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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 2 8 0.01% 1 : 7757
four of a kind 0 0 impossible impossible
full house 0 0 impossible impossible
flush 43 172 0.28% 1 : 360
straight 2 2,040 3.29% 1 : 29.4
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 43 43,860 70.67% 2.41 : 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 86s 87654 straight flush 4 0.01% 1 : 15515 100.00%
2 63s 76543 straight flush 4 0.01% 1 : 15515 99.99%
 
3 AKs AK754 flush 4 0.01% 1 : 15515 99.99%
4 AQs AQ754 flush 4 0.01% 1 : 15515 99.98%
5 AJs AJ754 flush 4 0.01% 1 : 15515 99.97%
6 ATs AT754 flush 4 0.01% 1 : 15515 99.97%
7 A9s A9754 flush 4 0.01% 1 : 15515 99.96%
8 A8s A8754 flush 4 0.01% 1 : 15515 99.95%
9 A6s A7654 flush 4 0.01% 1 : 15515 99.95%
10 A3s A7543 flush 4 0.01% 1 : 15515 99.94%
11 A2s A7542 flush 4 0.01% 1 : 15515 99.94%
12 KQs KQ754 flush 4 0.01% 1 : 15515 99.93%
13 KJs KJ754 flush 4 0.01% 1 : 15515 99.92%
14 KTs KT754 flush 4 0.01% 1 : 15515 99.92%
15 K9s K9754 flush 4 0.01% 1 : 15515 99.91%
16 K8s K8754 flush 4 0.01% 1 : 15515 99.90%
17 K6s K7654 flush 4 0.01% 1 : 15515 99.90%
18 K3s K7543 flush 4 0.01% 1 : 15515 99.89%
19 K2s K7542 flush 4 0.01% 1 : 15515 99.88%
20 QJs QJ754 flush 4 0.01% 1 : 15515 99.88%
21 QTs QT754 flush 4 0.01% 1 : 15515 99.87%
22 Q9s Q9754 flush 4 0.01% 1 : 15515 99.86%
23 Q8s Q8754 flush 4 0.01% 1 : 15515 99.86%
24 Q6s Q7654 flush 4 0.01% 1 : 15515 99.85%
25 Q3s Q7543 flush 4 0.01% 1 : 15515 99.85%
26 Q2s Q7542 flush 4 0.01% 1 : 15515 99.84%
27 JTs JT754 flush 4 0.01% 1 : 15515 99.83%
28 J9s J9754 flush 4 0.01% 1 : 15515 99.83%
29 J8s J8754 flush 4 0.01% 1 : 15515 99.82%
30 J6s J7654 flush 4 0.01% 1 : 15515 99.81%
31 J3s J7543 flush 4 0.01% 1 : 15515 99.81%
32 J2s J7542 flush 4 0.01% 1 : 15515 99.80%
33 T9s T9754 flush 4 0.01% 1 : 15515 99.79%
34 T8s T8754 flush 4 0.01% 1 : 15515 99.79%
35 T6s T7654 flush 4 0.01% 1 : 15515 99.78%
36 T3s T7543 flush 4 0.01% 1 : 15515 99.77%
37 T2s T7542 flush 4 0.01% 1 : 15515 99.77%
38 98s 98754 flush 4 0.01% 1 : 15515 99.76%
39 96s 97654 flush 4 0.01% 1 : 15515 99.76%
40 93s 97543 flush 4 0.01% 1 : 15515 99.75%
41 92s 97542 flush 4 0.01% 1 : 15515 99.74%
42 83s 87543 flush 4 0.01% 1 : 15515 99.74%
43 82s 87542 flush 4 0.01% 1 : 15515 99.73%
44 62s 76542 flush 4 0.01% 1 : 15515 99.72%
45 32s 75432 flush 4 0.01% 1 : 15515 99.72%
 
46 86 87654 straight 1,020 1.64% 1 : 59.8 99.71%
47 63 76543 straight 1,020 1.64% 1 : 59.8 98.07%
 
48 77 77754 three of a kind 64 0.10% 1 : 969 96.42%
49 55 75554 three of a kind 64 0.10% 1 : 969 96.32%
50 44 75444 three of a kind 64 0.10% 1 : 969 96.22%
 
51 75 77554 two pairs 144 0.23% 1 : 430 96.11%
52 74 77544 two pairs 144 0.23% 1 : 430 95.88%
53 54 75544 two pairs 144 0.23% 1 : 430 95.65%
 
54 AA AA754 one pair 384 0.62% 1 : 161 95.42%
55 KK KK754 one pair 384 0.62% 1 : 161 94.80%
56 QQ QQ754 one pair 384 0.62% 1 : 161 94.18%
57 JJ JJ754 one pair 384 0.62% 1 : 161 93.56%
58 TT TT754 one pair 384 0.62% 1 : 161 92.94%
59 99 99754 one pair 384 0.62% 1 : 161 92.32%
60 88 88754 one pair 384 0.62% 1 : 161 91.71%
61 A7 A7754 one pair 384 0.62% 1 : 161 91.09%
62 K7 K7754 one pair 384 0.62% 1 : 161 90.47%
63 Q7 Q7754 one pair 384 0.62% 1 : 161 89.85%
64 J7 J7754 one pair 384 0.62% 1 : 161 89.23%
65 T7 T7754 one pair 384 0.62% 1 : 161 88.61%
66 97 97754 one pair 384 0.62% 1 : 161 87.99%
67 87 87754 one pair 384 0.62% 1 : 161 87.37%
68 76 77654 one pair 384 0.62% 1 : 161 86.76%
69 73 77543 one pair 384 0.62% 1 : 161 86.14%
70 72 77542 one pair 384 0.62% 1 : 161 85.52%
71 66 76654 one pair 384 0.62% 1 : 161 84.90%
72 A5 A7554 one pair 384 0.62% 1 : 161 84.28%
73 K5 K7554 one pair 384 0.62% 1 : 161 83.66%
74 Q5 Q7554 one pair 384 0.62% 1 : 161 83.04%
75 J5 J7554 one pair 384 0.62% 1 : 161 82.42%
76 T5 T7554 one pair 384 0.62% 1 : 161 81.81%
77 95 97554 one pair 384 0.62% 1 : 161 81.19%
78 85 87554 one pair 384 0.62% 1 : 161 80.57%
79 65 76554 one pair 384 0.62% 1 : 161 79.95%
80 53 75543 one pair 384 0.62% 1 : 161 79.33%
81 52 75542 one pair 384 0.62% 1 : 161 78.71%
82 A4 A7544 one pair 384 0.62% 1 : 161 78.09%
83 K4 K7544 one pair 384 0.62% 1 : 161 77.47%
84 Q4 Q7544 one pair 384 0.62% 1 : 161 76.86%
85 J4 J7544 one pair 384 0.62% 1 : 161 76.24%
86 T4 T7544 one pair 384 0.62% 1 : 161 75.62%
87 94 97544 one pair 384 0.62% 1 : 161 75.00%
88 84 87544 one pair 384 0.62% 1 : 161 74.38%
89 64 76544 one pair 384 0.62% 1 : 161 73.76%
90 43 75443 one pair 384 0.62% 1 : 161 73.14%
91 42 75442 one pair 384 0.62% 1 : 161 72.53%
92 33 75433 one pair 384 0.62% 1 : 161 71.91%
93 22 75422 one pair 384 0.62% 1 : 161 71.29%
 
94 AK AK754 high card 1,020 1.64% 1 : 59.8 70.67%
95 AQ AQ754 high card 1,020 1.64% 1 : 59.8 69.03%
96 AJ AJ754 high card 1,020 1.64% 1 : 59.8 67.38%
97 AT AT754 high card 1,020 1.64% 1 : 59.8 65.74%
98 A9 A9754 high card 1,020 1.64% 1 : 59.8 64.10%
99 A8 A8754 high card 1,020 1.64% 1 : 59.8 62.45%
100 A6 A7654 high card 1,020 1.64% 1 : 59.8 60.81%
101 A3 A7543 high card 1,020 1.64% 1 : 59.8 59.16%
102 A2 A7542 high card 1,020 1.64% 1 : 59.8 57.52%
103 KQ KQ754 high card 1,020 1.64% 1 : 59.8 55.88%
104 KJ KJ754 high card 1,020 1.64% 1 : 59.8 54.23%
105 KT KT754 high card 1,020 1.64% 1 : 59.8 52.59%
106 K9 K9754 high card 1,020 1.64% 1 : 59.8 50.95%
107 K8 K8754 high card 1,020 1.64% 1 : 59.8 49.30%
108 K6 K7654 high card 1,020 1.64% 1 : 59.8 47.66%
109 K3 K7543 high card 1,020 1.64% 1 : 59.8 46.02%
110 K2 K7542 high card 1,020 1.64% 1 : 59.8 44.37%
111 QJ QJ754 high card 1,020 1.64% 1 : 59.8 42.73%
112 QT QT754 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q9 Q9754 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q8 Q8754 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q6 Q7654 high card 1,020 1.64% 1 : 59.8 36.16%
116 Q3 Q7543 high card 1,020 1.64% 1 : 59.8 34.51%
117 Q2 Q7542 high card 1,020 1.64% 1 : 59.8 32.87%
118 JT JT754 high card 1,020 1.64% 1 : 59.8 31.23%
119 J9 J9754 high card 1,020 1.64% 1 : 59.8 29.58%
120 J8 J8754 high card 1,020 1.64% 1 : 59.8 27.94%
121 J6 J7654 high card 1,020 1.64% 1 : 59.8 26.30%
122 J3 J7543 high card 1,020 1.64% 1 : 59.8 24.65%
123 J2 J7542 high card 1,020 1.64% 1 : 59.8 23.01%
124 T9 T9754 high card 1,020 1.64% 1 : 59.8 21.37%
125 T8 T8754 high card 1,020 1.64% 1 : 59.8 19.72%
126 T6 T7654 high card 1,020 1.64% 1 : 59.8 18.08%
127 T3 T7543 high card 1,020 1.64% 1 : 59.8 16.43%
128 T2 T7542 high card 1,020 1.64% 1 : 59.8 14.79%
129 98 98754 high card 1,020 1.64% 1 : 59.8 13.15%
130 96 97654 high card 1,020 1.64% 1 : 59.8 11.50%
131 93 97543 high card 1,020 1.64% 1 : 59.8 9.86%
132 92 97542 high card 1,020 1.64% 1 : 59.8 8.22%
133 83 87543 high card 1,020 1.64% 1 : 59.8 6.57%
134 82 87542 high card 1,020 1.64% 1 : 59.8 4.93%
135 62 76542 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 75432 high card 1,020 1.64% 1 : 59.8 1.64%