non-flush example flush example



distribution of hand types
distinct combinations probability odds
royal flush 0 0 impossible impossible
straight flush 3 12 0.02% 1 : 5171
four of a kind 0 0 impossible impossible
full house 0 0 impossible impossible
flush 42 168 0.27% 1 : 368
straight 3 3,060 4.93% 1 : 19.3
three of a kind 3 192 0.31% 1 : 322
two pairs 3 432 0.70% 1 : 143
one pair 40 15,360 24.75% 1 : 3.04
high card 42 42,840 69.03% 2.23 : 1
total 136 62,064 100 %



note: in the table below, a flush (or straight flush or royal flush) can by definition only occur if all five cards are of the same suit.
therefore, the "s" next to hole cards means that the hole cards are suited AND all three flop cards are of that suit, too.


ranking of all 136 distinct hole cards
hole cards hand category combinations probability odds equity
nuts T9s T9876 straight flush 4 0.01% 1 : 15515 100.00%
2 95s 98765 straight flush 4 0.01% 1 : 15515 99.99%
3 54s 87654 straight flush 4 0.01% 1 : 15515 99.99%
 
4 AKs AK876 flush 4 0.01% 1 : 15515 99.98%
5 AQs AQ876 flush 4 0.01% 1 : 15515 99.97%
6 AJs AJ876 flush 4 0.01% 1 : 15515 99.97%
7 ATs AT876 flush 4 0.01% 1 : 15515 99.96%
8 A9s A9876 flush 4 0.01% 1 : 15515 99.95%
9 A5s A8765 flush 4 0.01% 1 : 15515 99.95%
10 A4s A8764 flush 4 0.01% 1 : 15515 99.94%
11 A3s A8763 flush 4 0.01% 1 : 15515 99.94%
12 A2s A8762 flush 4 0.01% 1 : 15515 99.93%
13 KQs KQ876 flush 4 0.01% 1 : 15515 99.92%
14 KJs KJ876 flush 4 0.01% 1 : 15515 99.92%
15 KTs KT876 flush 4 0.01% 1 : 15515 99.91%
16 K9s K9876 flush 4 0.01% 1 : 15515 99.90%
17 K5s K8765 flush 4 0.01% 1 : 15515 99.90%
18 K4s K8764 flush 4 0.01% 1 : 15515 99.89%
19 K3s K8763 flush 4 0.01% 1 : 15515 99.88%
20 K2s K8762 flush 4 0.01% 1 : 15515 99.88%
21 QJs QJ876 flush 4 0.01% 1 : 15515 99.87%
22 QTs QT876 flush 4 0.01% 1 : 15515 99.86%
23 Q9s Q9876 flush 4 0.01% 1 : 15515 99.86%
24 Q5s Q8765 flush 4 0.01% 1 : 15515 99.85%
25 Q4s Q8764 flush 4 0.01% 1 : 15515 99.85%
26 Q3s Q8763 flush 4 0.01% 1 : 15515 99.84%
27 Q2s Q8762 flush 4 0.01% 1 : 15515 99.83%
28 JTs JT876 flush 4 0.01% 1 : 15515 99.83%
29 J9s J9876 flush 4 0.01% 1 : 15515 99.82%
30 J5s J8765 flush 4 0.01% 1 : 15515 99.81%
31 J4s J8764 flush 4 0.01% 1 : 15515 99.81%
32 J3s J8763 flush 4 0.01% 1 : 15515 99.80%
33 J2s J8762 flush 4 0.01% 1 : 15515 99.79%
34 T5s T8765 flush 4 0.01% 1 : 15515 99.79%
35 T4s T8764 flush 4 0.01% 1 : 15515 99.78%
36 T3s T8763 flush 4 0.01% 1 : 15515 99.77%
37 T2s T8762 flush 4 0.01% 1 : 15515 99.77%
38 94s 98764 flush 4 0.01% 1 : 15515 99.76%
39 93s 98763 flush 4 0.01% 1 : 15515 99.76%
40 92s 98762 flush 4 0.01% 1 : 15515 99.75%
41 53s 87653 flush 4 0.01% 1 : 15515 99.74%
42 52s 87652 flush 4 0.01% 1 : 15515 99.74%
43 43s 87643 flush 4 0.01% 1 : 15515 99.73%
44 42s 87642 flush 4 0.01% 1 : 15515 99.72%
45 32s 87632 flush 4 0.01% 1 : 15515 99.72%
 
46 T9 T9876 straight 1,020 1.64% 1 : 59.8 99.71%
47 95 98765 straight 1,020 1.64% 1 : 59.8 98.07%
48 54 87654 straight 1,020 1.64% 1 : 59.8 96.42%
 
49 88 88876 three of a kind 64 0.10% 1 : 969 94.78%
50 77 87776 three of a kind 64 0.10% 1 : 969 94.68%
51 66 87666 three of a kind 64 0.10% 1 : 969 94.57%
 
52 87 88776 two pairs 144 0.23% 1 : 430 94.47%
53 86 88766 two pairs 144 0.23% 1 : 430 94.24%
54 76 87766 two pairs 144 0.23% 1 : 430 94.01%
 
55 AA AA876 one pair 384 0.62% 1 : 161 93.77%
56 KK KK876 one pair 384 0.62% 1 : 161 93.16%
57 QQ QQ876 one pair 384 0.62% 1 : 161 92.54%
58 JJ JJ876 one pair 384 0.62% 1 : 161 91.92%
59 TT TT876 one pair 384 0.62% 1 : 161 91.30%
60 99 99876 one pair 384 0.62% 1 : 161 90.68%
61 A8 A8876 one pair 384 0.62% 1 : 161 90.06%
62 K8 K8876 one pair 384 0.62% 1 : 161 89.44%
63 Q8 Q8876 one pair 384 0.62% 1 : 161 88.82%
64 J8 J8876 one pair 384 0.62% 1 : 161 88.21%
65 T8 T8876 one pair 384 0.62% 1 : 161 87.59%
66 98 98876 one pair 384 0.62% 1 : 161 86.97%
67 85 88765 one pair 384 0.62% 1 : 161 86.35%
68 84 88764 one pair 384 0.62% 1 : 161 85.73%
69 83 88763 one pair 384 0.62% 1 : 161 85.11%
70 82 88762 one pair 384 0.62% 1 : 161 84.49%
71 A7 A8776 one pair 384 0.62% 1 : 161 83.87%
72 K7 K8776 one pair 384 0.62% 1 : 161 83.26%
73 Q7 Q8776 one pair 384 0.62% 1 : 161 82.64%
74 J7 J8776 one pair 384 0.62% 1 : 161 82.02%
75 T7 T8776 one pair 384 0.62% 1 : 161 81.40%
76 97 98776 one pair 384 0.62% 1 : 161 80.78%
77 75 87765 one pair 384 0.62% 1 : 161 80.16%
78 74 87764 one pair 384 0.62% 1 : 161 79.54%
79 73 87763 one pair 384 0.62% 1 : 161 78.92%
80 72 87762 one pair 384 0.62% 1 : 161 78.31%
81 A6 A8766 one pair 384 0.62% 1 : 161 77.69%
82 K6 K8766 one pair 384 0.62% 1 : 161 77.07%
83 Q6 Q8766 one pair 384 0.62% 1 : 161 76.45%
84 J6 J8766 one pair 384 0.62% 1 : 161 75.83%
85 T6 T8766 one pair 384 0.62% 1 : 161 75.21%
86 96 98766 one pair 384 0.62% 1 : 161 74.59%
87 65 87665 one pair 384 0.62% 1 : 161 73.98%
88 64 87664 one pair 384 0.62% 1 : 161 73.36%
89 63 87663 one pair 384 0.62% 1 : 161 72.74%
90 62 87662 one pair 384 0.62% 1 : 161 72.12%
91 55 87655 one pair 384 0.62% 1 : 161 71.50%
92 44 87644 one pair 384 0.62% 1 : 161 70.88%
93 33 87633 one pair 384 0.62% 1 : 161 70.26%
94 22 87622 one pair 384 0.62% 1 : 161 69.64%
 
95 AK AK876 high card 1,020 1.64% 1 : 59.8 69.03%
96 AQ AQ876 high card 1,020 1.64% 1 : 59.8 67.38%
97 AJ AJ876 high card 1,020 1.64% 1 : 59.8 65.74%
98 AT AT876 high card 1,020 1.64% 1 : 59.8 64.10%
99 A9 A9876 high card 1,020 1.64% 1 : 59.8 62.45%
100 A5 A8765 high card 1,020 1.64% 1 : 59.8 60.81%
101 A4 A8764 high card 1,020 1.64% 1 : 59.8 59.16%
102 A3 A8763 high card 1,020 1.64% 1 : 59.8 57.52%
103 A2 A8762 high card 1,020 1.64% 1 : 59.8 55.88%
104 KQ KQ876 high card 1,020 1.64% 1 : 59.8 54.23%
105 KJ KJ876 high card 1,020 1.64% 1 : 59.8 52.59%
106 KT KT876 high card 1,020 1.64% 1 : 59.8 50.95%
107 K9 K9876 high card 1,020 1.64% 1 : 59.8 49.30%
108 K5 K8765 high card 1,020 1.64% 1 : 59.8 47.66%
109 K4 K8764 high card 1,020 1.64% 1 : 59.8 46.02%
110 K3 K8763 high card 1,020 1.64% 1 : 59.8 44.37%
111 K2 K8762 high card 1,020 1.64% 1 : 59.8 42.73%
112 QJ QJ876 high card 1,020 1.64% 1 : 59.8 41.09%
113 QT QT876 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q9 Q9876 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q5 Q8765 high card 1,020 1.64% 1 : 59.8 36.16%
116 Q4 Q8764 high card 1,020 1.64% 1 : 59.8 34.51%
117 Q3 Q8763 high card 1,020 1.64% 1 : 59.8 32.87%
118 Q2 Q8762 high card 1,020 1.64% 1 : 59.8 31.23%
119 JT JT876 high card 1,020 1.64% 1 : 59.8 29.58%
120 J9 J9876 high card 1,020 1.64% 1 : 59.8 27.94%
121 J5 J8765 high card 1,020 1.64% 1 : 59.8 26.30%
122 J4 J8764 high card 1,020 1.64% 1 : 59.8 24.65%
123 J3 J8763 high card 1,020 1.64% 1 : 59.8 23.01%
124 J2 J8762 high card 1,020 1.64% 1 : 59.8 21.37%
125 T5 T8765 high card 1,020 1.64% 1 : 59.8 19.72%
126 T4 T8764 high card 1,020 1.64% 1 : 59.8 18.08%
127 T3 T8763 high card 1,020 1.64% 1 : 59.8 16.43%
128 T2 T8762 high card 1,020 1.64% 1 : 59.8 14.79%
129 94 98764 high card 1,020 1.64% 1 : 59.8 13.15%
130 93 98763 high card 1,020 1.64% 1 : 59.8 11.50%
131 92 98762 high card 1,020 1.64% 1 : 59.8 9.86%
132 53 87653 high card 1,020 1.64% 1 : 59.8 8.22%
133 52 87652 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 87643 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 87642 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 87632 high card 1,020 1.64% 1 : 59.8 1.64%