Nice work!

In preparation for archiving all the stuff I did on this project, I made one final review of my logic and programs. I discovered two minor mistakes in my previous post.

First, for some bizarre reason, the program was incorrectly classifying a few full houses as quads (the bizarre reason was that I screwed up). Second, the program missed a very small number of nut hands due to extra-tricky blocking. (In case anyone is interested in an example, it was not able to figure out that 5d4c was the nuts on a 4d3d2d5s5h board. 5d4c blocks both possible straight flushes as well as quads, and therefore this particular top full house is the effective nuts.)

Anyway, I thought I should post the corrected tallies in the extremely unlikely event that this thread is ever looked at in the far distant future when discussing which NLHE starting hands make the most nuts becomes popular once more.

Rank	Starting Hand	Royal Flush Nut_Boards	Straight Flush Nut_Boards	Four of a Kind Nut_Boards	Full House Nut_Boards	Flush Nut_Boards	Straight Nut_Boards	Three of a Kind Nut_Boards	TOTAL NUT_BOARDS	Nut_Board Pct	Bachfan_Sim Pct
1	ATs	1,084	135	2,560	4,158	59,850	24,324	0	92,111	4.35%	4.34%
2	AJs	1,084	90	2,575	5,160	56,714	24,324	0	89,947	4.25%	4.24%
3	AQs	1,084	45	2,590	6,246	53,635	24,324	0	87,924	4.15%	4.14%
4	AKs	1,084	0	2,605	7,416	51,013	24,324	0	86,442	4.08%	4.08%
5	A9s	49	180	2,554	3,114	63,607	5,100	0	74,604	3.52%	3.53%
6	A6s	49	133	2,536	882	63,607	5,100	0	72,307	3.41%	3.41%
7	JTs	1,084	3,105	2,071	3,744	0	62,124	0	72,128	3.40%	3.40%
8	A8s	49	133	2,548	2,220	60,897	5,100	0	70,947	3.35%	3.34%
9	A7s	49	133	2,542	1,476	60,897	5,100	0	70,197	3.31%	3.31%
10	A5s	49	1,123	2,530	333	59,850	5,100	0	68,985	3.26%	3.26%
11	JTo	94	315	2,098	3,918	230	62,142	0	68,797	3.25%	3.25%
12	A4s	49	1,075	2,533	135	56,714	5,100	0	65,606	3.10%	3.10%
13	KQs	1,084	1,035	2,173	6,120	16,719	36,924	0	64,055	3.02%	3.02%
14	QJs	1,084	2,070	2,101	4,860	3,848	49,524	0	63,487	3.00%	3.00%
15	KJs	1,084	1,080	2,158	5,070	16,808	36,924	0	63,124	2.98%	2.98%
16	QTs	1,084	2,115	2,086	3,930	3,848	49,524	0	62,587	2.95%	2.95%
17	KTs	1,084	1,125	2,143	4,104	16,984	36,924	0	62,364	2.94%	2.95%
18	A3s	49	946	2,536	24	53,635	5,100	0	62,290	2.94%	2.94%
19	A2s	49	0	2,539	0	51,013	5,100	0	58,701	2.77%	2.78%
20	QJo	94	225	2,122	5,058	1,283	49,542	0	58,324	2.75%	2.76%
21	QTo	94	270	2,107	4,042	1,045	49,542	0	57,100	2.69%	2.70%
22	KQo	94	135	2,188	6,342	3,408	36,942	0	49,109	2.32%	2.32%
23	T9s	49	4,140	2,050	2,772	0	38,700	0	47,711	2.25%	2.25%
24	KJo	94	180	2,173	5,198	2,568	36,942	0	47,155	2.23%	2.23%
25	KTo	94	225	2,158	4,158	2,327	36,942	0	45,904	2.17%	2.16%
26	T9o	49	313	2,074	2,922	0	38,700	0	44,058	2.08%	2.08%
27	AKo	94	45	2,614	7,662	7,488	24,342	0	42,245	1.99%	1.99%
28	AA	94	0	16,624	0	10,028	5,100	9,300	41,146	1.94%	1.94%
29	AQo	94	90	2,599	6,390	6,164	24,342	0	39,679	1.87%	1.88%
30	AJo	94	135	2,584	5,222	5,317	24,342	0	37,694	1.78%	1.78%
31	KK	94	90	16,162	0	4,600	5,100	11,400	37,446	1.77%	1.77%
32	98s	4	3,013	2,038	1,944	0	30,000	0	36,999	1.75%	1.74%
33	ATo	94	180	2,569	4,158	5,070	24,342	0	36,413	1.72%	1.71%
34	87s	4	3,013	2,026	1,260	0	30,000	0	36,303	1.71%	1.71%
35	76s	4	3,013	2,014	720	0	30,000	0	35,751	1.69%	1.69%
36	65s	4	3,013	2,002	333	0	30,000	0	35,352	1.67%	1.67%
37	J9s	49	3,150	2,065	2,934	609	26,100	0	34,907	1.65%	1.65%
38	98o	4	266	2,062	2,070	0	30,000	0	34,402	1.62%	1.63%
39	87o	4	266	2,050	1,362	0	30,000	0	33,682	1.59%	1.59%
40	T8s	49	3,195	2,044	2,082	0	26,100	0	33,470	1.58%	1.58%
41	76o	4	266	2,038	798	0	30,000	0	33,106	1.56%	1.56%
42	65o	4	266	2,026	393	0	30,000	0	32,689	1.54%	1.54%
43	J9o	49	268	2,083	3,030	231	26,100	0	31,761	1.50%	1.50%
44	54s	4	3,007	1,999	135	0	26,400	0	31,545	1.49%	1.48%
45	T8o	49	313	2,062	2,162	0	26,100	0	30,686	1.45%	1.45%
46	K9s	49	1,170	2,137	3,222	17,771	5,100	0	29,449	1.39%	1.39%
47	K5s	49	178	2,113	513	20,946	5,100	0	28,899	1.36%	1.36%
48	54o	4	221	2,026	162	0	26,400	0	28,813	1.36%	1.36%
49	K4s	49	133	2,116	207	20,765	5,100	0	28,370	1.34%	1.34%
50	K3s	49	88	2,119	36	20,586	5,100	0	27,978	1.32%	1.32%
51	K2s	49	45	2,122	0	20,435	5,100	0	27,751	1.31%	1.31%
52	K8s	49	225	2,131	2,322	17,921	5,100	0	27,748	1.31%	1.31%
53	97s	4	3,058	2,032	1,374	0	21,000	0	27,468	1.30%	1.30%
54	86s	4	3,058	2,020	810	0	21,000	0	26,892	1.27%	1.26%
55	K7s	49	178	2,125	1,566	17,724	5,100	0	26,742	1.26%	1.26%
56	75s	4	3,058	2,008	405	0	21,000	0	26,475	1.25%	1.25%
57	64s	4	3,013	2,005	135	0	21,000	0	26,157	1.23%	1.23%
58	QQ	94	180	15,646	0	2,074	5,100	3,000	26,094	1.23%	1.23%
59	K6s	49	178	2,119	954	17,539	5,100	0	25,939	1.22%	1.23%
60	Q9s	49	2,160	2,080	3,084	4,463	14,100	0	25,936	1.22%	1.23%
61	97o	4	266	2,050	1,438	0	21,000	0	24,758	1.17%	1.17%
62	86o	4	266	2,038	858	0	21,000	0	24,166	1.14%	1.15%
63	75o	4	266	2,026	441	0	21,000	0	23,737	1.12%	1.12%
64	64o	4	221	2,023	159	0	21,000	0	23,407	1.10%	1.10%
65	53s	4	3,007	2,002	24	0	17,400	0	22,437	1.06%	1.06%
66	J8s	49	2,205	2,059	2,208	609	14,100	0	21,230	1.00%	1.00%
67	JJ	94	270	15,180	0	460	5,100	0	21,104	1.00%	0.99%
68	Q9o	49	223	2,092	3,130	1,046	14,100	0	20,640	0.97%	0.97%
69	TT	94	360	14,720	0	0	5,100	0	20,274	0.96%	0.96%
70	T7s	49	2,250	2,038	1,476	0	14,100	0	19,913	0.94%	0.94%
71	53o	4	176	2,023	28	0	17,400	0	19,631	0.93%	0.93%
72	J8o	49	268	2,071	2,246	231	14,100	0	18,965	0.90%	0.90%
73	T7o	49	313	2,050	1,506	0	14,100	0	18,018	0.85%	0.85%
74	43s	4	1,972	2,005	24	0	13,800	0	17,805	0.84%	0.84%
75	A9o	49	133	2,554	3,114	5,061	5,100	0	16,011	0.76%	0.75%
76	43o	4	131	2,026	28	0	13,800	0	15,989	0.75%	0.75%
77	99	4	266	14,456	0	0	600	0	15,326	0.72%	0.72%
78	Q8s	49	1,214	2,074	2,322	4,468	5,100	0	15,227	0.72%	0.72%
79	A8o	49	133	2,548	2,218	5,066	5,100	0	15,114	0.71%	0.71%
80	88	4	266	14,194	0	0	600	0	15,064	0.71%	0.71%
81	77	4	266	13,926	0	0	600	0	14,796	0.70%	0.70%
82	96s	4	2,200	2,026	888	0	9,600	0	14,718	0.69%	0.69%
83	66	4	266	13,652	0	0	600	0	14,522	0.69%	0.69%
84	A7o	49	133	2,542	1,470	5,066	5,100	0	14,360	0.68%	0.68%
85	85s	4	2,200	2,014	465	0	9,600	0	14,283	0.67%	0.68%
86	55	4	266	13,398	0	0	600	0	14,268	0.67%	0.67%
87	44	4	176	13,358	0	0	600	0	14,138	0.67%	0.67%
88	33	4	86	13,312	0	0	600	0	14,002	0.66%	0.66%
89	74s	4	2,155	2,011	177	0	9,600	0	13,947	0.66%	0.66%
90	22	4	0	13,262	0	0	600	0	13,866	0.65%	0.66%
91	A6o	49	133	2,536	870	5,061	5,100	0	13,749	0.65%	0.65%
92	63s	4	2,110	2,008	24	0	9,600	0	13,746	0.65%	0.65%
93	Q7s	49	270	2,068	1,566	4,471	5,100	0	13,524	0.64%	0.64%
94	A5o	49	133	2,557	375	5,070	5,100	0	13,284	0.63%	0.63%
95	A4o	49	88	2,548	153	5,079	5,100	0	13,017	0.61%	0.62%
96	K9o	49	178	2,143	3,222	2,324	5,100	0	13,016	0.61%	0.61%
97	A3o	49	43	2,545	28	5,089	5,100	0	12,854	0.61%	0.60%
98	Q6s	49	223	2,062	954	4,464	5,100	0	12,852	0.61%	0.60%
99	96o	4	266	2,038	910	0	9,600	0	12,818	0.60%	0.60%
100	A2o	49	0	2,548	0	5,101	5,100	0	12,798	0.60%	0.61%
101	Q5s	49	223	2,056	513	4,653	5,100	0	12,594	0.59%	0.59%
102	85o	4	266	2,026	481	0	9,600	0	12,377	0.58%	0.58%
103	Q4s	49	178	2,059	207	4,647	5,100	0	12,240	0.58%	0.58%
104	K8o	49	178	2,131	2,322	2,322	5,100	0	12,102	0.57%	0.57%
105	74o	4	221	2,023	187	0	9,600	0	12,035	0.57%	0.57%
106	Q3s	49	133	2,062	36	4,641	5,100	0	12,021	0.57%	0.57%
107	Q2s	49	90	2,065	0	4,636	5,100	0	11,940	0.56%	0.56%
108	63o	4	176	2,020	28	0	9,600	0	11,828	0.56%	0.56%
109	K7o	49	178	2,125	1,566	2,324	5,100	0	11,342	0.54%	0.53%
110	Q8o	49	223	2,080	2,322	1,046	5,100	0	10,820	0.51%	0.52%
111	K6o	49	178	2,119	954	2,327	5,100	0	10,727	0.51%	0.51%
112	J7s	49	1,259	2,053	1,566	609	5,100	0	10,636	0.50%	0.50%
113	K5o	49	178	2,113	513	2,315	5,100	0	10,268	0.48%	0.49%
114	52s	4	2,104	2,005	0	0	6,000	0	10,113	0.48%	0.47%
115	Q7o	49	223	2,068	1,566	1,046	5,100	0	10,052	0.47%	0.48%
116	K4o	49	133	2,116	207	2,318	5,100	0	9,923	0.47%	0.47%
117	K3o	49	88	2,119	36	2,320	5,100	0	9,712	0.46%	0.46%
118	K2o	49	45	2,122	0	2,321	5,100	0	9,637	0.45%	0.45%
119	T6s	49	1,304	2,032	954	0	5,100	0	9,439	0.45%	0.45%
120	Q6o	49	223	2,062	954	1,046	5,100	0	9,434	0.45%	0.44%
121	42s	4	1,972	2,008	0	0	5,400	0	9,384	0.44%	0.44%
122	J7o	49	268	2,059	1,566	231	5,100	0	9,273	0.44%	0.44%
123	J6s	49	315	2,047	954	609	5,100	0	9,074	0.43%	0.43%
124	Q5o	49	223	2,056	513	1,043	5,100	0	8,984	0.42%	0.42%
125	J6o	49	268	2,047	954	231	5,100	0	8,649	0.41%	0.41%
126	Q4o	49	178	2,059	207	1,043	5,100	0	8,636	0.41%	0.41%
127	J5s	49	268	2,041	513	615	5,100	0	8,586	0.41%	0.40%
128	T6o	49	313	2,038	954	0	5,100	0	8,454	0.40%	0.40%
129	Q3o	49	133	2,062	36	1,043	5,100	0	8,423	0.40%	0.40%
130	Q2o	49	90	2,065	0	1,043	5,100	0	8,347	0.39%	0.39%
131	J4s	49	223	2,044	207	615	5,100	0	8,238	0.39%	0.39%
132	J5o	49	268	2,041	513	231	5,100	0	8,202	0.39%	0.39%
133	52o	4	133	2,020	0	0	6,000	0	8,157	0.38%	0.38%
134	T5s	49	360	2,026	513	0	5,100	0	8,048	0.38%	0.38%
135	J3s	49	178	2,047	36	615	5,100	0	8,025	0.38%	0.38%
136	T5o	49	313	2,026	513	0	5,100	0	8,001	0.38%	0.38%
137	J2s	49	135	2,050	0	615	5,100	0	7,949	0.38%	0.37%
138	J4o	49	223	2,044	207	231	5,100	0	7,854	0.37%	0.37%
139	T4s	49	268	2,029	207	0	5,100	0	7,653	0.36%	0.36%
140	T4o	49	268	2,029	207	0	5,100	0	7,653	0.36%	0.36%
141	J3o	49	178	2,047	36	231	5,100	0	7,641	0.36%	0.36%
142	J2o	49	135	2,050	0	231	5,100	0	7,565	0.36%	0.35%
143	42o	4	88	2,023	0	0	5,400	0	7,515	0.35%	0.35%
144	T3s	49	223	2,032	36	0	5,100	0	7,440	0.35%	0.35%
145	T3o	49	223	2,032	36	0	5,100	0	7,440	0.35%	0.35%
146	T2s	49	180	2,035	0	0	5,100	0	7,364	0.35%	0.35%
147	T2o	49	180	2,035	0	0	5,100	0	7,364	0.35%	0.35%
148	32s	4	940	2,011	0	0	3,000	0	5,955	0.28%	0.28%
149	32o	4	43	2,026	0	0	3,000	0	5,073	0.24%	0.24%
150	95s	4	1,258	2,020	513	0	600	0	4,395	0.21%	0.21%
151	84s	4	1,213	2,017	207	0	600	0	4,041	0.19%	0.19%
152	73s	4	1,168	2,014	36	0	600	0	3,822	0.18%	0.18%
153	62s	4	1,123	2,011	0	0	600	0	3,738	0.18%	0.18%
154	95o	4	266	2,026	513	0	600	0	3,409	0.16%	0.16%
155	94s	4	268	2,023	207	0	600	0	3,102	0.15%	0.15%
156	94o	4	221	2,023	207	0	600	0	3,055	0.14%	0.14%
157	84o	4	221	2,023	207	0	600	0	3,055	0.14%	0.14%
158	83s	4	223	2,020	36	0	600	0	2,883	0.14%	0.14%
159	93s	4	176	2,026	36	0	600	0	2,842	0.13%	0.13%
160	93o	4	176	2,026	36	0	600	0	2,842	0.13%	0.13%
161	83o	4	176	2,020	36	0	600	0	2,836	0.13%	0.13%
162	73o	4	176	2,020	36	0	600	0	2,836	0.13%	0.14%
163	72s	4	178	2,017	0	0	600	0	2,799	0.13%	0.14%
164	92s	4	133	2,029	0	0	600	0	2,766	0.13%	0.13%
165	92o	4	133	2,029	0	0	600	0	2,766	0.13%	0.13%
166	82s	4	133	2,023	0	0	600	0	2,760	0.13%	0.13%
167	82o	4	133	2,023	0	0	600	0	2,760	0.13%	0.13%
168	72o	4	133	2,017	0	0	600	0	2,754	0.13%	0.13%
169	62o	4	133	2,017	0	0	600	0	2,754	0.13%	0.13%