non-flush example flush example



distribution of hand types
distinct combinations probability odds
royal flush 0 0 impossible impossible
straight flush 0 0 impossible impossible
four of a kind 0 0 impossible impossible
full house 0 0 impossible impossible
flush 45 180 0.29% 1 : 344
straight 0 0 impossible impossible
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 45 45,900 73.96% 2.84 : 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 AKs AK972 flush 4 0.01% 1 : 15515 100.00%
2 AQs AQ972 flush 4 0.01% 1 : 15515 99.99%
3 AJs AJ972 flush 4 0.01% 1 : 15515 99.99%
4 ATs AT972 flush 4 0.01% 1 : 15515 99.98%
5 A8s A9872 flush 4 0.01% 1 : 15515 99.97%
6 A6s A9762 flush 4 0.01% 1 : 15515 99.97%
7 A5s A9752 flush 4 0.01% 1 : 15515 99.96%
8 A4s A9742 flush 4 0.01% 1 : 15515 99.95%
9 A3s A9732 flush 4 0.01% 1 : 15515 99.95%
10 KQs KQ972 flush 4 0.01% 1 : 15515 99.94%
11 KJs KJ972 flush 4 0.01% 1 : 15515 99.94%
12 KTs KT972 flush 4 0.01% 1 : 15515 99.93%
13 K8s K9872 flush 4 0.01% 1 : 15515 99.92%
14 K6s K9762 flush 4 0.01% 1 : 15515 99.92%
15 K5s K9752 flush 4 0.01% 1 : 15515 99.91%
16 K4s K9742 flush 4 0.01% 1 : 15515 99.90%
17 K3s K9732 flush 4 0.01% 1 : 15515 99.90%
18 QJs QJ972 flush 4 0.01% 1 : 15515 99.89%
19 QTs QT972 flush 4 0.01% 1 : 15515 99.88%
20 Q8s Q9872 flush 4 0.01% 1 : 15515 99.88%
21 Q6s Q9762 flush 4 0.01% 1 : 15515 99.87%
22 Q5s Q9752 flush 4 0.01% 1 : 15515 99.86%
23 Q4s Q9742 flush 4 0.01% 1 : 15515 99.86%
24 Q3s Q9732 flush 4 0.01% 1 : 15515 99.85%
25 JTs JT972 flush 4 0.01% 1 : 15515 99.85%
26 J8s J9872 flush 4 0.01% 1 : 15515 99.84%
27 J6s J9762 flush 4 0.01% 1 : 15515 99.83%
28 J5s J9752 flush 4 0.01% 1 : 15515 99.83%
29 J4s J9742 flush 4 0.01% 1 : 15515 99.82%
30 J3s J9732 flush 4 0.01% 1 : 15515 99.81%
31 T8s T9872 flush 4 0.01% 1 : 15515 99.81%
32 T6s T9762 flush 4 0.01% 1 : 15515 99.80%
33 T5s T9752 flush 4 0.01% 1 : 15515 99.79%
34 T4s T9742 flush 4 0.01% 1 : 15515 99.79%
35 T3s T9732 flush 4 0.01% 1 : 15515 99.78%
36 86s 98762 flush 4 0.01% 1 : 15515 99.77%
37 85s 98752 flush 4 0.01% 1 : 15515 99.77%
38 84s 98742 flush 4 0.01% 1 : 15515 99.76%
39 83s 98732 flush 4 0.01% 1 : 15515 99.76%
40 65s 97652 flush 4 0.01% 1 : 15515 99.75%
41 64s 97642 flush 4 0.01% 1 : 15515 99.74%
42 63s 97632 flush 4 0.01% 1 : 15515 99.74%
43 54s 97542 flush 4 0.01% 1 : 15515 99.73%
44 53s 97532 flush 4 0.01% 1 : 15515 99.72%
45 43s 97432 flush 4 0.01% 1 : 15515 99.72%
 
46 99 99972 three of a kind 64 0.10% 1 : 969 99.71%
47 77 97772 three of a kind 64 0.10% 1 : 969 99.61%
48 22 97222 three of a kind 64 0.10% 1 : 969 99.50%
 
49 97 99772 two pairs 144 0.23% 1 : 430 99.40%
50 92 99722 two pairs 144 0.23% 1 : 430 99.17%
51 72 97722 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AA972 one pair 384 0.62% 1 : 161 98.70%
53 KK KK972 one pair 384 0.62% 1 : 161 98.09%
54 QQ QQ972 one pair 384 0.62% 1 : 161 97.47%
55 JJ JJ972 one pair 384 0.62% 1 : 161 96.85%
56 TT TT972 one pair 384 0.62% 1 : 161 96.23%
57 A9 A9972 one pair 384 0.62% 1 : 161 95.61%
58 K9 K9972 one pair 384 0.62% 1 : 161 94.99%
59 Q9 Q9972 one pair 384 0.62% 1 : 161 94.37%
60 J9 J9972 one pair 384 0.62% 1 : 161 93.75%
61 T9 T9972 one pair 384 0.62% 1 : 161 93.14%
62 98 99872 one pair 384 0.62% 1 : 161 92.52%
63 96 99762 one pair 384 0.62% 1 : 161 91.90%
64 95 99752 one pair 384 0.62% 1 : 161 91.28%
65 94 99742 one pair 384 0.62% 1 : 161 90.66%
66 93 99732 one pair 384 0.62% 1 : 161 90.04%
67 88 98872 one pair 384 0.62% 1 : 161 89.42%
68 A7 A9772 one pair 384 0.62% 1 : 161 88.81%
69 K7 K9772 one pair 384 0.62% 1 : 161 88.19%
70 Q7 Q9772 one pair 384 0.62% 1 : 161 87.57%
71 J7 J9772 one pair 384 0.62% 1 : 161 86.95%
72 T7 T9772 one pair 384 0.62% 1 : 161 86.33%
73 87 98772 one pair 384 0.62% 1 : 161 85.71%
74 76 97762 one pair 384 0.62% 1 : 161 85.09%
75 75 97752 one pair 384 0.62% 1 : 161 84.47%
76 74 97742 one pair 384 0.62% 1 : 161 83.86%
77 73 97732 one pair 384 0.62% 1 : 161 83.24%
78 66 97662 one pair 384 0.62% 1 : 161 82.62%
79 55 97552 one pair 384 0.62% 1 : 161 82.00%
80 44 97442 one pair 384 0.62% 1 : 161 81.38%
81 33 97332 one pair 384 0.62% 1 : 161 80.76%
82 A2 A9722 one pair 384 0.62% 1 : 161 80.14%
83 K2 K9722 one pair 384 0.62% 1 : 161 79.52%
84 Q2 Q9722 one pair 384 0.62% 1 : 161 78.91%
85 J2 J9722 one pair 384 0.62% 1 : 161 78.29%
86 T2 T9722 one pair 384 0.62% 1 : 161 77.67%
87 82 98722 one pair 384 0.62% 1 : 161 77.05%
88 62 97622 one pair 384 0.62% 1 : 161 76.43%
89 52 97522 one pair 384 0.62% 1 : 161 75.81%
90 42 97422 one pair 384 0.62% 1 : 161 75.19%
91 32 97322 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AK972 high card 1,020 1.64% 1 : 59.8 73.96%
93 AQ AQ972 high card 1,020 1.64% 1 : 59.8 72.31%
94 AJ AJ972 high card 1,020 1.64% 1 : 59.8 70.67%
95 AT AT972 high card 1,020 1.64% 1 : 59.8 69.03%
96 A8 A9872 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 A9762 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 A9752 high card 1,020 1.64% 1 : 59.8 64.10%
99 A4 A9742 high card 1,020 1.64% 1 : 59.8 62.45%
100 A3 A9732 high card 1,020 1.64% 1 : 59.8 60.81%
101 KQ KQ972 high card 1,020 1.64% 1 : 59.8 59.16%
102 KJ KJ972 high card 1,020 1.64% 1 : 59.8 57.52%
103 KT KT972 high card 1,020 1.64% 1 : 59.8 55.88%
104 K8 K9872 high card 1,020 1.64% 1 : 59.8 54.23%
105 K6 K9762 high card 1,020 1.64% 1 : 59.8 52.59%
106 K5 K9752 high card 1,020 1.64% 1 : 59.8 50.95%
107 K4 K9742 high card 1,020 1.64% 1 : 59.8 49.30%
108 K3 K9732 high card 1,020 1.64% 1 : 59.8 47.66%
109 QJ QJ972 high card 1,020 1.64% 1 : 59.8 46.02%
110 QT QT972 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q8 Q9872 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q6 Q9762 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q5 Q9752 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q4 Q9742 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q3 Q9732 high card 1,020 1.64% 1 : 59.8 36.16%
116 JT JT972 high card 1,020 1.64% 1 : 59.8 34.51%
117 J8 J9872 high card 1,020 1.64% 1 : 59.8 32.87%
118 J6 J9762 high card 1,020 1.64% 1 : 59.8 31.23%
119 J5 J9752 high card 1,020 1.64% 1 : 59.8 29.58%
120 J4 J9742 high card 1,020 1.64% 1 : 59.8 27.94%
121 J3 J9732 high card 1,020 1.64% 1 : 59.8 26.30%
122 T8 T9872 high card 1,020 1.64% 1 : 59.8 24.65%
123 T6 T9762 high card 1,020 1.64% 1 : 59.8 23.01%
124 T5 T9752 high card 1,020 1.64% 1 : 59.8 21.37%
125 T4 T9742 high card 1,020 1.64% 1 : 59.8 19.72%
126 T3 T9732 high card 1,020 1.64% 1 : 59.8 18.08%
127 86 98762 high card 1,020 1.64% 1 : 59.8 16.43%
128 85 98752 high card 1,020 1.64% 1 : 59.8 14.79%
129 84 98742 high card 1,020 1.64% 1 : 59.8 13.15%
130 83 98732 high card 1,020 1.64% 1 : 59.8 11.50%
131 65 97652 high card 1,020 1.64% 1 : 59.8 9.86%
132 64 97642 high card 1,020 1.64% 1 : 59.8 8.22%
133 63 97632 high card 1,020 1.64% 1 : 59.8 6.57%
134 54 97542 high card 1,020 1.64% 1 : 59.8 4.93%
135 53 97532 high card 1,020 1.64% 1 : 59.8 3.29%
136 43 97432 high card 1,020 1.64% 1 : 59.8 1.64%