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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 86s 98765 straight flush 4 0.01% 1 : 15515 100.00%
 
2 AKs AK975 flush 4 0.01% 1 : 15515 99.99%
3 AQs AQ975 flush 4 0.01% 1 : 15515 99.99%
4 AJs AJ975 flush 4 0.01% 1 : 15515 99.98%
5 ATs AT975 flush 4 0.01% 1 : 15515 99.97%
6 A8s A9875 flush 4 0.01% 1 : 15515 99.97%
7 A6s A9765 flush 4 0.01% 1 : 15515 99.96%
8 A4s A9754 flush 4 0.01% 1 : 15515 99.95%
9 A3s A9753 flush 4 0.01% 1 : 15515 99.95%
10 A2s A9752 flush 4 0.01% 1 : 15515 99.94%
11 KQs KQ975 flush 4 0.01% 1 : 15515 99.94%
12 KJs KJ975 flush 4 0.01% 1 : 15515 99.93%
13 KTs KT975 flush 4 0.01% 1 : 15515 99.92%
14 K8s K9875 flush 4 0.01% 1 : 15515 99.92%
15 K6s K9765 flush 4 0.01% 1 : 15515 99.91%
16 K4s K9754 flush 4 0.01% 1 : 15515 99.90%
17 K3s K9753 flush 4 0.01% 1 : 15515 99.90%
18 K2s K9752 flush 4 0.01% 1 : 15515 99.89%
19 QJs QJ975 flush 4 0.01% 1 : 15515 99.88%
20 QTs QT975 flush 4 0.01% 1 : 15515 99.88%
21 Q8s Q9875 flush 4 0.01% 1 : 15515 99.87%
22 Q6s Q9765 flush 4 0.01% 1 : 15515 99.86%
23 Q4s Q9754 flush 4 0.01% 1 : 15515 99.86%
24 Q3s Q9753 flush 4 0.01% 1 : 15515 99.85%
25 Q2s Q9752 flush 4 0.01% 1 : 15515 99.85%
26 JTs JT975 flush 4 0.01% 1 : 15515 99.84%
27 J8s J9875 flush 4 0.01% 1 : 15515 99.83%
28 J6s J9765 flush 4 0.01% 1 : 15515 99.83%
29 J4s J9754 flush 4 0.01% 1 : 15515 99.82%
30 J3s J9753 flush 4 0.01% 1 : 15515 99.81%
31 J2s J9752 flush 4 0.01% 1 : 15515 99.81%
32 T8s T9875 flush 4 0.01% 1 : 15515 99.80%
33 T6s T9765 flush 4 0.01% 1 : 15515 99.79%
34 T4s T9754 flush 4 0.01% 1 : 15515 99.79%
35 T3s T9753 flush 4 0.01% 1 : 15515 99.78%
36 T2s T9752 flush 4 0.01% 1 : 15515 99.77%
37 84s 98754 flush 4 0.01% 1 : 15515 99.77%
38 83s 98753 flush 4 0.01% 1 : 15515 99.76%
39 82s 98752 flush 4 0.01% 1 : 15515 99.76%
40 64s 97654 flush 4 0.01% 1 : 15515 99.75%
41 63s 97653 flush 4 0.01% 1 : 15515 99.74%
42 62s 97652 flush 4 0.01% 1 : 15515 99.74%
43 43s 97543 flush 4 0.01% 1 : 15515 99.73%
44 42s 97542 flush 4 0.01% 1 : 15515 99.72%
45 32s 97532 flush 4 0.01% 1 : 15515 99.72%
 
46 86 98765 straight 1,020 1.64% 1 : 59.8 99.71%
 
47 99 99975 three of a kind 64 0.10% 1 : 969 98.07%
48 77 97775 three of a kind 64 0.10% 1 : 969 97.96%
49 55 97555 three of a kind 64 0.10% 1 : 969 97.86%
 
50 97 99775 two pairs 144 0.23% 1 : 430 97.76%
51 95 99755 two pairs 144 0.23% 1 : 430 97.53%
52 75 97755 two pairs 144 0.23% 1 : 430 97.29%
 
53 AA AA975 one pair 384 0.62% 1 : 161 97.06%
54 KK KK975 one pair 384 0.62% 1 : 161 96.44%
55 QQ QQ975 one pair 384 0.62% 1 : 161 95.82%
56 JJ JJ975 one pair 384 0.62% 1 : 161 95.20%
57 TT TT975 one pair 384 0.62% 1 : 161 94.59%
58 A9 A9975 one pair 384 0.62% 1 : 161 93.97%
59 K9 K9975 one pair 384 0.62% 1 : 161 93.35%
60 Q9 Q9975 one pair 384 0.62% 1 : 161 92.73%
61 J9 J9975 one pair 384 0.62% 1 : 161 92.11%
62 T9 T9975 one pair 384 0.62% 1 : 161 91.49%
63 98 99875 one pair 384 0.62% 1 : 161 90.87%
64 96 99765 one pair 384 0.62% 1 : 161 90.26%
65 94 99754 one pair 384 0.62% 1 : 161 89.64%
66 93 99753 one pair 384 0.62% 1 : 161 89.02%
67 92 99752 one pair 384 0.62% 1 : 161 88.40%
68 88 98875 one pair 384 0.62% 1 : 161 87.78%
69 A7 A9775 one pair 384 0.62% 1 : 161 87.16%
70 K7 K9775 one pair 384 0.62% 1 : 161 86.54%
71 Q7 Q9775 one pair 384 0.62% 1 : 161 85.92%
72 J7 J9775 one pair 384 0.62% 1 : 161 85.31%
73 T7 T9775 one pair 384 0.62% 1 : 161 84.69%
74 87 98775 one pair 384 0.62% 1 : 161 84.07%
75 76 97765 one pair 384 0.62% 1 : 161 83.45%
76 74 97754 one pair 384 0.62% 1 : 161 82.83%
77 73 97753 one pair 384 0.62% 1 : 161 82.21%
78 72 97752 one pair 384 0.62% 1 : 161 81.59%
79 66 97665 one pair 384 0.62% 1 : 161 80.97%
80 A5 A9755 one pair 384 0.62% 1 : 161 80.36%
81 K5 K9755 one pair 384 0.62% 1 : 161 79.74%
82 Q5 Q9755 one pair 384 0.62% 1 : 161 79.12%
83 J5 J9755 one pair 384 0.62% 1 : 161 78.50%
84 T5 T9755 one pair 384 0.62% 1 : 161 77.88%
85 85 98755 one pair 384 0.62% 1 : 161 77.26%
86 65 97655 one pair 384 0.62% 1 : 161 76.64%
87 54 97554 one pair 384 0.62% 1 : 161 76.02%
88 53 97553 one pair 384 0.62% 1 : 161 75.41%
89 52 97552 one pair 384 0.62% 1 : 161 74.79%
90 44 97544 one pair 384 0.62% 1 : 161 74.17%
91 33 97533 one pair 384 0.62% 1 : 161 73.55%
92 22 97522 one pair 384 0.62% 1 : 161 72.93%
 
93 AK AK975 high card 1,020 1.64% 1 : 59.8 72.31%
94 AQ AQ975 high card 1,020 1.64% 1 : 59.8 70.67%
95 AJ AJ975 high card 1,020 1.64% 1 : 59.8 69.03%
96 AT AT975 high card 1,020 1.64% 1 : 59.8 67.38%
97 A8 A9875 high card 1,020 1.64% 1 : 59.8 65.74%
98 A6 A9765 high card 1,020 1.64% 1 : 59.8 64.10%
99 A4 A9754 high card 1,020 1.64% 1 : 59.8 62.45%
100 A3 A9753 high card 1,020 1.64% 1 : 59.8 60.81%
101 A2 A9752 high card 1,020 1.64% 1 : 59.8 59.16%
102 KQ KQ975 high card 1,020 1.64% 1 : 59.8 57.52%
103 KJ KJ975 high card 1,020 1.64% 1 : 59.8 55.88%
104 KT KT975 high card 1,020 1.64% 1 : 59.8 54.23%
105 K8 K9875 high card 1,020 1.64% 1 : 59.8 52.59%
106 K6 K9765 high card 1,020 1.64% 1 : 59.8 50.95%
107 K4 K9754 high card 1,020 1.64% 1 : 59.8 49.30%
108 K3 K9753 high card 1,020 1.64% 1 : 59.8 47.66%
109 K2 K9752 high card 1,020 1.64% 1 : 59.8 46.02%
110 QJ QJ975 high card 1,020 1.64% 1 : 59.8 44.37%
111 QT QT975 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q8 Q9875 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q6 Q9765 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q4 Q9754 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q3 Q9753 high card 1,020 1.64% 1 : 59.8 36.16%
116 Q2 Q9752 high card 1,020 1.64% 1 : 59.8 34.51%
117 JT JT975 high card 1,020 1.64% 1 : 59.8 32.87%
118 J8 J9875 high card 1,020 1.64% 1 : 59.8 31.23%
119 J6 J9765 high card 1,020 1.64% 1 : 59.8 29.58%
120 J4 J9754 high card 1,020 1.64% 1 : 59.8 27.94%
121 J3 J9753 high card 1,020 1.64% 1 : 59.8 26.30%
122 J2 J9752 high card 1,020 1.64% 1 : 59.8 24.65%
123 T8 T9875 high card 1,020 1.64% 1 : 59.8 23.01%
124 T6 T9765 high card 1,020 1.64% 1 : 59.8 21.37%
125 T4 T9754 high card 1,020 1.64% 1 : 59.8 19.72%
126 T3 T9753 high card 1,020 1.64% 1 : 59.8 18.08%
127 T2 T9752 high card 1,020 1.64% 1 : 59.8 16.43%
128 84 98754 high card 1,020 1.64% 1 : 59.8 14.79%
129 83 98753 high card 1,020 1.64% 1 : 59.8 13.15%
130 82 98752 high card 1,020 1.64% 1 : 59.8 11.50%
131 64 97654 high card 1,020 1.64% 1 : 59.8 9.86%
132 63 97653 high card 1,020 1.64% 1 : 59.8 8.22%
133 62 97652 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 97543 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 97542 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 97532 high card 1,020 1.64% 1 : 59.8 1.64%