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 AKQ62 flush 4 0.01% 1 : 15515 100.00%
2 AJs AKJ62 flush 4 0.01% 1 : 15515 99.99%
3 ATs AKT62 flush 4 0.01% 1 : 15515 99.99%
4 A9s AK962 flush 4 0.01% 1 : 15515 99.98%
5 A8s AK862 flush 4 0.01% 1 : 15515 99.97%
6 A7s AK762 flush 4 0.01% 1 : 15515 99.97%
7 A5s AK652 flush 4 0.01% 1 : 15515 99.96%
8 A4s AK642 flush 4 0.01% 1 : 15515 99.95%
9 A3s AK632 flush 4 0.01% 1 : 15515 99.95%
10 QJs KQJ62 flush 4 0.01% 1 : 15515 99.94%
11 QTs KQT62 flush 4 0.01% 1 : 15515 99.94%
12 Q9s KQ962 flush 4 0.01% 1 : 15515 99.93%
13 Q8s KQ862 flush 4 0.01% 1 : 15515 99.92%
14 Q7s KQ762 flush 4 0.01% 1 : 15515 99.92%
15 Q5s KQ652 flush 4 0.01% 1 : 15515 99.91%
16 Q4s KQ642 flush 4 0.01% 1 : 15515 99.90%
17 Q3s KQ632 flush 4 0.01% 1 : 15515 99.90%
18 JTs KJT62 flush 4 0.01% 1 : 15515 99.89%
19 J9s KJ962 flush 4 0.01% 1 : 15515 99.88%
20 J8s KJ862 flush 4 0.01% 1 : 15515 99.88%
21 J7s KJ762 flush 4 0.01% 1 : 15515 99.87%
22 J5s KJ652 flush 4 0.01% 1 : 15515 99.86%
23 J4s KJ642 flush 4 0.01% 1 : 15515 99.86%
24 J3s KJ632 flush 4 0.01% 1 : 15515 99.85%
25 T9s KT962 flush 4 0.01% 1 : 15515 99.85%
26 T8s KT862 flush 4 0.01% 1 : 15515 99.84%
27 T7s KT762 flush 4 0.01% 1 : 15515 99.83%
28 T5s KT652 flush 4 0.01% 1 : 15515 99.83%
29 T4s KT642 flush 4 0.01% 1 : 15515 99.82%
30 T3s KT632 flush 4 0.01% 1 : 15515 99.81%
31 98s K9862 flush 4 0.01% 1 : 15515 99.81%
32 97s K9762 flush 4 0.01% 1 : 15515 99.80%
33 95s K9652 flush 4 0.01% 1 : 15515 99.79%
34 94s K9642 flush 4 0.01% 1 : 15515 99.79%
35 93s K9632 flush 4 0.01% 1 : 15515 99.78%
36 87s K8762 flush 4 0.01% 1 : 15515 99.77%
37 85s K8652 flush 4 0.01% 1 : 15515 99.77%
38 84s K8642 flush 4 0.01% 1 : 15515 99.76%
39 83s K8632 flush 4 0.01% 1 : 15515 99.76%
40 75s K7652 flush 4 0.01% 1 : 15515 99.75%
41 74s K7642 flush 4 0.01% 1 : 15515 99.74%
42 73s K7632 flush 4 0.01% 1 : 15515 99.74%
43 54s K6542 flush 4 0.01% 1 : 15515 99.73%
44 53s K6532 flush 4 0.01% 1 : 15515 99.72%
45 43s K6432 flush 4 0.01% 1 : 15515 99.72%
 
46 KK KKK62 three of a kind 64 0.10% 1 : 969 99.71%
47 66 K6662 three of a kind 64 0.10% 1 : 969 99.61%
48 22 K6222 three of a kind 64 0.10% 1 : 969 99.50%
 
49 K6 KK662 two pairs 144 0.23% 1 : 430 99.40%
50 K2 KK622 two pairs 144 0.23% 1 : 430 99.17%
51 62 K6622 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAK62 one pair 384 0.62% 1 : 161 98.70%
53 AK AKK62 one pair 384 0.62% 1 : 161 98.09%
54 KQ KKQ62 one pair 384 0.62% 1 : 161 97.47%
55 KJ KKJ62 one pair 384 0.62% 1 : 161 96.85%
56 KT KKT62 one pair 384 0.62% 1 : 161 96.23%
57 K9 KK962 one pair 384 0.62% 1 : 161 95.61%
58 K8 KK862 one pair 384 0.62% 1 : 161 94.99%
59 K7 KK762 one pair 384 0.62% 1 : 161 94.37%
60 K5 KK652 one pair 384 0.62% 1 : 161 93.75%
61 K4 KK642 one pair 384 0.62% 1 : 161 93.14%
62 K3 KK632 one pair 384 0.62% 1 : 161 92.52%
63 QQ KQQ62 one pair 384 0.62% 1 : 161 91.90%
64 JJ KJJ62 one pair 384 0.62% 1 : 161 91.28%
65 TT KTT62 one pair 384 0.62% 1 : 161 90.66%
66 99 K9962 one pair 384 0.62% 1 : 161 90.04%
67 88 K8862 one pair 384 0.62% 1 : 161 89.42%
68 77 K7762 one pair 384 0.62% 1 : 161 88.81%
69 A6 AK662 one pair 384 0.62% 1 : 161 88.19%
70 Q6 KQ662 one pair 384 0.62% 1 : 161 87.57%
71 J6 KJ662 one pair 384 0.62% 1 : 161 86.95%
72 T6 KT662 one pair 384 0.62% 1 : 161 86.33%
73 96 K9662 one pair 384 0.62% 1 : 161 85.71%
74 86 K8662 one pair 384 0.62% 1 : 161 85.09%
75 76 K7662 one pair 384 0.62% 1 : 161 84.47%
76 65 K6652 one pair 384 0.62% 1 : 161 83.86%
77 64 K6642 one pair 384 0.62% 1 : 161 83.24%
78 63 K6632 one pair 384 0.62% 1 : 161 82.62%
79 55 K6552 one pair 384 0.62% 1 : 161 82.00%
80 44 K6442 one pair 384 0.62% 1 : 161 81.38%
81 33 K6332 one pair 384 0.62% 1 : 161 80.76%
82 A2 AK622 one pair 384 0.62% 1 : 161 80.14%
83 Q2 KQ622 one pair 384 0.62% 1 : 161 79.52%
84 J2 KJ622 one pair 384 0.62% 1 : 161 78.91%
85 T2 KT622 one pair 384 0.62% 1 : 161 78.29%
86 92 K9622 one pair 384 0.62% 1 : 161 77.67%
87 82 K8622 one pair 384 0.62% 1 : 161 77.05%
88 72 K7622 one pair 384 0.62% 1 : 161 76.43%
89 52 K6522 one pair 384 0.62% 1 : 161 75.81%
90 42 K6422 one pair 384 0.62% 1 : 161 75.19%
91 32 K6322 one pair 384 0.62% 1 : 161 74.57%
 
92 AQ AKQ62 high card 1,020 1.64% 1 : 59.8 73.96%
93 AJ AKJ62 high card 1,020 1.64% 1 : 59.8 72.31%
94 AT AKT62 high card 1,020 1.64% 1 : 59.8 70.67%
95 A9 AK962 high card 1,020 1.64% 1 : 59.8 69.03%
96 A8 AK862 high card 1,020 1.64% 1 : 59.8 67.38%
97 A7 AK762 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 AK652 high card 1,020 1.64% 1 : 59.8 64.10%
99 A4 AK642 high card 1,020 1.64% 1 : 59.8 62.45%
100 A3 AK632 high card 1,020 1.64% 1 : 59.8 60.81%
101 QJ KQJ62 high card 1,020 1.64% 1 : 59.8 59.16%
102 QT KQT62 high card 1,020 1.64% 1 : 59.8 57.52%
103 Q9 KQ962 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q8 KQ862 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q7 KQ762 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q5 KQ652 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q4 KQ642 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q3 KQ632 high card 1,020 1.64% 1 : 59.8 47.66%
109 JT KJT62 high card 1,020 1.64% 1 : 59.8 46.02%
110 J9 KJ962 high card 1,020 1.64% 1 : 59.8 44.37%
111 J8 KJ862 high card 1,020 1.64% 1 : 59.8 42.73%
112 J7 KJ762 high card 1,020 1.64% 1 : 59.8 41.09%
113 J5 KJ652 high card 1,020 1.64% 1 : 59.8 39.44%
114 J4 KJ642 high card 1,020 1.64% 1 : 59.8 37.80%
115 J3 KJ632 high card 1,020 1.64% 1 : 59.8 36.16%
116 T9 KT962 high card 1,020 1.64% 1 : 59.8 34.51%
117 T8 KT862 high card 1,020 1.64% 1 : 59.8 32.87%
118 T7 KT762 high card 1,020 1.64% 1 : 59.8 31.23%
119 T5 KT652 high card 1,020 1.64% 1 : 59.8 29.58%
120 T4 KT642 high card 1,020 1.64% 1 : 59.8 27.94%
121 T3 KT632 high card 1,020 1.64% 1 : 59.8 26.30%
122 98 K9862 high card 1,020 1.64% 1 : 59.8 24.65%
123 97 K9762 high card 1,020 1.64% 1 : 59.8 23.01%
124 95 K9652 high card 1,020 1.64% 1 : 59.8 21.37%
125 94 K9642 high card 1,020 1.64% 1 : 59.8 19.72%
126 93 K9632 high card 1,020 1.64% 1 : 59.8 18.08%
127 87 K8762 high card 1,020 1.64% 1 : 59.8 16.43%
128 85 K8652 high card 1,020 1.64% 1 : 59.8 14.79%
129 84 K8642 high card 1,020 1.64% 1 : 59.8 13.15%
130 83 K8632 high card 1,020 1.64% 1 : 59.8 11.50%
131 75 K7652 high card 1,020 1.64% 1 : 59.8 9.86%
132 74 K7642 high card 1,020 1.64% 1 : 59.8 8.22%
133 73 K7632 high card 1,020 1.64% 1 : 59.8 6.57%
134 54 K6542 high card 1,020 1.64% 1 : 59.8 4.93%
135 53 K6532 high card 1,020 1.64% 1 : 59.8 3.29%
136 43 K6432 high card 1,020 1.64% 1 : 59.8 1.64%