1.090	0.788	0.520
A-7-2	2	1.088	0.758	0.458
A-6-5	5	1.063	0.834	0.707
A-6-4	4	1.064	0.812	0.649
A-6-3	3	1.063	0.789	0.576
A-6-2	2	1.062	0.761	0.502
A-5-4	4	1.090	0.789	0.677
A-5-3	3	1.094	0.771	0.622
A-5-2	2	1.091	0.738	0.552
A-4-3	3	1.072	0.768	0.589
A-4-2	2	1.069	0.735	0.532
A-3-2	2	1.050	0.736	0.504
康庆杰	J	1.384	1.072	1.071
KQ-10	10	1.387	0.995	1.002
KQ-9	9	1.398	0.849	0.862
KQ-8	8	1.414	0.764	0.779
KQ-7	7	1.412	0.733	0.689
KQ-6	6	1.414	0.709	0.672
KQ-5	5	1.411	0.689	0.655
KQ-4	4	1.408	0.668	0.635
KQ-3	3	1.402	0.647	0.617
KQ-2	2	1.393	0.625	0.599
空警-10	10	1.291	0.992	0.991
空警-9	9	1.311	0.849	0.864
KJ-8	8	1.323	0.765	0.783
空警-7	7	1.323	0.735	0.688
空警-6	6	1.321	0.712	0.619
空警-5	5	1.322	0.689	0.604
KJ-4	4	1.322	0.669	0.587
空警-3	3	1.316	0.649	0.569
KJ-2	2	1.309	0.629	0.552
K-10-9	9	1.242	0.850	0.885
K-10-8	8	1.258	0.762	0.806
K-10-7	7	1.258	0.734	0.714
K-10-6	6	1.258	0.713	0.637
K-10-5	5	1.254	0.691	0.570
K-10-4	4	1.254	0.670	0.553
K-10-3	3	1.252	0.649	0.538
K-10-2	2	1.246	0.629	0.522
K-9-8	8	1.104	0.758	0.805
K-9-7	7	1.104	0.730	0.736
K-9-6	6	1.106	0.707	0.662
K-9-5	5	1.107	0.688	0.586
K-9-4	4	1.105	0.670	0.519
K-9-3	3	1.103	0.647	0.504
K-9-2	2	1.097	0.627	0.494
K-8-7	7	1.016	0.726	0.762
K-8-6	6	1.016	0.701	0.706
K-8-5	5	1.019	0.686	0.633
K-8-4	4	1.019	0.666	0.555
K-8-3	3	1.017	0.647	0.488
K-8-2	2	1.013	0.624	0.478
K-7-6	6	0.992	0.702	0.727
K-7-5	5	0.993	0.685	0.679
K-7-4	4	0.992	0.664	0.601
K-7-3	3	0.993	0.647	0.524
K-7-2	2	0.992	0.631	0.464
K-6-5	5	0.970	0.681	0.710
K-6-4	4	0.970	0.662	0.649
K-6-3	3	0.970	0.643	0.577
K-6-2	2	0.972	0.627	0.503
K-5-4	4	0.954	0.658	0.697
K-5-3	3	0.951	0.641	0.642
K-5-2	2	0.953	0.623	0.571
K-4-3	3	0.935	0.638	0.610
K-4-2	2	0.934	0.621	0.553
K-3-2	2	0.916	0.620	0.523
QJ-10	10	1.228	0.948	0.974
QJ-9	9	1.245	0.814	0.846
QJ-8	8	1.262	0.732	0.765
QJ-7	7	1.273	0.662	0.692
QJ-6	6	1.274	0.648	0.618
QJ-5	5	1.275	0.628	0.602
QJ-4	4	1.274	0.608	0.584
QJ-3	3	1.269	0.591	0.567
QJ-2	2	1.265	0.573	0.550
Q-10-9	9	1.192	0.814	0.867
Q-10-8	8	1.204	0.730	0.788
Q-10-7	7	1.224	0.665	0.720
Q-10-6	6	1.219	0.648	0.633
Q-10-5	5	1.221	0.631	0.568
Q-10-4	4	1.219	0.608	0.551
Q-10-3	3	1.216	0.590	0.537
Q-10-2	2	1.213	0.576	0.523
Q-9-8	8	1.062	0.724	0.789
Q-9-7	7	1.076	0.658	0.739
Q-9-6	6	1.078	0.645	0.661
Q-9-5	5	1.077	0.630	0.587
Q-9-4	4	1.078	0.611	0.517
Q-9-3	3	1.074	0.590	0.504
Q-9-2	2	1.072	0.573	0.491
Q-8-7	7	0.986	0.655	0.766
Q-8-6	6	0.988	0.641	0.705
Q-8-5	5	0.987	0.626	0.632
Q-8-4	4	0.991	0.610	0.555
Q-8-3	3	0.990	0.593	0.488
Q-8-2	2	0.986	0.574	0.478
Q-7-6	6	0.916	0.639	0.736
Q-7-5	5	0.916	0.625	0.681
Q-7-4	4	0.917	0.605	0.604
Q-7-3	3	0.916	0.589	0.526
Q-7-2	2	0.916	0.574	0.465
Q-6-5	5	0.902	0.625	0.710
Q-6-4	4	0.902	0.604	0.651
Q-6-3	3	0.903	0.589	0.579
Q-6-2	2	0.904	0.573	0.504
Q-5-4	4	0.887	0.599	0.698
Q-5-3	3	0.885	0.583	0.643
Q-5-2	2	0.889	0.571	0.573
Q-4-3	3	0.872	0.584	0.608
Q-4-2	2	0.870	0.568	0.555
Q-3-2	2	0.855	0.568	0.525
歼-10-9	9	1.165	0.803	0.850
歼-10-8	8	1.183	0.723	0.773
歼-10-7	7	1.197	0.654	0.704
歼-10-6	6	1.214	0.599	0.641
D-10-5	5	1,213	0.585	0.566
D-10-4	4	1,210	0.564	0.551
D-10-3	3	1,209	0.547	0.535
D-10-2	2	1,206	0.533	0.521
D-9-8	8	1,046	0.721	0.772
D-9-7	7	1,062	0.650	0.725
D-9-6	6	1,077	0.596	0.666
D-9-5	5	1,078	0.585	0.586
D-9-4	4	1,075	0.566	0.516
D-9-3	3	1,077	0.548	0.504
D-9-2	2	1,075	0.534	0.491
D-8-7	7	0.976	0.650	0.753
D-8-6	6	0.992	0.593	0.710
D-8-5	5	0.990	0.581	0.632
D-8-4	4	0.994	0.566	0.553
D-8-3	3	0.990	0.549	0.485
D-8-2	2	0.989	0.533	0.476
D-7-6	6	0.914	0.591	0.740
D-7-5	5	0.914	0.581	0.681
D-7-4	4	0.916	0.563	0.603
D-7-3	3	0.915	0.548	0.526
D-7-2	2	0.915	0.536	0.465
D-6-5	5	0.848	0.577	0.716
D-6-4	4	0.851	0.562	0.655
D-6-3	3	0.850	0.546	0.582
D-6-2	2	0.853	0.534	0.507
D-5-4	4	0.839	0.559	0.698
D-5-3	3	0.839	0.541	0.641
D-5-2	2	0.840	0.531	0.572
D-4-3	3	0.822	0.542	0.609
D-4-2	2	0.823	0.530	0.555
D-3-2	2	0.810	0.530	0.524
10-9-8	8	1,050	0.735	0.756
10-9-7	7	1,066	0.667	0.706
10-9-6	6	1,083	0.604	0.649
10-9-5	5	1,099	0.553	0.592
10-9-4	4	1,096	0.538	0.513
10-9-3	3	1,097	0.521	0.501
10-9-2	2	1,093	0.508	0.488
10-8-7	7	0.983	0.665	0.733
10-8-6	6	0.999	0.604	0.693
10-8-5	5	1,016	0.553	0.638
10-8-4	4	1,014	0.538	0.549
10-8-3	3	1,016	0.524	0.486
10-8-2	2	1,014	0.507	0.474
10-7-6	6	0.922	0.602	0.724
10-7-5	5	0.937	0.551	0.685
10-7-4	4	0.937	0.536	0.599
10-7-3	3	0.937	0.523	0.523
10-7-2	2	0.939	0.511	0.462
10-6-5	5	0.866	0.549	0.721
10-6-4	4	0.864	0.533	0.653
10-6-3	3	0.866	0.520	0.581
10-6-2	2	0.868	0.510	0.505
10-5-4	4	0.803	0.531	0.705
10-5-3	3	0.804	0.519	0.645
10-5-2	2	0.807	0.508	0.575
10-4-3	3	0.792	0.518	0.609
10-4-2	2	0.794	0.506	0.555
10-3-2	2	0.779	0.506	0.525
9-8-7	7	0.959	0.671	0.715
9-8-6	6	0.975	0.614	0.673
9-8-5	5	0.990	0.556	0.619
9-8-4	4	1.006	0.500	0.554
9-8-3	3	1.006	0.488	0.481
9-8-2	2	1.003	0.474	0.471
9-7-6	6	0.918	0.611	0.707
9-7-5	5	0.937	0.554	0.668
9-7-4	4	0.951	0.497	0.605
9-7-3	3	0.953	0.486	0.520
9-7-2	2	0.952	0.478	0.458
9-6-5	5	0.869	0.553	0.704
9-6-4	4	0.883	0.497	0.656
9-6-3	3	0.886	0.486	0.578
9-6-2	2	0.887	0.475	0.503
9-5-4	4	0.817	0.495	0.707
9-5-3	3	0.817	0.485	0.645
9-5-2	2	0.818	0.472	0.571
9-4-3	3	0.754	0.485	0.616
9-4-2	2	0.755	0.476	0.556
9-3-2	2	0.744	0.476	0.524
8-7-6	6	0.927	0.643	0.690
8-7-5	5	0.941	0.587	0.649
8-7-4	4	0.957	0.525	0.589
8-7-3	3	0.973	0.472	0.525
8-7-2	2	0.973	0.464	0.456
8-6-5	5	0.892	0.587	0.688
8-6-4	4	0.907	0.522	0.639
8-6-3	3	0.923	0.468	0.582
8-6-2	2	0.925	0.463	0.502
8-5-4	4	0.841	0.520	0.692
8-5-3	3	0.859	0.467	0.647
8-5-2	2	0.860	0.462	0.569
8-4-3	3	0.786	0.468	0.621
8-4-2	2	0.787	0.463	0.556
8-3-2	2	0.724	0.463	0.531
7-6-5	5	0.899	0.618	0.668
7-6-4	4	0.915	0.559	0.622
7-6-3	3	0.933	0.498	0.565
7-6-2	2	0.947	0.449	0.505
7-5-4	4	0.868	0.557	0.675
7-5-3	3	0.885	0.493	0.630
7-5-2	2	0.902	0.447	0.574
7-4-3	3	0.814	0.495	0.603
7-4-2	2	0.831	0.449	0.561
7-3-2	2	0.758	0.448	0.533
6-5-4	4	0.881	0.591	0.658
6-5-3	3	0.897	0.536	0.611
6-5-2	2	0.916	0.477	0.557
6-4-3	3	0.841	0.537	0.585
6-4-2	2	0.860	0.479	0.543
6-3-2	2	0.793	0.480	0.518
5-4-3	3	0.866	0.582	0.562
5-4-2	2	0.884	0.528	0.519
5-3-2	2	0.829	0.530	0.497

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额定功率

下表显示了我对玩家可能玩的所有牌型的威力评级，假设他总是打出预期值最高的两张牌，如上表所示。假设某些情况永远不会出现，例如非同花色的K-6，此时弃牌是与K或6同花的。我将预期值提高了36.9，因此最佳牌型——AA弃掉非A牌——的预期值为100。当然，实际威力评级会略微取决于弃牌的等级，因此此处显示的数值是加权平均值。

下表显示了持有对子的牌力等级。各列根据以下情况划分：是否有点数惩罚（拿到三条）、花色惩罚（单张与对子中的一张牌同花，降低了组成同花的几率）以及完全没有惩罚牌。

下表显示了持有任意两张同花色牌组合且弃牌花色相同的牌时，牌力等级。换句话说，拿到三张同花牌。

下表显示了持有任意两张同花色牌组合且弃牌花色不同的牌时的威力等级。

下表显示了持有任意两张非同花牌组合的牌力等级，其中弃牌与其中一张牌相同，从而降低了同花的机会。

下表显示了持有任意两张非花色牌组合（其中弃牌的花色与两张牌都不同）的牌力等级。换句话说，拿到一张“彩虹牌”，也就是三种不同花色的牌。

方法论

本页中的预期值和策略是随机模拟的结果。为了确定策略，我首先开发了一个与五位拥有超能力的对手对战的基本策略，这些对手总是持有两张能够最大化最终牌局价值的牌。然后，我让所有五位对手都使用这个反超能力策略，并开发了一个新的最优策略来击败它。之后，我又重复了四次这个过程，直到该策略找到一个无法改进的纳什均衡。最终数据基于6,610,500,000轮模拟。

撰写者: Michael Shackleford

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简介

俄亥俄州 推荐的在线扑克室

假设

三张同点牌

发三张同点牌

无花色罚分的对子

发三张同点牌

带花色罚分的对子

发三张同点牌

三张同花单张

三张同花单张

三个不合适的单身人士

三个不合适的单身人士

三个单张牌 — 最低两个同花

三个单张牌 — 最低两个同花

三张单张牌 — 两张同花牌之外

三张单张牌 — 两张同花牌之外

三张单张牌 — 最高两张同花

三张单张牌 — 最高两张同花

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额定功率

方法论

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