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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 98s 98765 straight flush 4 0.01% 1 : 15515 100.00%
2 84s 87654 straight flush 4 0.01% 1 : 15515 99.99%
3 43s 76543 straight flush 4 0.01% 1 : 15515 99.99%
 
4 AKs AK765 flush 4 0.01% 1 : 15515 99.98%
5 AQs AQ765 flush 4 0.01% 1 : 15515 99.97%
6 AJs AJ765 flush 4 0.01% 1 : 15515 99.97%
7 ATs AT765 flush 4 0.01% 1 : 15515 99.96%
8 A9s A9765 flush 4 0.01% 1 : 15515 99.95%
9 A8s A8765 flush 4 0.01% 1 : 15515 99.95%
10 A4s A7654 flush 4 0.01% 1 : 15515 99.94%
11 A3s A7653 flush 4 0.01% 1 : 15515 99.94%
12 A2s A7652 flush 4 0.01% 1 : 15515 99.93%
13 KQs KQ765 flush 4 0.01% 1 : 15515 99.92%
14 KJs KJ765 flush 4 0.01% 1 : 15515 99.92%
15 KTs KT765 flush 4 0.01% 1 : 15515 99.91%
16 K9s K9765 flush 4 0.01% 1 : 15515 99.90%
17 K8s K8765 flush 4 0.01% 1 : 15515 99.90%
18 K4s K7654 flush 4 0.01% 1 : 15515 99.89%
19 K3s K7653 flush 4 0.01% 1 : 15515 99.88%
20 K2s K7652 flush 4 0.01% 1 : 15515 99.88%
21 QJs QJ765 flush 4 0.01% 1 : 15515 99.87%
22 QTs QT765 flush 4 0.01% 1 : 15515 99.86%
23 Q9s Q9765 flush 4 0.01% 1 : 15515 99.86%
24 Q8s Q8765 flush 4 0.01% 1 : 15515 99.85%
25 Q4s Q7654 flush 4 0.01% 1 : 15515 99.85%
26 Q3s Q7653 flush 4 0.01% 1 : 15515 99.84%
27 Q2s Q7652 flush 4 0.01% 1 : 15515 99.83%
28 JTs JT765 flush 4 0.01% 1 : 15515 99.83%
29 J9s J9765 flush 4 0.01% 1 : 15515 99.82%
30 J8s J8765 flush 4 0.01% 1 : 15515 99.81%
31 J4s J7654 flush 4 0.01% 1 : 15515 99.81%
32 J3s J7653 flush 4 0.01% 1 : 15515 99.80%
33 J2s J7652 flush 4 0.01% 1 : 15515 99.79%
34 T9s T9765 flush 4 0.01% 1 : 15515 99.79%
35 T8s T8765 flush 4 0.01% 1 : 15515 99.78%
36 T4s T7654 flush 4 0.01% 1 : 15515 99.77%
37 T3s T7653 flush 4 0.01% 1 : 15515 99.77%
38 T2s T7652 flush 4 0.01% 1 : 15515 99.76%
39 94s 97654 flush 4 0.01% 1 : 15515 99.76%
40 93s 97653 flush 4 0.01% 1 : 15515 99.75%
41 92s 97652 flush 4 0.01% 1 : 15515 99.74%
42 83s 87653 flush 4 0.01% 1 : 15515 99.74%
43 82s 87652 flush 4 0.01% 1 : 15515 99.73%
44 42s 76542 flush 4 0.01% 1 : 15515 99.72%
45 32s 76532 flush 4 0.01% 1 : 15515 99.72%
 
46 98 98765 straight 1,020 1.64% 1 : 59.8 99.71%
47 84 87654 straight 1,020 1.64% 1 : 59.8 98.07%
48 43 76543 straight 1,020 1.64% 1 : 59.8 96.42%
 
49 77 77765 three of a kind 64 0.10% 1 : 969 94.78%
50 66 76665 three of a kind 64 0.10% 1 : 969 94.68%
51 55 76555 three of a kind 64 0.10% 1 : 969 94.57%
 
52 76 77665 two pairs 144 0.23% 1 : 430 94.47%
53 75 77655 two pairs 144 0.23% 1 : 430 94.24%
54 65 76655 two pairs 144 0.23% 1 : 430 94.01%
 
55 AA AA765 one pair 384 0.62% 1 : 161 93.77%
56 KK KK765 one pair 384 0.62% 1 : 161 93.16%
57 QQ QQ765 one pair 384 0.62% 1 : 161 92.54%
58 JJ JJ765 one pair 384 0.62% 1 : 161 91.92%
59 TT TT765 one pair 384 0.62% 1 : 161 91.30%
60 99 99765 one pair 384 0.62% 1 : 161 90.68%
61 88 88765 one pair 384 0.62% 1 : 161 90.06%
62 A7 A7765 one pair 384 0.62% 1 : 161 89.44%
63 K7 K7765 one pair 384 0.62% 1 : 161 88.82%
64 Q7 Q7765 one pair 384 0.62% 1 : 161 88.21%
65 J7 J7765 one pair 384 0.62% 1 : 161 87.59%
66 T7 T7765 one pair 384 0.62% 1 : 161 86.97%
67 97 97765 one pair 384 0.62% 1 : 161 86.35%
68 87 87765 one pair 384 0.62% 1 : 161 85.73%
69 74 77654 one pair 384 0.62% 1 : 161 85.11%
70 73 77653 one pair 384 0.62% 1 : 161 84.49%
71 72 77652 one pair 384 0.62% 1 : 161 83.87%
72 A6 A7665 one pair 384 0.62% 1 : 161 83.26%
73 K6 K7665 one pair 384 0.62% 1 : 161 82.64%
74 Q6 Q7665 one pair 384 0.62% 1 : 161 82.02%
75 J6 J7665 one pair 384 0.62% 1 : 161 81.40%
76 T6 T7665 one pair 384 0.62% 1 : 161 80.78%
77 96 97665 one pair 384 0.62% 1 : 161 80.16%
78 86 87665 one pair 384 0.62% 1 : 161 79.54%
79 64 76654 one pair 384 0.62% 1 : 161 78.92%
80 63 76653 one pair 384 0.62% 1 : 161 78.31%
81 62 76652 one pair 384 0.62% 1 : 161 77.69%
82 A5 A7655 one pair 384 0.62% 1 : 161 77.07%
83 K5 K7655 one pair 384 0.62% 1 : 161 76.45%
84 Q5 Q7655 one pair 384 0.62% 1 : 161 75.83%
85 J5 J7655 one pair 384 0.62% 1 : 161 75.21%
86 T5 T7655 one pair 384 0.62% 1 : 161 74.59%
87 95 97655 one pair 384 0.62% 1 : 161 73.98%
88 85 87655 one pair 384 0.62% 1 : 161 73.36%
89 54 76554 one pair 384 0.62% 1 : 161 72.74%
90 53 76553 one pair 384 0.62% 1 : 161 72.12%
91 52 76552 one pair 384 0.62% 1 : 161 71.50%
92 44 76544 one pair 384 0.62% 1 : 161 70.88%
93 33 76533 one pair 384 0.62% 1 : 161 70.26%
94 22 76522 one pair 384 0.62% 1 : 161 69.64%
 
95 AK AK765 high card 1,020 1.64% 1 : 59.8 69.03%
96 AQ AQ765 high card 1,020 1.64% 1 : 59.8 67.38%
97 AJ AJ765 high card 1,020 1.64% 1 : 59.8 65.74%
98 AT AT765 high card 1,020 1.64% 1 : 59.8 64.10%
99 A9 A9765 high card 1,020 1.64% 1 : 59.8 62.45%
100 A8 A8765 high card 1,020 1.64% 1 : 59.8 60.81%
101 A4 A7654 high card 1,020 1.64% 1 : 59.8 59.16%
102 A3 A7653 high card 1,020 1.64% 1 : 59.8 57.52%
103 A2 A7652 high card 1,020 1.64% 1 : 59.8 55.88%
104 KQ KQ765 high card 1,020 1.64% 1 : 59.8 54.23%
105 KJ KJ765 high card 1,020 1.64% 1 : 59.8 52.59%
106 KT KT765 high card 1,020 1.64% 1 : 59.8 50.95%
107 K9 K9765 high card 1,020 1.64% 1 : 59.8 49.30%
108 K8 K8765 high card 1,020 1.64% 1 : 59.8 47.66%
109 K4 K7654 high card 1,020 1.64% 1 : 59.8 46.02%
110 K3 K7653 high card 1,020 1.64% 1 : 59.8 44.37%
111 K2 K7652 high card 1,020 1.64% 1 : 59.8 42.73%
112 QJ QJ765 high card 1,020 1.64% 1 : 59.8 41.09%
113 QT QT765 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q9 Q9765 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q8 Q8765 high card 1,020 1.64% 1 : 59.8 36.16%
116 Q4 Q7654 high card 1,020 1.64% 1 : 59.8 34.51%
117 Q3 Q7653 high card 1,020 1.64% 1 : 59.8 32.87%
118 Q2 Q7652 high card 1,020 1.64% 1 : 59.8 31.23%
119 JT JT765 high card 1,020 1.64% 1 : 59.8 29.58%
120 J9 J9765 high card 1,020 1.64% 1 : 59.8 27.94%
121 J8 J8765 high card 1,020 1.64% 1 : 59.8 26.30%
122 J4 J7654 high card 1,020 1.64% 1 : 59.8 24.65%
123 J3 J7653 high card 1,020 1.64% 1 : 59.8 23.01%
124 J2 J7652 high card 1,020 1.64% 1 : 59.8 21.37%
125 T9 T9765 high card 1,020 1.64% 1 : 59.8 19.72%
126 T8 T8765 high card 1,020 1.64% 1 : 59.8 18.08%
127 T4 T7654 high card 1,020 1.64% 1 : 59.8 16.43%
128 T3 T7653 high card 1,020 1.64% 1 : 59.8 14.79%
129 T2 T7652 high card 1,020 1.64% 1 : 59.8 13.15%
130 94 97654 high card 1,020 1.64% 1 : 59.8 11.50%
131 93 97653 high card 1,020 1.64% 1 : 59.8 9.86%
132 92 97652 high card 1,020 1.64% 1 : 59.8 8.22%
133 83 87653 high card 1,020 1.64% 1 : 59.8 6.57%
134 82 87652 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 76542 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 76532 high card 1,020 1.64% 1 : 59.8 1.64%