A few observations from the Pre-Flop charts...

1) Obviously there was a big assumption in this calculation: no one folds. That is, of course, ridiculous. In fact, if your opponent has T3 you'll probably never have to beat his hand to actually win (whereas if he has AA, good luck getting him to fold). So the fact that you usually don't have to beat the hands at the bottom of the list to win probably changes the rankings. However, this seemed like a good spot to begin, and hopefully I can learn something from it.

2) As expected, suited connectors are clearly more valuable in a ten-handed game than a two-handed game.

3) Pairs are clearly more valuable in a two-handed game than a ten-handed game.

4) I may be playing too loose in my home game. I usually play a five-handed game. If I want to be in one pot on average per round of play (this seems reasonable to me), I should be playing cards only from the top 20% of the list. So I should probably consider not playing K9, A3s, or A8 anymore. Well, since position is important I should probably play only top 5% early position and maybe top 30-35% late position. Playing K9 in the small blind with a bunch of callers behind me is not looking so smart right now however...

5) 50 million hands may not have been enough to get the exact ordering in this question. Notice that a pair of 2s are actually ranked above a pair of 3s in the ten-handed game. If you refer to the percentages, they have almost exactly the same probability of winning (to all the decimals I calculated). I'm sure if I let the program run longer, this ordering would flip.

6) I'm curious to see the other games I've left out (three-handed game, four-handed game, etc). I'm going to turn the computer back on & see if I can't get lists for all games from two-handed to twelve-handed (this may take a while!)

7) I think my next simulation will be to fold weak hands and see how much the ordering changes in this list.

Pre-Flop Rankings with Winning Percentages

This table was generated by dealing over 50 million games of Texas Hold 'Em Poker. No player folded, and the winner's hand was tabulated. The 169 hands were then sorted by winning percentage. It's the same as the previous table, except this one also includes the winning percentage. (Ties are not recorded.)

Please let me know if you have any questions regarding this table.

Table of Pre-Flop Hand Rankings Assuming All Players Show

	2 Handed Table	5 Handed Table	6 Handed Table	7 Handed Table	10 Handed Table
	Hand	Win %	Hand	Win %	Hand	Win %	Hand	Win %	Hand	Win %
Top 5% of Hands	AA	84.6%	AA	55.5%	AA	48.8%	AA	43.2%	AA	30.9%
KK	82.1%	KK	49.4%	KK	42.6%	KK	37.1%	KK	25.8%
QQ	80%	QQ	44.6%	QQ	37.8%	QQ	32.4%	QQ	21.9%
JJ	77.5%	JJ	40%	JJ	33.3%	JJ	28.2%	AKs	19.8%
TT	74.9%	TT	36%	AKs	30.2%	AKs	26.8%	JJ	18.9%
99	71.8%	AKs	34.5%	TT	29.6%	AQs	24.9%	AQs	18.3%
88	68.8%	AQs	32.7%	AQs	28.3%	TT	24.8%	KQs	17.7%
AKs	65.8%	99	32.3%	KQs	27.4%	KQs	24.2%	AJs	17.1%
77	65.6%	KQs	31.6%	AK	27%	AK	23.5%	TT	16.6%
AQs	65.1%	AK	31.4%	AJs	26.6%	AJs	23.4%	KJs	16.6%
AJs	64.5%	AJs	31.1%	99	26.3%	KJs	22.8%	AK	16.3%
						QJs	22.2%	QJs	16.1%
5% - 10% of Hands	AK	64.1%	KJs	30.1%	KJs	25.9%	99	22.1%	ATs	16.1%
ATs	63.5%	ATs	29.6%	QJs	25.3%	ATs	22%	KTs	15.7%
AQ	63.2%	AQ	29.4%	ATs	25.2%	KTs	21.6%	QTs	15.5%
AJ	62.6%	QJs	29.2%	AQ	24.9%	AQ	21.4%	JTs	15.3%
66	62.5%	88	29.1%	KTs	24.7%	QTs	21.2%	99	15.2%
KQs	62.2%	KTs	28.7%	QTs	24.1%	JTs	20.8%	AQ	14.6%
AT	61.5%	QTs	28.1%	KQ	23.8%	KQ	20.5%	A9s	14.2%
KJs	61.5%	KQ	27.9%	JTs	23.7%	88	20%	88	14.1%
A9s	61.4%	AJ	27.6%	88	23.7%	AJ	19.7%	KQ	14%
		JTs	27.4%	AJ	23.1%			K9s	13.8%
								T9s	13.7%
10% - 15% of Hands	KTs	60.9%	A9s	26.9%	A9s	22.6%	A9s	19.6%	J9s	13.6%
A8s	60.4%	KJ	26.7%	KJ	22.4%	KJ	19.2%	A8s	13.5%
KJ	59.4%	77	26.5%	K9s	21.9%	K9s	19.1%	Q9s	13.5%
A9	59.4%	AT	26%	QJ	21.7%	A8s	18.7%	77	13.3%
55	59.3%	K9s	25.8%	AT	21.5%	Q9s	18.6%	AJ	13.2%
A7s	59.3%	A8s	25.6%	A8s	21.5%	J9s	18.6%	A5s	13%
KQ	59.3%	QJ	25.6%	77	21.5%	QJ	18.5%	A7s	12.9%
K9s	59%	Q9s	25.3%	Q9s	21.5%	T9s	18.5%	KJ	12.9%
QJs	58.9%			J9s	21.3%	AT	18.3%	A4s	12.8%
				T9s	21.2%	77	18.2%	A3s	12.7%
								66	12.7%
15% - 20% of Hands	KT	58.7%	KT	25.1%	KT	21%	A7s	17.9%	QJ	12.5%
QTs	58.5%	J9s	25%	A7s	20.6%	KT	17.9%	A6s	12.5%
A8	58.3%	T9s	24.7%	QT	20.6%	A5s	17.7%	A2s	12.5%
A6s	58%	QT	24.6%	A5s	20.3%	QT	17.5%	T8s	12.5%
A5s	57.8%	A7s	24.6%	JT	20.2%	K8s	17.3%	K8s	12.4%
A7	57%	66	24.1%	K8s	20%	JT	17.3%	98s	12.3%
K8s	56.9%	A5s	24.1%	A4s	19.8%	A4s	17.3%	J8s	12.1%
A4s	56.9%	JT	24%	A6s	19.8%	A6s	17.2%	Q8s	12.1%
Q9s	56.9%	K8s	23.6%	66	19.7%	A3s	17.1%	55	12%
K9	56.5%	A6s	23.6%	A3s	19.5%	T8s	17%	AT	12%
		A4s	23.5%					44	11.9%
		Q8s	23.1%
20% - 25% of Hands	QJ	56.2%	A3s	23%	T8s	19.4%	66	16.9%	KT	11.9%
QT	56.2%	A9	23%	Q8s	19.4%	A2s	16.9%	K7s	11.9%
A3s	56.2%	T8s	22.9%	A2s	19.3%	Q8s	16.8%	22	11.9%
JTs	56%	K7s	22.8%	J8s	19.3%	J8s	16.8%	33	11.9%
44	55.9%	J8s	22.8%	K7s	19.1%	98s	16.7%	QT	11.8%
K7s	55.9%	A2s	22.7%	98s	19.1%	K7s	16.6%	JT	11.7%
A2s	55.7%	98s	22.4%	A9	18.7%	K6s	15.9%	87s	11.7%
A6	55.7%	K9	22.1%	K6s	18.4%	55	15.7%	K6s	11.5%
		55	22%	55	18.2%	87s	15.6%	97s	11.5%
		K6s	21.9%	K9	18%	A9	15.6%	K5s	11.3%
				K5s	17.9%	97s	15.5%	76s	11.2%
				87s	17.8%	K5s	15.5%
						T7s	15.3%
						Q7s	15.3%
25% - 30% of Hands	A5	55.4%	A8	21.8%	97s	17.7%	K4s	15.1%	T7s	11.1%
Q8s	54.8%	Q9	21.5%	Q7s	17.7%	J7s	15.1%	K4s	11.1%
K6s	54.7%	J9	21.4%	Q9	17.7%	K9	15.1%	K3s	11%
K8	54.5%	K5s	21.3%	J9	17.6%	44	15%	K2s	11%
A4	54.4%	T9	21.2%	T7s	17.6%	K3s	14.9%	86s	11%
Q9	54.3%	Q7s	21.1%	T9	17.6%	T9	14.9%	Q7s	10.9%
J9s	54.3%	97s	20.9%	A8	17.6%	Q9	14.8%	65s	10.9%
K5s	53.8%	T7s	20.9%	K4s	17.5%	J9	14.8%	J7s	10.9%
		J7s	20.8%	J7s	17.4%			54s	10.7%
		87s	20.8%					75s	10.6%
		K4s	20.7%					Q6s	10.5%
								96s	10.4%
								Q5s	10.3%
								64s	10.2%
								Q4s	10.2%
								Q3s	10.1%
30% - 35% of Hands	A3	53.7%	A7	20.6%	K3s	17.2%	K2s	14.8%	53s	10.1%
JT	53.4%	Q6s	20.4%	Q6s	17%	76s	14.7%	T9	10.1%
K7	53.3%	K3s	20.3%	44	17%	Q6s	14.7%	Q2s	10.1%
Q7s	52.8%	44	20.2%	K2s	16.9%	86s	14.6%	T6s	10%
K4s	52.8%	A5	20%	76s	16.7%	A8	14.5%	A9	9.9%
J8s	52.7%	K2s	20%	86s	16.6%	33	14.4%	85s	9.9%
33	52.7%	Q5s	19.8%	Q5s	16.5%	Q5s	14.3%	J6s	9.8%
A2	52.6%	K8	19.8%	A7	16.5%	65s	14.1%	J9	9.8%
T9s	52.2%	76s	19.5%	96s	16.1%	96s	14%	K9	9.7%
				A5	16.1%	22	14%
				Q4s	16.1%	Q4s	14%
				33	16.1%	75s	13.9%
						T6s	13.8%
						Q3s	13.8%
35% - 40% of Hands	K6	52.2%	A6	19.5%	T6s	15.9%	J6s	13.7%	J5s	9.6%
K3s	52.1%	86s	19.5%	K8	15.9%	54s	13.7%	43s	9.6%
Q8	52.1%	A4	19.4%	65s	15.9%	A7	13.7%	74s	9.6%
Q6s	51.9%	Q4s	19.2%	Q3s	15.9%	Q2s	13.6%	Q9	9.5%
J9	51.9%	Q8	19.2%	J6s	15.8%	A5	13.4%	J4s	9.5%
K2s	51.5%	T8	19.2%	75s	15.7%	J5s	13.4%	J3s	9.4%
K5	51.1%	96s	19.1%	T8	15.7%	64s	13.3%	95s	9.3%
Q5s	51%	J6s	19%	A4	15.7%	85s	13.3%	J2s	9.3%
J7s	50.8%					T8	13.2%	63s	9.3%
T8s	50.6%							A8	9.2%
								52s	9.1%
								T5s	9%
								42s	9%
40% - 45% of Hands	Q7	50.1%	J8	19%	A6	15.6%	K8	13.2%	T4s	8.9%
J8	50%	T6s	19%	Q2s	15.6%	J4s	13.1%	84s	8.9%
K4	50%	A3	18.8%	J5s	15.5%	A4	13%	T3s	8.9%
Q4s	49.9%	98	18.8%	Q8	15.5%	98	13%	T2s	8.8%
T9	49.3%	Q3s	18.8%	J8	15.5%	53s	13%	98	8.7%
Q3s	49.2%	33	18.8%	98	15.4%	A6	12.9%	T8	8.7%
K3	49.2%	K7	18.7%	54s	15.4%	J3s	12.9%	32s	8.6%
		J5s	18.5%	22	15.3%	Q8	12.8%	A5	8.6%
		65s	18.4%					73s	8.6%
		75s	18.3%
45% - 50% of Hands	22	49.2%	Q2s	18.3%	A3	15.3%	J8	12.8%	A7	8.5%
Q6	49.1%	A2	18.1%	85s	15.1%	A3	12.8%	94s	8.5%
T7s	49.1%	J4s	18%	J4s	15.1%	95s	12.7%	A4	8.4%
J6s	48.7%	K6	17.8%	K7	15%	J2s	12.7%	93s	8.4%
98s	48.6%	85s	17.8%	64s	14.9%	74s	12.6%	62s	8.3%
Q2s	48.5%	54s	17.7%	J3s	14.8%	T5s	12.5%	A3	8.3%
T8	48.1%	J3s	17.6%	A2	14.7%	43s	12.4%	92s	8.3%
Q5	48.1%	22	17.6%	95s	14.6%	K7	12.4%	J8	8.3%
J5s	47.9%	95s	17.4%	J2s	14.5%	T4s	12.3%
		T5s	17.4%	T5s	14.5%
		64s	17.4%	53s	14.4%
		J2s	17.2%
50% - 55% of Hands	K2	47.8%	87	17.2%	K6	14.3%	A2	12.3%	K8	8.2%
J7	47.7%	97	17.1%	74s	14.3%	T3s	12.1%	A6	8.1%
97s	47.2%	K5	17.1%	T4s	14.3%	63s	12.1%	87	8.1%
J4s	46.9%	Q7	17.1%	87	14.1%	84s	12%	Q8	8.1%
T6s	46.9%	T7	17%	T3s	14%	T2s	11.9%	83s	8%
Q4	46.8%	T4s	17%	97	13.9%	87	11.9%	82s	8%
J3s	46.1%			43s	13.9%	52s	11.8%	A2	7.9%
Q3	46.1%			84s	13.7%	K6	11.7%
				T7	13.7%	97	11.7%
				T2s	13.7%	42s	11.6%
55% - 60% of Hands	T7	46%	J7	16.8%	63s	13.6%	94s	11.6%	97	7.8%
J6	45.7%	74s	16.8%	Q7	13.6%	93s	11.4%	72s	7.8%
J2s	45.6%	53s	16.7%	K5	13.6%	73s	11.4%	76	7.7%
98	45.6%	T3s	16.6%	J7	13.5%	T7	11.4%	K7	7.6%
87s	45.4%	K4	16.5%	94s	13.4%	92s	11.2%	65	7.3%
96s	45.4%	Q6	16.3%	K4	13.2%	K5	11.2%	T7	7.3%
Q2	45.3%	T2s	16.2%	52s	13.2%	Q7	11.1%
T5s	45%	84s	16.2%	93s	13.1%	32s	11.1%
		94s	16%			J7	11.1%
60% - 65% of Hands	J5	44.9%	K3	16%	76	13%	76	11.1%	86	7.3%
97	44.3%	43s	15.9%	42s	13%	62s	10.9%	K6	7.2%
T4s	44.2%	63s	15.8%	73s	12.9%	83s	10.9%	54	7.2%
86s	44%	76	15.8%	Q6	12.9%	K4	10.8%	K5	6.9%
J4	43.8%	93s	15.7%	92s	12.8%	82s	10.7%	75	6.9%
T6	43.7%	86	15.6%	K3	12.8%	86	10.7%	J7	6.9%
T3s	43.4%	Q5	15.5%	86	12.7%	K3	10.6%
95s	43.3%	K2	15.5%	83s	12.5%
65% - 70% of Hands	J3	42.9%	92s	15.3%	K2	12.5%	Q6	10.5%	Q7	6.8%
T2s	42.8%	73s	15.3%	32s	12.5%	72s	10.4%	K4	6.8%
76s	42.7%	52s	15.2%	82s	12.3%	65	10.4%	K3	6.7%
87	42.4%	96	15.2%	62s	12.3%	K2	10.4%	64	6.7%
J2	42.2%	T6	15%	Q5	12.3%	96	10.1%	K2	6.6%
85s	42.2%	Q4	15%	96	12.2%	Q5	10%
96	42.2%	J6	14.9%	65	12.1%
T5	41.8%	83s	14.9%	T6	11.9%
94s	41.4%	42s	14.9%
70% - 75% of Hands	75s	41.1%	65	14.7%	Q4	11.9%	54	10%	96	6.6%
86	41%	82s	14.5%	72s	11.9%	75	9.9%	53	6.5%
T4	40.9%	Q3	14.5%	75	11.8%	T6	9.8%	Q6	6.4%
93s	40.9%	62s	14.4%	J6	11.8%	Q4	9.7%	85	6.1%
92s	40.1%	75	14.4%	54	11.6%	J6	9.6%	Q5	6.1%
T3	40.1%	J5	14.3%	Q3	11.5%	Q3	9.5%	T6	6.1%
84s	40%	32s	14.3%
65s	40%
75% - 80% of Hands	95	40%	Q2	14.1%	J5	11.3%	64	9.4%	43	6.1%
76	39.4%	72s	13.9%	Q2	11.2%	85	9.3%	Q4	6%
T2	39.3%	54	13.9%	85	11.1%	Q2	9.2%	Q3	5.9%
74s	39.2%	85	13.8%	64	11%	J5	9.1%	74	5.9%
85	38.7%	J4	13.8%	J4	10.8%	53	9%	Q2	5.8%
64s	38.7%	64	13.4%
83s	38.3%
54s	38.1%
82s	37.9%
80% - 85% of Hands	94	37.9%	95	13.4%	95	10.6%	J4	8.8%	J6	5.8%
75	37.9%	J3	13.3%	J3	10.5%	95	8.7%	63	5.7%
93	37.4%	T5	13.3%	53	10.5%	74	8.6%	J5	5.5%
73s	37.3%	T4	12.8%	T5	10.4%	J3	8.6%	52	5.5%
63s	37%	J2	12.8%	74	10.3%	43	8.5%	95	5.5%
53s	36.9%	74	12.7%	J2	10.1%	T5	8.4%	J4	5.4%
65	36.8%
92	36.6%
85% - 90% of Hands	84	36.5%	53	12.6%	T4	10%	J2	8.3%	42	5.4%
72s	35.7%	T3	12.4%	43	10%	T4	8.1%	J3	5.3%
74	35.6%	84	12.1%	T3	9.7%	63	8.1%	J2	5.2%
43s	35.4%	43	12%	84	9.6%	84	8%	84	5.1%
52s	35.2%	T2	11.9%	63	9.6%	T3	7.9%	T5	5.1%
64	35.2%
62s	35%
54	34.9%
90% - 95% of Hands	83	34.6%	94	11.8%	T2	9.4%	52	7.8%	32	5%
42s	34.1%	63	11.8%	94	9.2%	T2	7.6%	T4	4.9%
82	34.1%	93	11.4%	52	9.1%	42	7.6%	73	4.9%
73	33.6%	73	11.1%	93	8.9%	94	7.5%	T3	4.8%
53	33.3%	52	11.1%	73	8.9%	73	7.4%	T2	4.8%
63	33.1%	92	11%	42	8.8%	93	7.2%	62	4.6%
32s	33.1%
95% - 100% of Hands	43	32.1%	42	10.7%	92	8.6%	32	7.1%	94	4.5%
72	31.7%	83	10.7%	32	8.3%	92	7%	93	4.4%
52	31.3%	82	10.2%	83	8.3%	62	6.9%	92	4.4%
62	31%	62	10.2%	62	8.2%	83	6.8%	83	4.2%
42	30.4%	32	10.1%	82	8%	82	6.6%	82	4.1%
32	29.2%	72	9.7%	72	7.6%	72	6.2%	72	4%

Pre-Flop Rankings (no one folds)

This table was generated by dealing over 50 million games of Texas Hold 'Em Poker. No player folded, and the winner's hand was tabulated. The 169 hands were then sorted by winning percentage.

Note that there are 3 different "types" of starting hands: a pair, two different cards of the same suit, and two different cards of different suits. You are 1.5 times more likely to recieve a specific pair than two specific suited cards. You are twice as likely to recieve two specific unsuited cards as you are a specific pair. As a result, the "top 5% of hands" may contain a different number of actual hands depending on whether the top 5% consists of pairs or different suited cards.

Please let me know if you have any questions regarding this table.

Table of Pre-Flop Hand Rankings Assuming All Players Show

	2 Handed	5 Handed	6 Handed	7 Handed	10 Handed
Top 5% of Hands	AA	AA	AA	AA	AA
KK	KK	KK	KK	KK
QQ	QQ	QQ	QQ	QQ
JJ	JJ	JJ	JJ	AKs
TT	TT	AKs	AKs	JJ
99	AKs	TT	AQs	AQs
88	AQs	AQs	TT	KQs
AKs	99	KQs	KQs	AJs
77	KQs	AK	AK	TT
AQs	AK	AJs	AJs	KJs
AJs	AJs	99	KJs	AK
			QJs	QJs
5% - 10% of Hands	AK	KJs	KJs	99	ATs
ATs	ATs	QJs	ATs	KTs
AQ	AQ	ATs	KTs	QTs
AJ	QJs	AQ	AQ	JTs
66	88	KTs	QTs	99
KQs	KTs	QTs	JTs	AQ
AT	QTs	KQ	KQ	A9s
KJs	KQ	JTs	88	88
A9s	AJ	88	AJ	KQ
	JTs	AJ		K9s
				T9s
10% - 15% of Hands	KTs	A9s	A9s	A9s	J9s
A8s	KJ	KJ	KJ	A8s
KJ	77	K9s	K9s	Q9s
A9	AT	QJ	A8s	77
55	K9s	AT	Q9s	AJ
A7s	A8s	A8s	J9s	A5s
KQ	QJ	77	QJ	A7s
K9s	Q9s	Q9s	T9s	KJ
QJs		J9s	AT	A4s
		T9s	77	A3s
				66
15% - 20% of Hands	KT	KT	KT	A7s	QJ
QTs	J9s	A7s	KT	A6s
A8	T9s	QT	A5s	A2s
A6s	QT	A5s	QT	T8s
A5s	A7s	JT	K8s	K8s
A7	66	K8s	JT	98s
K8s	A5s	A4s	A4s	J8s
A4s	JT	A6s	A6s	Q8s
Q9s	K8s	66	A3s	55
K9	A6s	A3s	T8s	AT
	A4s			44
	Q8s
20% - 25% of Hands	QJ	A3s	T8s	66	KT
QT	A9	Q8s	A2s	K7s
A3s	T8s	A2s	Q8s	22
JTs	K7s	J8s	J8s	33
44	J8s	K7s	98s	QT
K7s	A2s	98s	K7s	JT
A2s	98s	A9	K6s	87s
A6	K9	K6s	55	K6s
	55	55	87s	97s
	K6s	K9	A9	K5s
		K5s	97s	76s
		87s	K5s
			T7s
			Q7s
25% - 30% of Hands	A5	A8	97s	K4s	T7s
Q8s	Q9	Q7s	J7s	K4s
K6s	J9	Q9	K9	K3s
K8	K5s	J9	44	K2s
A4	T9	T7s	K3s	86s
Q9	Q7s	T9	T9	Q7s
J9s	97s	A8	Q9	65s
K5s	T7s	K4s	J9	J7s
	J7s	J7s		54s
	87s			75s
	K4s			Q6s
				96s
				Q5s
				64s
				Q4s
				Q3s
30% - 35% of Hands	A3	A7	K3s	K2s	53s
JT	Q6s	Q6s	76s	T9
K7	K3s	44	Q6s	Q2s
Q7s	44	K2s	86s	T6s
K4s	A5	76s	A8	A9
J8s	K2s	86s	33	85s
33	Q5s	Q5s	Q5s	J6s
A2	K8	A7	65s	J9
T9s	76s	96s	96s	K9
		A5	22
		Q4s	Q4s
		33	75s
			T6s
			Q3s
35% - 40% of Hands	K6	A6	T6s	J6s	J5s
K3s	86s	K8	54s	43s
Q8	A4	65s	A7	74s
Q6s	Q4s	Q3s	Q2s	Q9
J9	Q8	J6s	A5	J4s
K2s	T8	75s	J5s	J3s
K5	96s	T8	64s	95s
Q5s	J6s	A4	85s	J2s
J7s			T8	63s
T8s				A8
				52s
				T5s
				42s
40% - 45% of Hands	Q7	J8	A6	K8	T4s
J8	T6s	Q2s	J4s	84s
K4	A3	J5s	A4	T3s
Q4s	98	Q8	98	T2s
T9	Q3s	J8	53s	98
Q3s	33	98	A6	T8
K3	K7	54s	J3s	32s
	J5s	22	Q8	A5
	65s			73s
	75s
45% - 50% of Hands	22	Q2s	A3	J8	A7
Q6	A2	85s	A3	94s
T7s	J4s	J4s	95s	A4
J6s	K6	K7	J2s	93s
98s	85s	64s	74s	62s
Q2s	54s	J3s	T5s	A3
T8	J3s	A2	43s	92s
Q5	22	95s	K7	J8
J5s	95s	J2s	T4s
	T5s	T5s
	64s	53s
	J2s
50% - 55% of Hands	K2	87	K6	A2	K8
J7	97	74s	T3s	A6
97s	K5	T4s	63s	87
J4s	Q7	87	84s	Q8
T6s	T7	T3s	T2s	83s
Q4	T4s	97	87	82s
J3s		43s	52s	A2
Q3		84s	K6
		T7	97
		T2s	42s
55% - 60% of Hands	T7	J7	63s	94s	97
J6	74s	Q7	93s	72s
J2s	53s	K5	73s	76
98	T3s	J7	T7	K7
87s	K4	94s	92s	65
96s	Q6	K4	K5	T7
Q2	T2s	52s	Q7
T5s	84s	93s	32s
	94s		J7
60% - 65% of Hands	J5	K3	76	76	86
97	43s	42s	62s	K6
T4s	63s	73s	83s	54
86s	76	Q6	K4	K5
J4	93s	92s	82s	75
T6	86	K3	86	J7
T3s	Q5	86	K3
95s	K2	83s
65% - 70% of Hands	J3	92s	K2	Q6	Q7
T2s	73s	32s	72s	K4
76s	52s	82s	65	K3
87	96	62s	K2	64
J2	T6	Q5	96	K2
85s	Q4	96	Q5
96	J6	65
T5	83s	T6
94s	42s
70% - 75% of Hands	75s	65	Q4	54	96
86	82s	72s	75	53
T4	Q3	75	T6	Q6
93s	62s	J6	Q4	85
92s	75	54	J6	Q5
T3	J5	Q3	Q3	T6
84s	32s
65s
75% - 80% of Hands	95	Q2	J5	64	43
76	72s	Q2	85	Q4
T2	54	85	Q2	Q3
74s	85	64	J5	74
85	J4	J4	53	Q2
64s	64
83s
54s
82s
80% - 85% of Hands	94	95	95	J4	J6
75	J3	J3	95	63
93	T5	53	74	J5
73s	T4	T5	J3	52
63s	J2	74	43	95
53s	74	J2	T5	J4
65
92
85% - 90% of Hands	84	53	T4	J2	42
72s	T3	43	T4	J3
74	84	T3	63	J2
43s	43	84	84	84
52s	T2	63	T3	T5
64
62s
54
90% - 95% of Hands	83	94	T2	52	32
42s	63	94	T2	T4
82	93	52	42	73
73	73	93	94	T3
53	52	73	73	T2
63	92	42	93	62
32s
95% - 100% of Hands	43	42	92	32	94
72	83	32	92	93
52	82	83	62	92
62	62	62	83	83
42	32	82	82	82
32	72	72	72	72

Why I'm Writing This Blog

Texas Hold 'Em Poker is essentially a wagering game with incomplete information. Information is incomplete in the simple sense that you do not know your opponents' cards, and in the more complicated sense that you often do not know what to do with the information at hand (i.e. is that a tell, or does he have a really itchy nose?)

For the novice, the meaning of the cards themselves is often unclear as well. In this variety of poker, there are 169 different 2-card starting hands with which you can begin. Anyone can tell you that AA is the best you can start with, and 72 unsuited is probably the worst. The worth of all those cards in between is less clear however.

A good player will tell you that their worth has as much - if not more - to do with your position at the table, the cards your opponents will play, the type of players your opponents are, and even the last hand that was dealt as it does the cards themselves. This, however, seems to be the same as saying "I don't like the question you are asking - ask the right one, and maybe I'll have an answer for you."

My goal in writing this blog is to try to build up an intuition for Texas Hold 'Em by running a series of Monte Carlo simulations. I believe that if I start with simple - even foolish - questions and gradually make them more complicated I will see directly the importance of position, opponents' card choice and the myriad other factors going into optimal wagering. I'm writing this as a blog with the hopes that other people who have similar interests in math and poker will contribute feedback on current simulations and ideas of what to simulate next.

My first question is: if the game simply involved dealing cards, and there was no opportunity for anyone to fold (ie no wagering), which starting hands would win more often?