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Texas Holdem Poker 3

4/5/2022
Texas Holdem Poker 3 Rating: 3,5/5 7601 votes

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Introduction

TexasTexas Holdem Poker 3

The following table ranks the top hands in a 3-player game. This table assumes that all players stay in until the end.

Explanation of column headings:
  • Cards: Initial two-card hand.
  • Probability of win: Probability that this hand will win, or tie for the win.
  • Average win: This is how much the player will win on average, including his own bets, if the player does win. This is less than 3 because sometimes the player will have to split the pot.
  • Expected value: This is how many units the player can expected to win (positive) or lose (negative) with this hand. For example if the player had a pair of aces and contibuted $1 to the pot then the player could expect to have a net win of $1.20.
  • Probability: Probability of getting this hand to begin with.
  • Additive probability: Probability of getting this hand or any stronger hand to begin with.

Texas Hold'em Poker 3d 4shared

Initial Hold'em Hands in Rank Order for 3-Player Game

CardsProbability of WinAverage WinExpected ValueProbabilityAdditive Probability
Pair of A's73.78%2.991.20340.45%0.45%
Pair of K's69.21%2.991.0660.45%0.9%
Pair of Q's65.29%2.980.94750.45%1.36%
Pair of J's61.57%2.980.8350.45%1.81%
Pair of T's58.02%2.980.72720.45%2.26%
Pair of 9's54.08%2.970.60840.45%2.71%
A/K suited51.77%2.940.52210.3%3.02%
Pair of 8's50.46%2.970.49860.45%3.47%
A/Q suited50.56%2.930.48240.3%3.77%
A/K unsuited49.28%2.930.44620.9%4.68%
A/J suited49.49%2.920.44610.3%4.98%
K/Q suited48.28%2.930.41280.3%5.28%
A/T suited48.5%2.910.41210.3%5.58%
A/Q unsuited48.01%2.930.40450.9%6.49%
Pair of 7's47.02%2.970.39450.45%6.94%
K/J suited47.22%2.920.37720.3%7.24%
A/J unsuited46.84%2.910.36520.9%8.14%
K/T suited46.24%2.910.34360.3%8.45%
A/9 suited46.16%2.90.33660.3%8.75%
K/Q unsuited45.61%2.920.33180.9%9.65%
A/T unsuited45.79%2.90.32890.9%10.56%
Q/J suited45.55%2.910.32560.3%10.86%
A/8 suited45.31%2.880.30580.3%11.16%
Pair of 6's43.77%2.960.29580.45%11.61%
Q/T suited44.59%2.90.29320.3%11.92%
K/J unsuited44.46%2.910.2930.9%12.82%
A/7 suited44.32%2.870.27190.3%13.12%
K/9 suited43.88%2.890.26890.3%13.42%
J/T suited43.44%2.90.25820.3%13.73%
K/T unsuited43.42%2.90.25760.9%14.63%
A/9 unsuited43.25%2.880.24730.9%15.54%
A/5 suited43.59%2.850.24310.3%15.84%
Q/J unsuited42.76%2.90.24060.9%16.74%
A/6 suited43.19%2.860.23480.3%17.04%
Q/9 suited42.25%2.890.21930.3%17.35%
A/4 suited42.7%2.850.21610.3%17.65%
A/8 unsuited42.31%2.870.21360.9%18.55%
Q/T unsuited41.73%2.890.2060.9%19.46%
K/8 suited41.91%2.880.20480.3%19.76%
Pair of 5's40.7%2.950.20170.45%20.21%
A/3 suited41.8%2.850.19010.3%20.51%
J/9 suited41.11%2.880.18440.3%20.81%
K/7 suited41.19%2.860.17860.3%21.12%
A/7 unsuited41.25%2.850.1770.9%22.02%
K/9 unsuited40.88%2.880.17690.9%22.93%
J/T unsuited40.58%2.890.1710.9%23.83%
A/2 suited40.86%2.850.1630.3%24.13%
T/9 suited40.38%2.880.16170.3%24.43%
Q/8 suited40.28%2.870.15640.3%24.74%
K/6 suited40.29%2.850.14830.3%25.04%
A/5 unsuited40.46%2.830.14580.9%25.94%
A/6 unsuited40.04%2.840.13740.9%26.85%
Q/9 unsuited39.2%2.870.12620.9%27.75%
K/5 suited39.51%2.840.1220.3%28.05%
J/8 suited39.14%2.870.12190.3%28.36%
A/4 unsuited39.45%2.830.11550.9%29.26%
K/8 unsuited38.75%2.860.10790.9%30.17%
Pair of 4's37.42%2.950.10260.45%30.62%
T/8 suited38.46%2.860.10040.3%30.92%
K/4 suited38.63%2.840.09560.3%31.22%
Q/7 suited38.33%2.850.09370.3%31.52%
J/9 unsuited38.05%2.870.09080.9%32.43%
A/3 unsuited38.5%2.830.08790.9%33.33%
K/7 unsuited37.96%2.840.07920.9%34.24%
9/8 suited37.74%2.860.0790.3%34.54%
Q/6 suited37.7%2.840.07120.3%34.84%
K/3 suited37.78%2.840.07120.3%35.14%
T/9 unsuited37.36%2.860.06920.9%36.05%
J/7 suited37.21%2.850.06050.3%36.35%
Q/8 unsuited37.09%2.850.05850.9%37.25%
A/2 unsuited37.47%2.820.05790.9%38.16%
K/6 unsuited37%2.830.04690.9%39.06%
K/2 suited36.91%2.830.04640.3%39.37%
Q/5 suited36.93%2.830.04550.3%39.67%
T/7 suited36.51%2.850.03940.3%39.97%
J/8 unsuited35.94%2.850.02370.9%40.87%
9/7 suited35.95%2.840.02230.3%41.18%
Q/4 suited36.08%2.830.02030.3%41.48%
K/5 unsuited36.15%2.820.01830.9%42.38%
8/7 suited35.65%2.840.01340.3%42.68%
Pair of 3's34.33%2.940.00870.45%43.14%
T/8 unsuited35.26%2.840.00260.9%44.04%
J/6 suited35.33%2.830.00090.3%44.34%
Q/3 suited35.22%2.83-0.00420.3%44.65%
Q/7 unsuited35.01%2.83-0.00820.9%45.55%
K/4 unsuited35.19%2.81-0.01040.9%46.46%
J/5 suited34.79%2.82-0.01820.3%46.76%
9/8 unsuited34.55%2.84-0.01850.9%47.66%
T/6 suited34.64%2.83-0.01940.3%47.96%
Q/2 suited34.4%2.83-0.02790.3%48.27%
Q/6 unsuited34.33%2.82-0.03260.9%49.17%
9/6 suited34.08%2.83-0.03570.3%49.47%
K/3 unsuited34.26%2.81-0.03740.9%50.38%
8/6 suited33.88%2.83-0.04160.3%50.68%
J/7 unsuited33.86%2.83-0.04220.9%51.58%
7/6 suited33.85%2.83-0.04240.3%51.89%
J/4 suited33.95%2.82-0.0430.3%52.19%
Q/5 unsuited33.48%2.81-0.06070.9%53.09%
T/7 unsuited33.19%2.82-0.06260.9%54%
K/2 unsuited33.34%2.81-0.06420.9%54.9%
J/3 suited33.14%2.82-0.06590.3%55.2%
T/5 suited32.81%2.81-0.07680.3%55.51%
9/7 unsuited32.6%2.82-0.07990.9%56.41%
Pair of 2's31.4%2.93-0.08040.45%56.86%
8/7 unsuited32.33%2.82-0.08810.9%57.77%
Q/4 unsuited32.55%2.8-0.08860.9%58.67%
J/2 suited32.33%2.82-0.08910.3%58.97%
6/5 suited32.21%2.82-0.09230.3%59.28%
9/5 suited32.24%2.81-0.09270.3%59.58%
T/4 suited32.22%2.81-0.09450.3%59.88%
7/5 suited32.1%2.82-0.09620.3%60.18%
8/5 suited32.06%2.81-0.09790.3%60.48%
J/6 unsuited31.85%2.81-0.1060.9%61.39%
Q/3 unsuited31.63%2.8-0.1150.9%62.29%
T/3 suited31.42%2.81-0.11720.3%62.59%
T/6 unsuited31.16%2.8-0.12620.9%63.5%
J/5 unsuited31.26%2.79-0.12680.9%64.4%
5/4 suited30.98%2.81-0.12950.3%64.71%
T/2 suited30.6%2.81-0.14050.3%65.01%
Q/2 unsuited30.72%2.8-0.14130.9%65.91%
9/6 unsuited30.61%2.8-0.14210.9%66.82%
6/4 suited30.42%2.81-0.14530.3%67.12%
8/6 unsuited30.43%2.8-0.14730.9%68.02%
7/6 unsuited30.41%2.8-0.14770.9%68.93%
9/4 suited30.35%2.8-0.14920.3%69.23%
7/4 suited30.21%2.81-0.15220.3%69.53%
J/4 unsuited30.35%2.79-0.15380.9%70.44%
8/4 suited30.16%2.8-0.15420.3%70.74%
9/3 suited29.78%2.8-0.16540.3%71.04%
J/3 unsuited29.44%2.79-0.17980.9%71.95%
5/3 suited29.18%2.8-0.18210.3%72.25%
T/5 unsuited29.21%2.78-0.18720.9%73.15%
9/2 suited28.98%2.8-0.18830.3%73.45%
6/5 unsuited28.7%2.79-0.19980.9%74.36%
6/3 suited28.55%2.8-0.20020.3%74.66%
9/5 unsuited28.63%2.78-0.20350.9%75.57%
J/2 unsuited28.56%2.78-0.20520.9%76.47%
7/5 unsuited28.54%2.78-0.20530.9%77.38%
T/4 unsuited28.55%2.78-0.20720.9%78.28%
4/3 suited28.28%2.8-0.20740.3%78.58%
8/5 unsuited28.47%2.78-0.20780.9%79.49%
7/3 suited28.3%2.8-0.20820.3%79.79%
8/3 suited28.28%2.8-0.20930.3%80.09%
8/2 suited27.73%2.79-0.22530.3%80.39%
T/3 unsuited27.68%2.77-0.23240.9%81.3%
5/2 suited27.3%2.79-0.23710.3%81.6%
5/4 unsuited27.37%2.78-0.24010.9%82.5%
6/2 suited26.65%2.79-0.25590.3%82.81%
6/4 unsuited26.76%2.77-0.25760.9%83.71%
T/2 unsuited26.79%2.77-0.25780.9%84.62%
4/2 suited26.49%2.79-0.25990.3%84.92%
7/2 suited26.44%2.79-0.26280.3%85.22%
9/4 unsuited26.59%2.77-0.26440.9%86.12%
7/4 unsuited26.51%2.77-0.26570.9%87.03%
8/4 unsuited26.42%2.77-0.26870.9%87.93%
9/3 unsuited25.97%2.76-0.28250.9%88.84%
3/2 suited25.61%2.79-0.2850.3%89.14%
5/3 unsuited25.46%2.76-0.29610.9%90.05%
9/2 unsuited25.1%2.76-0.30730.9%90.95%
6/3 unsuited24.74%2.76-0.31680.9%91.86%
4/3 unsuited24.49%2.76-0.32380.9%92.76%
7/3 unsuited24.47%2.76-0.32560.9%93.67%
8/3 unsuited24.4%2.75-0.32850.9%94.57%
8/2 unsuited23.79%2.75-0.34620.9%95.48%
5/2 unsuited23.43%2.75-0.35580.9%96.38%
6/2 unsuited22.69%2.75-0.37690.9%97.29%
4/2 unsuited22.56%2.75-0.38010.9%98.19%
7/2 unsuited22.44%2.74-0.38540.9%99.1%
3/2 unsuited21.61%2.74-0.40720.9%100%
Total2.84100%

Methodology:

This table is the result of a random simulation of 68,612,544,000 games and assumes all players stay in until the end of the hand.

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The following table shows my power rating for each initial 2-card hand in a 3-player game. The numbers are on a 0 to 40 scale. Use the top table if you have a pair, the middle table if your cards are suited, and the bottom table if your cards are unsuited. Except for a pair,look up your high card along the left and your low card along the top.

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