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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 1 4 0.01% 1 : 15515
four of a kind 0 0 impossible impossible
full house 0 0 impossible impossible
flush 44 176 0.28% 1 : 352
straight 1 1,020 1.64% 1 : 59.8
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 44 44,880 72.31% 2.61 : 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 64s 76543 straight flush 4 0.01% 1 : 15515 100.00%
 
2 AKs AK753 flush 4 0.01% 1 : 15515 99.99%
3 AQs AQ753 flush 4 0.01% 1 : 15515 99.99%
4 AJs AJ753 flush 4 0.01% 1 : 15515 99.98%
5 ATs AT753 flush 4 0.01% 1 : 15515 99.97%
6 A9s A9753 flush 4 0.01% 1 : 15515 99.97%
7 A8s A8753 flush 4 0.01% 1 : 15515 99.96%
8 A6s A7653 flush 4 0.01% 1 : 15515 99.95%
9 A4s A7543 flush 4 0.01% 1 : 15515 99.95%
10 A2s A7532 flush 4 0.01% 1 : 15515 99.94%
11 KQs KQ753 flush 4 0.01% 1 : 15515 99.94%
12 KJs KJ753 flush 4 0.01% 1 : 15515 99.93%
13 KTs KT753 flush 4 0.01% 1 : 15515 99.92%
14 K9s K9753 flush 4 0.01% 1 : 15515 99.92%
15 K8s K8753 flush 4 0.01% 1 : 15515 99.91%
16 K6s K7653 flush 4 0.01% 1 : 15515 99.90%
17 K4s K7543 flush 4 0.01% 1 : 15515 99.90%
18 K2s K7532 flush 4 0.01% 1 : 15515 99.89%
19 QJs QJ753 flush 4 0.01% 1 : 15515 99.88%
20 QTs QT753 flush 4 0.01% 1 : 15515 99.88%
21 Q9s Q9753 flush 4 0.01% 1 : 15515 99.87%
22 Q8s Q8753 flush 4 0.01% 1 : 15515 99.86%
23 Q6s Q7653 flush 4 0.01% 1 : 15515 99.86%
24 Q4s Q7543 flush 4 0.01% 1 : 15515 99.85%
25 Q2s Q7532 flush 4 0.01% 1 : 15515 99.85%
26 JTs JT753 flush 4 0.01% 1 : 15515 99.84%
27 J9s J9753 flush 4 0.01% 1 : 15515 99.83%
28 J8s J8753 flush 4 0.01% 1 : 15515 99.83%
29 J6s J7653 flush 4 0.01% 1 : 15515 99.82%
30 J4s J7543 flush 4 0.01% 1 : 15515 99.81%
31 J2s J7532 flush 4 0.01% 1 : 15515 99.81%
32 T9s T9753 flush 4 0.01% 1 : 15515 99.80%
33 T8s T8753 flush 4 0.01% 1 : 15515 99.79%
34 T6s T7653 flush 4 0.01% 1 : 15515 99.79%
35 T4s T7543 flush 4 0.01% 1 : 15515 99.78%
36 T2s T7532 flush 4 0.01% 1 : 15515 99.77%
37 98s 98753 flush 4 0.01% 1 : 15515 99.77%
38 96s 97653 flush 4 0.01% 1 : 15515 99.76%
39 94s 97543 flush 4 0.01% 1 : 15515 99.76%
40 92s 97532 flush 4 0.01% 1 : 15515 99.75%
41 86s 87653 flush 4 0.01% 1 : 15515 99.74%
42 84s 87543 flush 4 0.01% 1 : 15515 99.74%
43 82s 87532 flush 4 0.01% 1 : 15515 99.73%
44 62s 76532 flush 4 0.01% 1 : 15515 99.72%
45 42s 75432 flush 4 0.01% 1 : 15515 99.72%
 
46 64 76543 straight 1,020 1.64% 1 : 59.8 99.71%
 
47 77 77753 three of a kind 64 0.10% 1 : 969 98.07%
48 55 75553 three of a kind 64 0.10% 1 : 969 97.96%
49 33 75333 three of a kind 64 0.10% 1 : 969 97.86%
 
50 75 77553 two pairs 144 0.23% 1 : 430 97.76%
51 73 77533 two pairs 144 0.23% 1 : 430 97.53%
52 53 75533 two pairs 144 0.23% 1 : 430 97.29%
 
53 AA AA753 one pair 384 0.62% 1 : 161 97.06%
54 KK KK753 one pair 384 0.62% 1 : 161 96.44%
55 QQ QQ753 one pair 384 0.62% 1 : 161 95.82%
56 JJ JJ753 one pair 384 0.62% 1 : 161 95.20%
57 TT TT753 one pair 384 0.62% 1 : 161 94.59%
58 99 99753 one pair 384 0.62% 1 : 161 93.97%
59 88 88753 one pair 384 0.62% 1 : 161 93.35%
60 A7 A7753 one pair 384 0.62% 1 : 161 92.73%
61 K7 K7753 one pair 384 0.62% 1 : 161 92.11%
62 Q7 Q7753 one pair 384 0.62% 1 : 161 91.49%
63 J7 J7753 one pair 384 0.62% 1 : 161 90.87%
64 T7 T7753 one pair 384 0.62% 1 : 161 90.26%
65 97 97753 one pair 384 0.62% 1 : 161 89.64%
66 87 87753 one pair 384 0.62% 1 : 161 89.02%
67 76 77653 one pair 384 0.62% 1 : 161 88.40%
68 74 77543 one pair 384 0.62% 1 : 161 87.78%
69 72 77532 one pair 384 0.62% 1 : 161 87.16%
70 66 76653 one pair 384 0.62% 1 : 161 86.54%
71 A5 A7553 one pair 384 0.62% 1 : 161 85.92%
72 K5 K7553 one pair 384 0.62% 1 : 161 85.31%
73 Q5 Q7553 one pair 384 0.62% 1 : 161 84.69%
74 J5 J7553 one pair 384 0.62% 1 : 161 84.07%
75 T5 T7553 one pair 384 0.62% 1 : 161 83.45%
76 95 97553 one pair 384 0.62% 1 : 161 82.83%
77 85 87553 one pair 384 0.62% 1 : 161 82.21%
78 65 76553 one pair 384 0.62% 1 : 161 81.59%
79 54 75543 one pair 384 0.62% 1 : 161 80.97%
80 52 75532 one pair 384 0.62% 1 : 161 80.36%
81 44 75443 one pair 384 0.62% 1 : 161 79.74%
82 A3 A7533 one pair 384 0.62% 1 : 161 79.12%
83 K3 K7533 one pair 384 0.62% 1 : 161 78.50%
84 Q3 Q7533 one pair 384 0.62% 1 : 161 77.88%
85 J3 J7533 one pair 384 0.62% 1 : 161 77.26%
86 T3 T7533 one pair 384 0.62% 1 : 161 76.64%
87 93 97533 one pair 384 0.62% 1 : 161 76.02%
88 83 87533 one pair 384 0.62% 1 : 161 75.41%
89 63 76533 one pair 384 0.62% 1 : 161 74.79%
90 43 75433 one pair 384 0.62% 1 : 161 74.17%
91 32 75332 one pair 384 0.62% 1 : 161 73.55%
92 22 75322 one pair 384 0.62% 1 : 161 72.93%
 
93 AK AK753 high card 1,020 1.64% 1 : 59.8 72.31%
94 AQ AQ753 high card 1,020 1.64% 1 : 59.8 70.67%
95 AJ AJ753 high card 1,020 1.64% 1 : 59.8 69.03%
96 AT AT753 high card 1,020 1.64% 1 : 59.8 67.38%
97 A9 A9753 high card 1,020 1.64% 1 : 59.8 65.74%
98 A8 A8753 high card 1,020 1.64% 1 : 59.8 64.10%
99 A6 A7653 high card 1,020 1.64% 1 : 59.8 62.45%
100 A4 A7543 high card 1,020 1.64% 1 : 59.8 60.81%
101 A2 A7532 high card 1,020 1.64% 1 : 59.8 59.16%
102 KQ KQ753 high card 1,020 1.64% 1 : 59.8 57.52%
103 KJ KJ753 high card 1,020 1.64% 1 : 59.8 55.88%
104 KT KT753 high card 1,020 1.64% 1 : 59.8 54.23%
105 K9 K9753 high card 1,020 1.64% 1 : 59.8 52.59%
106 K8 K8753 high card 1,020 1.64% 1 : 59.8 50.95%
107 K6 K7653 high card 1,020 1.64% 1 : 59.8 49.30%
108 K4 K7543 high card 1,020 1.64% 1 : 59.8 47.66%
109 K2 K7532 high card 1,020 1.64% 1 : 59.8 46.02%
110 QJ QJ753 high card 1,020 1.64% 1 : 59.8 44.37%
111 QT QT753 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q9 Q9753 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q8 Q8753 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q6 Q7653 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q4 Q7543 high card 1,020 1.64% 1 : 59.8 36.16%
116 Q2 Q7532 high card 1,020 1.64% 1 : 59.8 34.51%
117 JT JT753 high card 1,020 1.64% 1 : 59.8 32.87%
118 J9 J9753 high card 1,020 1.64% 1 : 59.8 31.23%
119 J8 J8753 high card 1,020 1.64% 1 : 59.8 29.58%
120 J6 J7653 high card 1,020 1.64% 1 : 59.8 27.94%
121 J4 J7543 high card 1,020 1.64% 1 : 59.8 26.30%
122 J2 J7532 high card 1,020 1.64% 1 : 59.8 24.65%
123 T9 T9753 high card 1,020 1.64% 1 : 59.8 23.01%
124 T8 T8753 high card 1,020 1.64% 1 : 59.8 21.37%
125 T6 T7653 high card 1,020 1.64% 1 : 59.8 19.72%
126 T4 T7543 high card 1,020 1.64% 1 : 59.8 18.08%
127 T2 T7532 high card 1,020 1.64% 1 : 59.8 16.43%
128 98 98753 high card 1,020 1.64% 1 : 59.8 14.79%
129 96 97653 high card 1,020 1.64% 1 : 59.8 13.15%
130 94 97543 high card 1,020 1.64% 1 : 59.8 11.50%
131 92 97532 high card 1,020 1.64% 1 : 59.8 9.86%
132 86 87653 high card 1,020 1.64% 1 : 59.8 8.22%
133 84 87543 high card 1,020 1.64% 1 : 59.8 6.57%
134 82 87532 high card 1,020 1.64% 1 : 59.8 4.93%
135 62 76532 high card 1,020 1.64% 1 : 59.8 3.29%
136 42 75432 high card 1,020 1.64% 1 : 59.8 1.64%