Texas Holdem Winning Percentage Ranking – All Hands, Part II

Again, the blog is for understanding of Texas Holdem mathematically. If you expect to learn bluffing, the title tells you this is not the place for you. I also cannot teach you how to get lucky. However, if you are curious about which hand is better than which, read on.

The following table shows the winning percentage of each Texas Holdem hand. The winning percentage has an error of margin at around 0.15% meaning that any difference smaller than 0.15% should be considered as no difference.

A quick look shows winning percentage of pocket 7’s (e.g., 7 7 ) is between suited Ace-King (e.g., A K ) and off-suited Ace-King (e.g., A K ). So Now we know how good the hand Ace-King is. We will look more into the table in the next article.
(If you wonder how these numbers are obtained, see Experiment Design.)

3-2 Off 30.03%
4-2 Off 30.59%
6-2 Off 30.93%
5-2 Off 31.14%
7-2 Off 31.82%
4-3 Off 33.00%
6-3 Off 33.08%
5-3 Off 33.50%
7-3 Off 33.81%
3-2 Suited 33.84%
8-2 Off 34.38%
4-2 Suited 34.42%
6-2 Suited 34.72%
5-2 Suited 34.97%
8-3 Off 35.15%
6-4 Off 35.25%
7-2 Suited 35.65%
7-4 Off 35.70%
5-4 Off 35.76%
4-3 Suited 36.64%
6-3 Suited 36.70%
9-2 Off 36.81%
8-4 Off 36.95%
5-3 Suited 37.08%
7-3 Suited 37.43%
6-5 Off 37.56%
7-5 Off 37.85%
9-3 Off 37.95%
7-5 Off 37.96%
8-2 Suited 38.06%
9-4 Off 38.60%
8-3 Suited 38.70%
6-4 Suited 38.72%
8-5 Off 38.77%
7-4 Suited 39.16%
5-4 Suited 39.22%
10-2 Off 39.40%
7-6 Off 40.19%
9-5 Off 40.28%
9-2 Suited 40.28%
8-4 Suited 40.29%
10-3 Off 40.65%
8-6 Off 40.84%
6-5 Suited 40.88%
7-5 Suited 41.17%
9-3 Suited 41.30%
10-4 Off 41.61%
9-4 Suited 41.87%
J-2 Off 41.97%
8-5 Suited 42.06%
9-6 Off 42.14%
10-5 Off 42.22%
10-2 Suited 42.64%
8-7 Off 43.11%
J-3 Off 43.16%
7-6 Suited 43.30%
9-5 Suited 43.46%
10-3 Suited 43.79%
10-6 Off 43.86%
8-6 Suited 43.95%
9-7 Off 44.13%
J-4 Off 44.28%
10-4 Suited 44.72%
Q-2 Off 44.76%
9-6 Suited 45.11%
J-2 Suited 45.16%
J-5 Off 45.18%
10-5 Suited 45.34%
10-7 Off 45.68%
J-6 Off 45.80%
Q-3 Off 45.93%
8-7 Suited 46.09%
J-3 Suited 46.32%
9-8 Off 46.48%
10-6 Suited 46.84%
Q-4 Off 46.93%
9-7 Suited 47.06%
J-4 Suited 47.28%
J-7 Off 47.56%
Q-2 Suited 47.78%
K-2 Off 47.84%
10-8 Off 47.87%
Q-5 Off 47.99%
J-5 Suited 48.10%

10-7 Suited 48.51%
J-6 Suited 48.70%
Q-3 Suited 48.85%
K-3 Off 48.86%
Pair of 2’s 48.89%
Q-6 Off 48.89%
9-8 Suited 49.21%
J-8 Off 49.41%
Q-7 Off 49.56%
Q-4 Suited 49.75%
K-4 Off 49.85%
10-9 Off 50.22%
J-7 Suited 50.24%
10-8 Suited 50.58%
K-2 Suited 50.64%
Q-5 Suited 50.80%
K-5 Off 50.90%
Q-8 Off 51.46%
Q-6 Suited 51.55%
K-3 Suited 51.55%
J-9 Off 51.63%
K-6 Off 51.93%
J-8 Suited 52.07%
Q-7 Suited 52.28%
Pair of 3’s 52.45%
K-4 Suited 52.55%
A-2 Off 52.65%
10-9 Suited 52.76%
K-7 Off 52.89%
Q-9 Off 53.42%
K-5 Suited 53.52%
A-3 Off 53.53%
K-8 Off 53.83%
Q-8 Suited 53.96%
J-9 Suited 54.14%
A-4 Off 54.24%
J-10 Off 54.25%
K-6 Suited 54.45%
A-5 Off 55.05%
A-2 Suited 55.20%
A-6 Off 55.29%
K-7 Suited 55.30%
K-9 Off 55.71%
Q-9 Suited 55.79%
Q-10 Off 55.90%
Pair of 4’s 55.96%
A-3 Suited 56.09%
K-8 Suited 56.28%
J-10 Suited 56.59%
A-7 Off 56.60%
A-4 Suited 56.75%
Q-J Off 57.08%
A-5 Suited 57.47%
A-6 Suited 57.60%
A-8 Off 57.82%
K-10 Off 57.95%
K-9 Suited 58.00%
Q-10 Suited 58.10%
A-7 Suited 58.84%
A-9 Off 58.91%
K-J Off 59.07%
Pair of 5’s 59.20%
Q-J Suited 59.29%
A-8 Suited 60.04%
K-10 Suited 60.06%
K-Q Off 60.11%
A-10 Off 60.96%
A-9 Suited 61.01%
K-J Suited 61.18%
A-J Off 61.84%
Pair of 6’s 62.08%
K-Q Suited 62.20%
A-Q Off 62.78%
A-10 Suited 62.94%
A-K Off 63.67%
A-J Suited 63.80%
A-Q Suited 64.61%
Pair of 7’s 65.00%
A-K Suited 65.45%
Pair of 8’s 67.87%
Pair of 9’s 70.76%
Pair of 10’s 73.79%
Pair of J’s 76.30%
Pair of Q’s 78.72%
Pair of K’s 81.10%
Pair of A’s 83.99%

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