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 AK852 flush 4 0.01% 1 : 15515 100.00%
2 AQs AQ852 flush 4 0.01% 1 : 15515 99.99%
3 AJs AJ852 flush 4 0.01% 1 : 15515 99.99%
4 ATs AT852 flush 4 0.01% 1 : 15515 99.98%
5 A9s A9852 flush 4 0.01% 1 : 15515 99.97%
6 A7s A8752 flush 4 0.01% 1 : 15515 99.97%
7 A6s A8652 flush 4 0.01% 1 : 15515 99.96%
8 A4s A8542 flush 4 0.01% 1 : 15515 99.95%
9 A3s A8532 flush 4 0.01% 1 : 15515 99.95%
10 KQs KQ852 flush 4 0.01% 1 : 15515 99.94%
11 KJs KJ852 flush 4 0.01% 1 : 15515 99.94%
12 KTs KT852 flush 4 0.01% 1 : 15515 99.93%
13 K9s K9852 flush 4 0.01% 1 : 15515 99.92%
14 K7s K8752 flush 4 0.01% 1 : 15515 99.92%
15 K6s K8652 flush 4 0.01% 1 : 15515 99.91%
16 K4s K8542 flush 4 0.01% 1 : 15515 99.90%
17 K3s K8532 flush 4 0.01% 1 : 15515 99.90%
18 QJs QJ852 flush 4 0.01% 1 : 15515 99.89%
19 QTs QT852 flush 4 0.01% 1 : 15515 99.88%
20 Q9s Q9852 flush 4 0.01% 1 : 15515 99.88%
21 Q7s Q8752 flush 4 0.01% 1 : 15515 99.87%
22 Q6s Q8652 flush 4 0.01% 1 : 15515 99.86%
23 Q4s Q8542 flush 4 0.01% 1 : 15515 99.86%
24 Q3s Q8532 flush 4 0.01% 1 : 15515 99.85%
25 JTs JT852 flush 4 0.01% 1 : 15515 99.85%
26 J9s J9852 flush 4 0.01% 1 : 15515 99.84%
27 J7s J8752 flush 4 0.01% 1 : 15515 99.83%
28 J6s J8652 flush 4 0.01% 1 : 15515 99.83%
29 J4s J8542 flush 4 0.01% 1 : 15515 99.82%
30 J3s J8532 flush 4 0.01% 1 : 15515 99.81%
31 T9s T9852 flush 4 0.01% 1 : 15515 99.81%
32 T7s T8752 flush 4 0.01% 1 : 15515 99.80%
33 T6s T8652 flush 4 0.01% 1 : 15515 99.79%
34 T4s T8542 flush 4 0.01% 1 : 15515 99.79%
35 T3s T8532 flush 4 0.01% 1 : 15515 99.78%
36 97s 98752 flush 4 0.01% 1 : 15515 99.77%
37 96s 98652 flush 4 0.01% 1 : 15515 99.77%
38 94s 98542 flush 4 0.01% 1 : 15515 99.76%
39 93s 98532 flush 4 0.01% 1 : 15515 99.76%
40 76s 87652 flush 4 0.01% 1 : 15515 99.75%
41 74s 87542 flush 4 0.01% 1 : 15515 99.74%
42 73s 87532 flush 4 0.01% 1 : 15515 99.74%
43 64s 86542 flush 4 0.01% 1 : 15515 99.73%
44 63s 86532 flush 4 0.01% 1 : 15515 99.72%
45 43s 85432 flush 4 0.01% 1 : 15515 99.72%
 
46 88 88852 three of a kind 64 0.10% 1 : 969 99.71%
47 55 85552 three of a kind 64 0.10% 1 : 969 99.61%
48 22 85222 three of a kind 64 0.10% 1 : 969 99.50%
 
49 85 88552 two pairs 144 0.23% 1 : 430 99.40%
50 82 88522 two pairs 144 0.23% 1 : 430 99.17%
51 52 85522 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AA852 one pair 384 0.62% 1 : 161 98.70%
53 KK KK852 one pair 384 0.62% 1 : 161 98.09%
54 QQ QQ852 one pair 384 0.62% 1 : 161 97.47%
55 JJ JJ852 one pair 384 0.62% 1 : 161 96.85%
56 TT TT852 one pair 384 0.62% 1 : 161 96.23%
57 99 99852 one pair 384 0.62% 1 : 161 95.61%
58 A8 A8852 one pair 384 0.62% 1 : 161 94.99%
59 K8 K8852 one pair 384 0.62% 1 : 161 94.37%
60 Q8 Q8852 one pair 384 0.62% 1 : 161 93.75%
61 J8 J8852 one pair 384 0.62% 1 : 161 93.14%
62 T8 T8852 one pair 384 0.62% 1 : 161 92.52%
63 98 98852 one pair 384 0.62% 1 : 161 91.90%
64 87 88752 one pair 384 0.62% 1 : 161 91.28%
65 86 88652 one pair 384 0.62% 1 : 161 90.66%
66 84 88542 one pair 384 0.62% 1 : 161 90.04%
67 83 88532 one pair 384 0.62% 1 : 161 89.42%
68 77 87752 one pair 384 0.62% 1 : 161 88.81%
69 66 86652 one pair 384 0.62% 1 : 161 88.19%
70 A5 A8552 one pair 384 0.62% 1 : 161 87.57%
71 K5 K8552 one pair 384 0.62% 1 : 161 86.95%
72 Q5 Q8552 one pair 384 0.62% 1 : 161 86.33%
73 J5 J8552 one pair 384 0.62% 1 : 161 85.71%
74 T5 T8552 one pair 384 0.62% 1 : 161 85.09%
75 95 98552 one pair 384 0.62% 1 : 161 84.47%
76 75 87552 one pair 384 0.62% 1 : 161 83.86%
77 65 86552 one pair 384 0.62% 1 : 161 83.24%
78 54 85542 one pair 384 0.62% 1 : 161 82.62%
79 53 85532 one pair 384 0.62% 1 : 161 82.00%
80 44 85442 one pair 384 0.62% 1 : 161 81.38%
81 33 85332 one pair 384 0.62% 1 : 161 80.76%
82 A2 A8522 one pair 384 0.62% 1 : 161 80.14%
83 K2 K8522 one pair 384 0.62% 1 : 161 79.52%
84 Q2 Q8522 one pair 384 0.62% 1 : 161 78.91%
85 J2 J8522 one pair 384 0.62% 1 : 161 78.29%
86 T2 T8522 one pair 384 0.62% 1 : 161 77.67%
87 92 98522 one pair 384 0.62% 1 : 161 77.05%
88 72 87522 one pair 384 0.62% 1 : 161 76.43%
89 62 86522 one pair 384 0.62% 1 : 161 75.81%
90 42 85422 one pair 384 0.62% 1 : 161 75.19%
91 32 85322 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AK852 high card 1,020 1.64% 1 : 59.8 73.96%
93 AQ AQ852 high card 1,020 1.64% 1 : 59.8 72.31%
94 AJ AJ852 high card 1,020 1.64% 1 : 59.8 70.67%
95 AT AT852 high card 1,020 1.64% 1 : 59.8 69.03%
96 A9 A9852 high card 1,020 1.64% 1 : 59.8 67.38%
97 A7 A8752 high card 1,020 1.64% 1 : 59.8 65.74%
98 A6 A8652 high card 1,020 1.64% 1 : 59.8 64.10%
99 A4 A8542 high card 1,020 1.64% 1 : 59.8 62.45%
100 A3 A8532 high card 1,020 1.64% 1 : 59.8 60.81%
101 KQ KQ852 high card 1,020 1.64% 1 : 59.8 59.16%
102 KJ KJ852 high card 1,020 1.64% 1 : 59.8 57.52%
103 KT KT852 high card 1,020 1.64% 1 : 59.8 55.88%
104 K9 K9852 high card 1,020 1.64% 1 : 59.8 54.23%
105 K7 K8752 high card 1,020 1.64% 1 : 59.8 52.59%
106 K6 K8652 high card 1,020 1.64% 1 : 59.8 50.95%
107 K4 K8542 high card 1,020 1.64% 1 : 59.8 49.30%
108 K3 K8532 high card 1,020 1.64% 1 : 59.8 47.66%
109 QJ QJ852 high card 1,020 1.64% 1 : 59.8 46.02%
110 QT QT852 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q9 Q9852 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q7 Q8752 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q6 Q8652 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q4 Q8542 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q3 Q8532 high card 1,020 1.64% 1 : 59.8 36.16%
116 JT JT852 high card 1,020 1.64% 1 : 59.8 34.51%
117 J9 J9852 high card 1,020 1.64% 1 : 59.8 32.87%
118 J7 J8752 high card 1,020 1.64% 1 : 59.8 31.23%
119 J6 J8652 high card 1,020 1.64% 1 : 59.8 29.58%
120 J4 J8542 high card 1,020 1.64% 1 : 59.8 27.94%
121 J3 J8532 high card 1,020 1.64% 1 : 59.8 26.30%
122 T9 T9852 high card 1,020 1.64% 1 : 59.8 24.65%
123 T7 T8752 high card 1,020 1.64% 1 : 59.8 23.01%
124 T6 T8652 high card 1,020 1.64% 1 : 59.8 21.37%
125 T4 T8542 high card 1,020 1.64% 1 : 59.8 19.72%
126 T3 T8532 high card 1,020 1.64% 1 : 59.8 18.08%
127 97 98752 high card 1,020 1.64% 1 : 59.8 16.43%
128 96 98652 high card 1,020 1.64% 1 : 59.8 14.79%
129 94 98542 high card 1,020 1.64% 1 : 59.8 13.15%
130 93 98532 high card 1,020 1.64% 1 : 59.8 11.50%
131 76 87652 high card 1,020 1.64% 1 : 59.8 9.86%
132 74 87542 high card 1,020 1.64% 1 : 59.8 8.22%
133 73 87532 high card 1,020 1.64% 1 : 59.8 6.57%
134 64 86542 high card 1,020 1.64% 1 : 59.8 4.93%
135 63 86532 high card 1,020 1.64% 1 : 59.8 3.29%
136 43 85432 high card 1,020 1.64% 1 : 59.8 1.64%