最近更新 Oct 09, 2025

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鳳梨

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簡介

本頁旨在展示如何在撲克遊戲「菠蘿」中做出初始手牌決定。對於不了解的人來說，「鳳梨」的玩法類似於德州撲克，不同之處在於玩家會拿到三張底牌，並且必須在首輪下注後、翻牌前棄掉一張。請勿將「鳳梨」與「瘋狂鳳梨」或「懶惰鳳梨」混為一談。「瘋狂鳳梨」的棄牌決定在轉牌前做出，而「懶惰鳳梨」的棄牌決定則在整局遊戲中保留所有三張牌。

本頁僅涵蓋棄牌決策以及每手起手牌的強度。您可以透過本頁面查看預期價值統計資料。預期價值是指玩家基於一個單位的底注可以預期獲得的回報。例如，預期回報 1.000 表示玩家可以保持收支平衡。

你會在本頁經常看到一個術語“懲罰”，這個詞是我在玩視頻撲克時學到的。它指的是丟棄一張可能有用的牌。具體來說，點數懲罰是指你拿到三條後丟棄的牌。在鳳梨牌局中，這手牌會讓你心碎，因為你必須丟棄其中一張牌。這不僅會降低你的牌值，還會減少牌堆中一張可以用來提升對子的牌。花色懲罰較常見。如果你丟棄的牌與你保留的其中一張牌花色相同，那麼完成同花的機會就會降低。理想的情況是兩種懲罰都不存在。

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假設

本頁假設六人遊戲，無人棄牌或加註。每位玩家下註一個單位，最終牌力最佳的玩家獲勝。

三張同點牌

發三張同點牌的策略很簡單－保留任兩張牌。

下表顯示了在發到三張同點牌時持有任兩張牌的預期回報。

發三張同點牌

秩	預期的返回
一個	2.425
鉀	1.925
問	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

無花色罰分的對子

任何一對的策略都很簡單——持有該一對。

下表顯示了當拿到一對和一張單張牌時，兩種可行玩法的預期回報，其中單張牌與對子中的任意一張牌都不匹配。你可以選擇保留對子，或保留單張牌和對子中的任一張牌。如你所見，表格顯示，持有對子總是具有更高的預期回報。

發三張同點牌

秩	單例模式	一對	二單例
一個	鉀	2.708	1.289
一個	問	2.719	1.159
一個	J	2.729	1.059
一個	10	2.740	0.985
一個	9	2.739	0.827
一個	8	2.734	0.785
一個	7	2.736	0.753
一個	6	2.737	0.722
一個	5	2.734	0.777
一個	4	2.719	0.753
一個	3	2.701	0.728
一個	2	2.674	0.694
鉀	一個	2.392	1.276
鉀	問	2.224	1.082
鉀	J	2.237	0.999
鉀	10	2.245	0.936
鉀	9	2.246	0.784
鉀	8	2.243	0.683
鉀	7	2.245	0.661
鉀	6	2.247	0.641
鉀	5	2.245	0.622
鉀	4	2.234	0.603
鉀	3	2.219	0.582
鉀	2	2.201	0.562
問	一個	1.999	1.147
問	鉀	1.994	1.080
問	J	1.865	0.975
問	10	1.880	0.920
問	9	1.876	0.773
問	8	1.877	0.676
問	7	1.879	0.592
問	6	1.881	0.580
問	5	1.880	0.564
問	4	1.873	0.543
問	3	1.859	0.525
問	2	1.847	0.509
J	一個	1.702	1.052
J	鉀	1.696	0.998
J	問	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	一個	1,466	0.980
10	鉀	1,465	0.934
10	問	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	一個	1,284	0.815
9	鉀	1,288	0.767
9	問	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	一個	1,159	0.774
8	鉀	1,159	0.669
8	問	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	一個	1,059	0.739
7	鉀	1,063	0.649
7	問	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	一個	0.989	0.713
6	鉀	0.994	0.629
6	問	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	一個	0.931	0.775
5	鉀	0.935	0.613
5	問	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	一個	0.882	0.749
4	鉀	0.887	0.590
4	問	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	一個	0.843	0.723
3	鉀	0.848	0.568
3	問	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	一個	0.816	0.683
2	鉀	0.818	0.544
2	問	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

帶花色罰分的對子

任何一對的策略都很簡單——持有該一對。

下表顯示了當拿到一對和一張單張牌時，三種可能玩法的預期回報，其中單張牌與對子中的一張牌同花。同花牌是不利的，因為它降低了持有對子時形成同花的機會。如你所見，表格顯示，持有對子總是具有最高的預期回報。

發三張同點牌

秩	單例模式	一對	適合單例	不適合單例
一個	鉀	2.678	1.496	1.272
一個	問	2.690	1.379	1.143
一個	J	2.704	1.287	1.045
一個	10	2.714	1.224	0.975
一個	9	2.712	1.080	0.820
一個	8	2.707	1.042	0.777
一個	7	2.708	1.013	0.745
一個	6	2.710	0.986	0.713
一個	5	2.708	1.037	0.768
一個	4	2.691	1.014	0.744
一個	3	2.672	0.995	0.722
一個	2	2.650	0.962	0.687
鉀	一個	2.378	1.485	1.250
鉀	問	2.205	1.300	1.072
鉀	J	2.214	1.221	0.986
鉀	10	2.222	1.168	0.926
鉀	9	2.223	1.026	0.773
鉀	8	2.224	0.936	0.675
鉀	7	2.224	0.915	0.652
鉀	6	2.226	0.899	0.635
鉀	5	2.226	0.884	0.618
鉀	4	2.210	0.863	0.594
鉀	3	2.198	0.846	0.576
鉀	2	2.181	0.828	0.557
問	一個	1.984	1.367	1.119
問	鉀	1.980	1.295	1.057
問	J	1.849	1.192	0.961
問	10	1.858	1.145	0.911
問	9	1.856	1.007	0.762
問	8	1.858	0.921	0.668
問	7	1.865	0.848	0.587
問	6	1.858	0.834	0.573
問	5	1.860	0.822	0.558
問	4	1.854	0.803	0.539
問	3	1.841	0.787	0.521
問	2	1.828	0.769	0.503
J	一個	1.686	1.280	1.024
我	鉀	1,687	1,221	0.975
我	問	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	鉀	1,454	1,169	0.917
10	問	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	鉀	1,275	1.011	0.746
9	問	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	鉀	1,149	0.923	0.652
8	問	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	一個	1,053	1,000	0.715
7	鉀	1,054	0.904	0.627
7	問	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	一個	0.984	0.975	0.688
6	鉀	0.985	0.888	0.610
6	問	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	一個	0.924	1,037	0.752
5	鉀	0.930	0.876	0.596
5	問	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	一個	0.876	1,011	0.726
4	鉀	0.880	0.856	0.573
4	問	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	一個	0.839	0.989	0.699
3	鉀	0.840	0.834	0.549
3	問	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	一個	0.811	0.954	0.660
2	鉀	0.813	0.813	0.526
2	問	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

三張同花單張

下表顯示了拿到三張同花單張牌時三種可能打法的預期收益。大多數情況下，最佳打法是棄掉最小的那張牌。但是，如果所有牌都是小牌，且最小的兩張牌點數接近，而最大的牌點數不同，那麼有時你可以打出最小的兩張牌來湊成順子。

三張同花單張

手	丟棄	預期的返回中高級	預期的返回低和高	預期的返回低和中
AKQ	問	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
安琪兒	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
康慶傑	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	鉀	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	鉀	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	問	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	問	0.837	0.833	0.913
Q-7-5	問	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	問	0.821	0.813	0.883
Q-6-4	問	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	問	0.808	0.794	0.873
Q-5-3	問	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
殲-10-9	9	1.094	0.979	1.021
殲-10-8	8	1.112	0.911	0.955
殲-10-7	7	1.122	0.839	0.886
殲-10-6	6	1.140	0.792	0.829
殲-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

三個不合適的單身人士

下表顯示了拿到三張非同花單張牌時三種可能打法的預期收益。大多數情況下，最佳打法是棄掉最低的那張牌。但是，如果所有牌都是低牌，且最低的兩張牌點數接近，而最高的牌點數不同，那麼有時你可以選擇出最低的兩張牌來湊成順子。

三個不合適的單身人士

手	丟棄	預期的返回中高級	預期的返回低和高	預期的返回低和中
AKQ	問	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
安琪兒	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
康慶傑	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	鉀	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	鉀	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	鉀	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	問	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	問	0.660	0.654	0.741
Q-7-5	問	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	問	0.644	0.636	0.712
Q-6-4	問	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	問	0.628	0.616	0.700
Q-5-3	問	0.628	0.598	0.645
Q-5-2	2	0.629	0.584	0.573
Q-4-3	問	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
殲-10-9	9	0.943	0.815	0.857
殲-10-8	8	0.958	0.734	0.778
殲-10-7	7	0.975	0.667	0.710
殲-10-6	6	0.992	0.610	0.648
殲-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

三個單張牌 — 最低兩張同花

下表顯示了當發到三張單張牌且最小兩張為同花色時，三種可能玩法的預期收益。 60.5% 的情況下，最佳玩法是保留同花色的牌並丟棄最大的牌。其餘情況下，最佳玩法是丟棄最小的牌。下表顯示了從三張牌中選擇兩張的所有三種玩法的預期收益。

三個單張牌 — 最低兩張同花

手	丟棄	預期的返回中高級	預期的返回低和高	預期的返回低和中
AKQ	一個	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
安琪兒	一個	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	一個	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	一個	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	一個	0.904	0.875	1.034
A-9-7	一個	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	一個	0.855	0.835	0.987
A-8-6	一個	0.856	0.805	0.939
A-8-5	一個	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	一個	0.820	0.802	0.958
A-7-5	一個	0.821	0.849	0.908
A-7-4	一個	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	一個	0.791	0.853	0.937
A-6-4	一個	0.789	0.827	0.880
A-6-3	一個	0.789	0.807	0.814
A-6-2	2	0.790	0.779	0.742
A-5-4	一個	0.824	0.810	0.906
A-5-3	一個	0.822	0.787	0.849
A-5-2	2	0.823	0.760	0.784
A-4-3	一個	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
康慶傑	鉀	1.148	1.082	1.300
KQ-10	鉀	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	鉀	1.054	1.005	1.223
空警-9	鉀	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	鉀	0.996	0.861	1.116
K-10-8	鉀	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	鉀	0.846	0.769	1.038
K-9-7	鉀	0.849	0.744	0.976
K-9-6	鉀	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	鉀	0.751	0.737	0.994
K-8-6	鉀	0.752	0.716	0.943
K-8-5	鉀	0.756	0.698	0.877
K-8-4	鉀	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	鉀	0.725	0.717	0.961
K-7-5	鉀	0.727	0.699	0.911
K-7-4	鉀	0.727	0.680	0.840
K-7-3	鉀	0.728	0.662	0.768
K-7-2	2	0.727	0.645	0.709
K-6-5	鉀	0.704	0.695	0.940
K-6-4	鉀	0.703	0.676	0.883
K-6-3	鉀	0.703	0.659	0.815
K-6-2	鉀	0.703	0.641	0.745
K-5-4	鉀	0.683	0.671	0.925
K-5-3	鉀	0.684	0.653	0.868
K-5-2	鉀	0.683	0.636	0.801
K-4-3	鉀	0.664	0.651	0.837
K-4-2	鉀	0.663	0.635	0.782
K-3-2	鉀	0.645	0.633	0.750
QJ-10	問	0.994	0.956	1.205
QJ-9	問	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	問	0.953	0.822	1.101
Q-10-8	問	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	問	0.812	0.737	1.027
Q-9-7	問	0.826	0.669	0.980
Q-9-6	問	0.826	0.655	0.906
Q-9-5	問	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	問	0.729	0.665	0.999
Q-8-6	問	0.732	0.651	0.943
Q-8-5	問	0.732	0.637	0.873
Q-8-4	問	0.733	0.620	0.803
Q-8-3	問	0.734	0.605	0.741
Q-8-2	問	0.730	0.586	0.731
Q-7-6	問	0.651	0.647	0.968
Q-7-5	問	0.652	0.633	0.917
Q-7-4	問	0.656	0.618	0.846
Q-7-3	問	0.657	0.600	0.772
Q-7-2	問	0.655	0.587	0.713
Q-6-5	問	0.639	0.633	0.938
Q-6-4	問	0.638	0.615	0.882
Q-6-3	問	0.640	0.599	0.816
Q-6-2	問	0.641	0.585	0.747
Q-5-4	問	0.624	0.612	0.927
Q-5-3	問	0.622	0.595	0.870
Q-5-2	問	0.624	0.582	0.804
Q-4-3	問	0.605	0.594	0.838
Q-4-2	問	0.605	0.580	0.783
Q-3-2	問	0.590	0.579	0.751
殲-10-9	J	0.930	0.808	1.084
殲-10-8	J	0.946	0.729	1.014
殲-10-7	7	0.964	0.660	0.951
殲-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

三張單張牌 — 兩張同花牌之外

下表顯示了當發到三張單張牌時，最低和最高兩張牌為同花色時，所有三種可能玩法的預期收益。 74.1% 的情況下，最佳玩法是保留同花色的牌並丟棄中間的牌。下表顯示了從三張牌中選擇兩張的所有三種玩法的預期收益。

三張單張牌 — 兩張同花牌之外

手	丟棄	預期的返回中高級	預期的返回低和高	預期的返回低和中
AKQ	鉀	1.400	1.533	1.256
AKJ	鉀	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
安琪兒	問	1.244	1.416	1.088
AQ-10	問	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
康慶傑	問	1.144	1.318	1.073
KQ-10	問	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
殲-10-9	10	0.930	1.051	0.850
殲-10-8	10	0.946	0.977	0.774
殲-10-7	7	0.964	0.915	0.707
殲-10-6	6	0.979	0.863	0.643
殲-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

三張單張牌 — 最高兩張同花

下表顯示了當發到三張單張牌且最小兩張為同花色時，所有三種可能玩法的預期回報。 100% 的情況下，最佳玩法是保留同花色的牌並丟棄最小的牌。其餘情況下，丟棄最小的牌。下表顯示了從三張牌中選擇兩張的所有三種玩法的預期回報。

三張單張牌 — 最高兩張同花

手	丟棄	預期的返回中高級	預期的返回低和高	預期的返回低和中
AKQ	問	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
安琪兒	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
康慶傑	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
殲-10-9	9	1.165	0.803	0.850
殲-10-8	8	1.183	0.723	0.773
殲-10-7	7	1.197	0.654	0.704
殲-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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額定功率

下表顯示了我對玩家可能玩的所有牌型的威力評級，假設他總是打出預期值最高的兩張牌，如上表所示。假設某些情況永遠不會出現，例如非同花色的K-6，此時棄牌是與K或6同花的。我將預期值提高了36.9，因此最佳牌型——AA棄掉非A牌——的威力評級為100。當然，實際威力評級會略微取決於棄牌的等級，因此此處顯示的數值是加權平均值。

下表顯示了持有對子的牌力等級。各列根據以下情況劃分：是否有點數懲罰（拿到三條）、花色懲罰（單張與對子中的一張牌同花，降低了組成同花的幾率）以及完全沒有懲罰牌。

下表顯示了持有任兩張同花色牌組合且棄牌花色相同的牌時，牌力等級。換句話說，拿到三張同花牌。

下表顯示了持有任兩張同花色牌組合且棄牌花色不同的牌時的威力等級。

下表顯示了持有任兩張非同花牌組合的威力等級，其中棄牌與其中一張牌相同，從而降低了同花的機會。

下表顯示了持有任兩張非花色牌組合（其中棄牌的花色與兩張牌都不同）的牌力等級。換句話說，拿到一張“彩虹牌”，也就是三種不同花色的牌。

方法論

本頁中的預期值和策略是隨機模擬的結果。為了確定該策略，我首先開發了一個與五位擁有超能力的對手對戰的基本策略，這些對手總是持有兩張能夠最大化最終牌局價值的牌。然後，我讓所有五位對手都使用這種反超能力的策略，並開發了一個新的最優策略來擊敗它。之後，我又重複了四次這個過程，直到該策略找到一個無法改進的納許均衡。最終數據基於6,610,500,000輪模擬。

撰寫者: Michael Shackleford