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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 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 AQs AKQ42 flush 4 0.01% 1 : 15515 100.00%
2 AJs AKJ42 flush 4 0.01% 1 : 15515 99.99%
3 ATs AKT42 flush 4 0.01% 1 : 15515 99.99%
4 A9s AK942 flush 4 0.01% 1 : 15515 99.98%
5 A8s AK842 flush 4 0.01% 1 : 15515 99.97%
6 A7s AK742 flush 4 0.01% 1 : 15515 99.97%
7 A6s AK642 flush 4 0.01% 1 : 15515 99.96%
8 A5s AK542 flush 4 0.01% 1 : 15515 99.95%
9 A3s AK432 flush 4 0.01% 1 : 15515 99.95%
10 QJs KQJ42 flush 4 0.01% 1 : 15515 99.94%
11 QTs KQT42 flush 4 0.01% 1 : 15515 99.94%
12 Q9s KQ942 flush 4 0.01% 1 : 15515 99.93%
13 Q8s KQ842 flush 4 0.01% 1 : 15515 99.92%
14 Q7s KQ742 flush 4 0.01% 1 : 15515 99.92%
15 Q6s KQ642 flush 4 0.01% 1 : 15515 99.91%
16 Q5s KQ542 flush 4 0.01% 1 : 15515 99.90%
17 Q3s KQ432 flush 4 0.01% 1 : 15515 99.90%
18 JTs KJT42 flush 4 0.01% 1 : 15515 99.89%
19 J9s KJ942 flush 4 0.01% 1 : 15515 99.88%
20 J8s KJ842 flush 4 0.01% 1 : 15515 99.88%
21 J7s KJ742 flush 4 0.01% 1 : 15515 99.87%
22 J6s KJ642 flush 4 0.01% 1 : 15515 99.86%
23 J5s KJ542 flush 4 0.01% 1 : 15515 99.86%
24 J3s KJ432 flush 4 0.01% 1 : 15515 99.85%
25 T9s KT942 flush 4 0.01% 1 : 15515 99.85%
26 T8s KT842 flush 4 0.01% 1 : 15515 99.84%
27 T7s KT742 flush 4 0.01% 1 : 15515 99.83%
28 T6s KT642 flush 4 0.01% 1 : 15515 99.83%
29 T5s KT542 flush 4 0.01% 1 : 15515 99.82%
30 T3s KT432 flush 4 0.01% 1 : 15515 99.81%
31 98s K9842 flush 4 0.01% 1 : 15515 99.81%
32 97s K9742 flush 4 0.01% 1 : 15515 99.80%
33 96s K9642 flush 4 0.01% 1 : 15515 99.79%
34 95s K9542 flush 4 0.01% 1 : 15515 99.79%
35 93s K9432 flush 4 0.01% 1 : 15515 99.78%
36 87s K8742 flush 4 0.01% 1 : 15515 99.77%
37 86s K8642 flush 4 0.01% 1 : 15515 99.77%
38 85s K8542 flush 4 0.01% 1 : 15515 99.76%
39 83s K8432 flush 4 0.01% 1 : 15515 99.76%
40 76s K7642 flush 4 0.01% 1 : 15515 99.75%
41 75s K7542 flush 4 0.01% 1 : 15515 99.74%
42 73s K7432 flush 4 0.01% 1 : 15515 99.74%
43 65s K6542 flush 4 0.01% 1 : 15515 99.73%
44 63s K6432 flush 4 0.01% 1 : 15515 99.72%
45 53s K5432 flush 4 0.01% 1 : 15515 99.72%
 
46 KK KKK42 three of a kind 64 0.10% 1 : 969 99.71%
47 44 K4442 three of a kind 64 0.10% 1 : 969 99.61%
48 22 K4222 three of a kind 64 0.10% 1 : 969 99.50%
 
49 K4 KK442 two pairs 144 0.23% 1 : 430 99.40%
50 K2 KK422 two pairs 144 0.23% 1 : 430 99.17%
51 42 K4422 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAK42 one pair 384 0.62% 1 : 161 98.70%
53 AK AKK42 one pair 384 0.62% 1 : 161 98.09%
54 KQ KKQ42 one pair 384 0.62% 1 : 161 97.47%
55 KJ KKJ42 one pair 384 0.62% 1 : 161 96.85%
56 KT KKT42 one pair 384 0.62% 1 : 161 96.23%
57 K9 KK942 one pair 384 0.62% 1 : 161 95.61%
58 K8 KK842 one pair 384 0.62% 1 : 161 94.99%
59 K7 KK742 one pair 384 0.62% 1 : 161 94.37%
60 K6 KK642 one pair 384 0.62% 1 : 161 93.75%
61 K5 KK542 one pair 384 0.62% 1 : 161 93.14%
62 K3 KK432 one pair 384 0.62% 1 : 161 92.52%
63 QQ KQQ42 one pair 384 0.62% 1 : 161 91.90%
64 JJ KJJ42 one pair 384 0.62% 1 : 161 91.28%
65 TT KTT42 one pair 384 0.62% 1 : 161 90.66%
66 99 K9942 one pair 384 0.62% 1 : 161 90.04%
67 88 K8842 one pair 384 0.62% 1 : 161 89.42%
68 77 K7742 one pair 384 0.62% 1 : 161 88.81%
69 66 K6642 one pair 384 0.62% 1 : 161 88.19%
70 55 K5542 one pair 384 0.62% 1 : 161 87.57%
71 A4 AK442 one pair 384 0.62% 1 : 161 86.95%
72 Q4 KQ442 one pair 384 0.62% 1 : 161 86.33%
73 J4 KJ442 one pair 384 0.62% 1 : 161 85.71%
74 T4 KT442 one pair 384 0.62% 1 : 161 85.09%
75 94 K9442 one pair 384 0.62% 1 : 161 84.47%
76 84 K8442 one pair 384 0.62% 1 : 161 83.86%
77 74 K7442 one pair 384 0.62% 1 : 161 83.24%
78 64 K6442 one pair 384 0.62% 1 : 161 82.62%
79 54 K5442 one pair 384 0.62% 1 : 161 82.00%
80 43 K4432 one pair 384 0.62% 1 : 161 81.38%
81 33 K4332 one pair 384 0.62% 1 : 161 80.76%
82 A2 AK422 one pair 384 0.62% 1 : 161 80.14%
83 Q2 KQ422 one pair 384 0.62% 1 : 161 79.52%
84 J2 KJ422 one pair 384 0.62% 1 : 161 78.91%
85 T2 KT422 one pair 384 0.62% 1 : 161 78.29%
86 92 K9422 one pair 384 0.62% 1 : 161 77.67%
87 82 K8422 one pair 384 0.62% 1 : 161 77.05%
88 72 K7422 one pair 384 0.62% 1 : 161 76.43%
89 62 K6422 one pair 384 0.62% 1 : 161 75.81%
90 52 K5422 one pair 384 0.62% 1 : 161 75.19%
91 32 K4322 one pair 384 0.62% 1 : 161 74.57%
 
92 AQ AKQ42 high card 1,020 1.64% 1 : 59.8 73.96%
93 AJ AKJ42 high card 1,020 1.64% 1 : 59.8 72.31%
94 AT AKT42 high card 1,020 1.64% 1 : 59.8 70.67%
95 A9 AK942 high card 1,020 1.64% 1 : 59.8 69.03%
96 A8 AK842 high card 1,020 1.64% 1 : 59.8 67.38%
97 A7 AK742 high card 1,020 1.64% 1 : 59.8 65.74%
98 A6 AK642 high card 1,020 1.64% 1 : 59.8 64.10%
99 A5 AK542 high card 1,020 1.64% 1 : 59.8 62.45%
100 A3 AK432 high card 1,020 1.64% 1 : 59.8 60.81%
101 QJ KQJ42 high card 1,020 1.64% 1 : 59.8 59.16%
102 QT KQT42 high card 1,020 1.64% 1 : 59.8 57.52%
103 Q9 KQ942 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q8 KQ842 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q7 KQ742 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q6 KQ642 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q5 KQ542 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q3 KQ432 high card 1,020 1.64% 1 : 59.8 47.66%
109 JT KJT42 high card 1,020 1.64% 1 : 59.8 46.02%
110 J9 KJ942 high card 1,020 1.64% 1 : 59.8 44.37%
111 J8 KJ842 high card 1,020 1.64% 1 : 59.8 42.73%
112 J7 KJ742 high card 1,020 1.64% 1 : 59.8 41.09%
113 J6 KJ642 high card 1,020 1.64% 1 : 59.8 39.44%
114 J5 KJ542 high card 1,020 1.64% 1 : 59.8 37.80%
115 J3 KJ432 high card 1,020 1.64% 1 : 59.8 36.16%
116 T9 KT942 high card 1,020 1.64% 1 : 59.8 34.51%
117 T8 KT842 high card 1,020 1.64% 1 : 59.8 32.87%
118 T7 KT742 high card 1,020 1.64% 1 : 59.8 31.23%
119 T6 KT642 high card 1,020 1.64% 1 : 59.8 29.58%
120 T5 KT542 high card 1,020 1.64% 1 : 59.8 27.94%
121 T3 KT432 high card 1,020 1.64% 1 : 59.8 26.30%
122 98 K9842 high card 1,020 1.64% 1 : 59.8 24.65%
123 97 K9742 high card 1,020 1.64% 1 : 59.8 23.01%
124 96 K9642 high card 1,020 1.64% 1 : 59.8 21.37%
125 95 K9542 high card 1,020 1.64% 1 : 59.8 19.72%
126 93 K9432 high card 1,020 1.64% 1 : 59.8 18.08%
127 87 K8742 high card 1,020 1.64% 1 : 59.8 16.43%
128 86 K8642 high card 1,020 1.64% 1 : 59.8 14.79%
129 85 K8542 high card 1,020 1.64% 1 : 59.8 13.15%
130 83 K8432 high card 1,020 1.64% 1 : 59.8 11.50%
131 76 K7642 high card 1,020 1.64% 1 : 59.8 9.86%
132 75 K7542 high card 1,020 1.64% 1 : 59.8 8.22%
133 73 K7432 high card 1,020 1.64% 1 : 59.8 6.57%
134 65 K6542 high card 1,020 1.64% 1 : 59.8 4.93%
135 63 K6432 high card 1,020 1.64% 1 : 59.8 3.29%
136 53 K5432 high card 1,020 1.64% 1 : 59.8 1.64%