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TABLES

Filling draws

Pot odds

Pairs and scares

169 ranked hands

169 real-world hand values

The worst-played hand in Texas holdem is 3,2 suited.  People lose more on average with it than any other.  It is not the worst hand, but it is the worst played hand.  Why is it so bad?  The potential to make a straight or flush dazzles people into playing it too often for too many bets.  The danger is you may actually complete your draw and bet big -- 3,2s can only make the lowest straight or flush. Opponents willing to call multiple bets will have a flush or straight just like you -- but higher.  So the hand usually loses just when there is a lot at stake.  3,2s is the sort of hand that wins tiny pots but loses big ones.  Further, if you make three-of-a-kind, it is the lowest possible.  Even if you start out ahead by flopping the only pair, virtually all subsequent cards are threatening.

This is a chart of how well people played their two-card Texas holdem hands.  It shows how much was won or lost in 16.6 million actual hands of limit holdem played at the PokerRoom.com.  All 169 hands are arranged by type, along with their rank and how many bets they won on average (the EV, or expected value).

EV is "expected value" in big bets.  So the average win with a pair of aces (A,A) was 2.44 big bets.  A,A ranks number one as the most valuable hand to hold.  Looking at the bottom of the pairs column, you can see that 2,2 lost money on average, and was the 67th worst hand.

Since this is real, not theoretical data, there are plenty of surprises.  For example, everyone knows that 7,2o (seven, two offsuit) is the worst of the 169 holdem hands, but it is only 128th in actual loses.  A,2o is seemingly better, but at 162, it actually loses more.  This is because people rarely play 7,2o, so they lose little.  But they play A,2o enough to make it one of the most expensively misplayed hands in holdem.   It makes the smallest possible straight, and if you have the misfortune of pairing the ace and betting it, then all other ace pairs have you out kicked (unless there's another sucker playing A,2o, in which case you still don't win anything, just break even).

Just because a hand has negative expectation on this chart does not mean it must never be played.  Most people do lose money with the pair 4,4, but experience shows it has positive expectation when played in late position in an unraised pot with several previous callers.  It will also do well against a single opponent whose high cards have not paired.

Identifying the worst hands.  Combing through this data, we can spot which hands people are losing the most money with.  (This is easier to see in the other version of the chart down below, where hands are arranged by value, not type.)  Note that the seven most expensive hands (163 through 169) are all suited.  Clearly, people have trouble throwing away suited crap.  People are also mislead by the potential of small, unsuited ace connectors.  The hands A,4o, A,3o and A,2o are major losers.

 

poker hand values

Real-world hand values

Average number of bets won/lost in actual games with all 169 holdem hands.

EV (expected value) is in big bets won.
Non-pairs are listed larger card first, so KA (king, ace) will be found as AK in the ace sections. 

Pairs Suited
Connectors
Unsuited
Connectors
Suited
Disconnectors
Unsuited
Disconnectors
Hand   EV Rank Hand   EV Rank Hand   EV Rank Hand   EV Rank Hand   EV Rank
AA 2.44 1 AK 0.81 5 AK 0.52 8 A9 0.19 19 A9 -0.04 53
KK 1.71 2 AQ 0.61 6 AQ 0.31 14 A8 0.14 23 A8 -0.09 68
QQ 1.23 3 AJ 0.48 9 AJ 0.18 20 A7 0.12 25 A7 -0.11 81
JJ 0.86 4 AT 0.35 12 AT 0.07 31 A6 0.03 38 A6 -0.14 133
TT 0.56 7 A5 0.11 27 A5 -0.12 86 K8 0.03 39 K8 -0.12 87
99 0.38 11 A4 0.07 32 A4 -0.14 134 K7 -0.01 44 K7 -0.12 88
88 0.23 17 A3 0.04 36 A3 -0.15 153 K6 -0.02 47 K6 -0.13 110
77 0.14 24 A2 0.04 37 A2 -0.16 162 K5 -0.04 54 K5 -0.14 135
66 0.07 33 KQ 0.43 10 KQ 0.18 21 K4 -0.05 56 K4 -0.15 154
55 0.01 43 KJ 0.34 13 KJ 0.06 34 K3 -0.11 82 K3 -0.15 155
44 -0.01 46 KT 0.24 16 KT 0.01 41 K2 -0.09 69 K2 -0.15 156
33 -0.06 59 K9 0.12 26 K9 -0.08 61 Q7 -0.06 58 Q7 -0.14 136
22 -0.08 67 QJ 0.27 15 QJ 0.05 35 Q6 -0.07 60 Q6 -0.14 137
      QT 0.21 18 QT -0.02 48 Q5 -0.08 62 Q5 -0.14 138
      Q9 0.08 29 Q9 -0.09 70 Q4 -0.10 75 Q4 -0.14 139
      Q8 -0.02 49 Q8 -0.13 111 Q3 -0.10 76 Q3 -0.14 140
      JT 0.15 22 JT -0.02 50 Q2 -0.10 77 Q2 -0.14 141
      J9 0.08 30 J9 -0.09 71 J6 -0.11 83 J6 -0.13 113
      J8 -0.02 51 J8 -0.12 89 J5 -0.12 90 J5 -0.14 142
      J7 -0.08 63 J7 -0.13 112 J4 -0.14 143 J4 -0.14 144
      T9 0.09 28 T9 -0.08 64 J3 -0.13 114 J3 -0.14 145
      T8 0.01 42 T8 -0.10 78 J2 -0.15 157 J2 -0.15 158
      T7 -0.05 57 T7 -0.12 91 T5 -0.13 115 T5 -0.13 116
      T6 -0.12 92 T6 -0.12 93 T4 -0.12 94 T4 -0.13 117
      98 0.03 40 98 -0.12 95 T3 -0.14 146 T3 -0.13 118
      97 -0.04 55 97 -0.11 84 T2 -0.14 147 T2 -0.13 119
      96 -0.10 79 96 -0.12 96 94 -0.16 163 94 -0.13 121
      95 -0.12 97 95 -0.13 120 93 -0.14 148 93 -0.12 98
      87 -0.01 45 87 -0.13 123 92 -0.16 164 92 -0.13 122
      86 -0.09 72 86 -0.12 99 83 -0.16 165 83 -0.13 125
      85 -0.11 85 85 -0.12 100 82 -0.16 166 82 -0.12 101
      84 -0.14 159 84 -0.13 124 72 -0.16 167 72 -0.13 128
      76 -0.03 52 76 -0.12 102            
      75 -0.10 80 75 -0.12 103            
      74 -0.13 126 74 -0.12 104            
      73 -0.14 150 73 -0.13 127            
      65 -0.08 65 65 -0.14 151            
      64 -0.08 66 64 -0.12 105            
      63 -0.12 106 63 -0.13 129            
      62 -0.15 169 62 -0.12 107            
      54 -0.09 73 54 -0.12 108            
      53 -0.09 74 53 -0.12 109            
      52 -0.16 168 52 -0.13 130            
      43 -0.13 131 43 -0.14 152            
      42 -0.15 160 42 -0.13 132            
      32 -0.18 169 32 -0.15 161            
Pairs Suited
Connectors
Unsuited
Connectors
Suited
Disconnectors
Unsuited
Disconnectors


From best to worst

Real-world hand rankings from the most profitable, to the most expensive.

  Hand  EV  
1 AA 2.44
2 KK 1.71
3 QQ 1.23
4 JJ 0.86
5 AKs 0.81
6 AQs 0.61
7 TT 0.56
8 AK 0.52
9 AJs 0.48
10 KQs 0.43
11 99 0.38
12 ATs 0.35
13 KJs 0.34
14 AQ 0.31
15 QJs 0.27
16 KTs 0.24
17 88 0.23
18 QTs 0.21
19 A9s 0.19
20 AJ 0.18
21 KQ 0.18
22 JTs 0.15
23 A8s 0.14
24 77 0.14
25 A7s 0.12
26 K9s 0.12
27 A5s 0.11
28 T9s 0.09
29 Q9s 0.08
30 J9s 0.08
31 AT 0.07
32 A4s 0.07
33 66 0.07
34 KJ 0.06
35 QJ 0.05
36 A3s 0.04
37 A2s 0.04
38 A6s 0.03
39 K8s 0.03
40 98s 0.03
41 KT 0.01
42 T8s 0.01
43 55 0.01
44 K7s -0.01
45 87s -0.01
46 44 -0.01
47 K6s -0.02
48 QT -0.02
49 Q8s -0.02
50 JT -0.02
51 J8s -0.02
52 76s -0.03
53 A9 -0.04
54 K5s -0.04
55 97s -0.04
56 K4s -0.05
57 T7s -0.05
  Hand  EV
58 Q7s -0.06
59 33 -0.06
60 Q6s -0.07
61 K9 -0.08
62 Q5s -0.08
63 J7s -0.08
64 T9 -0.08
65 65s -0.08
66 64s -0.08
67 22 -0.08
68 A8 -0.09
69 K2s -0.09
70 Q9 -0.09
71 J9 -0.09
72 86s -0.09
73 54s -0.09
74 53s -0.09
75 Q4s -0.10
76 Q3s -0.10
77 Q2s -0.10
78 T8 -0.10
79 96s -0.10
80 75s -0.10
81 A7 -0.11
82 K3s -0.11
83 J6s -0.11
84 97 -0.11
85 85s -0.11
86 A5 -0.12
87 K8 -0.12
88 K7 -0.12
89 J8 -0.12
90 J5s -0.12
91 T7 -0.12
92 T6s -0.12
93 T6 -0.12
94 T4s -0.12
95 98 -0.12
96 96 -0.12
97 95s -0.12
98 93 -0.12
99 86 -0.12
100 85 -0.12
101 82 -0.12
102 76 -0.12
103 75 -0.12
104 74 -0.12
105 64 -0.12
106 63s -0.12
107 62 -0.12
108 54 -0.12
109 53 -0.12
110 K6 -0.13
111 Q8 -0.13
112 J7 -0.13
113 J6 -0.13
114 J3s -0.13
  Hand  EV
115 T5s -0.13
116 T5 -0.13
117 T4 -0.13
118 T3 -0.13
119 T2 -0.13
120 95 -0.13
121 94 -0.13
122 92 -0.13
123 87 -0.13
124 84 -0.13
125 83 -0.13
126 74s -0.13
127 73 -0.13
128 72 -0.13
129 63 -0.13
130 52 -0.13
131 43s -0.13
132 42 -0.13
133 A6 -0.14
134 A4 -0.14
135 K5 -0.14
136 Q7 -0.14
137 Q6 -0.14
138 Q5 -0.14
139 Q4 -0.14
140 Q3 -0.14
141 Q2 -0.14
142 J5 -0.14
143 J4s -0.14
144 J4 -0.14
145 J3 -0.14
146 T3s -0.14
147 T2s -0.14
148 93s -0.14
159 84s -0.14
150 73s -0.14
151 65 -0.14
152 43 -0.14
153 A3 -0.15
154 K4 -0.15
155 K3 -0.15
156 K2 -0.15
157 J2s -0.15
158 J2 -0.15
169 62s -0.15
160 42s -0.15
161 32 -0.15
162 A2 -0.16
163 94s -0.16
164 92s -0.16
165 83s -0.16
166 82s -0.16
167 72s -0.16
168 52s -0.16
169 32s -0.18
     
     

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