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 AK742 flush 4 0.01% 1 : 15515 100.00%
2 AQs AQ742 flush 4 0.01% 1 : 15515 99.99%
3 AJs AJ742 flush 4 0.01% 1 : 15515 99.99%
4 ATs AT742 flush 4 0.01% 1 : 15515 99.98%
5 A9s A9742 flush 4 0.01% 1 : 15515 99.97%
6 A8s A8742 flush 4 0.01% 1 : 15515 99.97%
7 A6s A7642 flush 4 0.01% 1 : 15515 99.96%
8 A5s A7542 flush 4 0.01% 1 : 15515 99.95%
9 A3s A7432 flush 4 0.01% 1 : 15515 99.95%
10 KQs KQ742 flush 4 0.01% 1 : 15515 99.94%
11 KJs KJ742 flush 4 0.01% 1 : 15515 99.94%
12 KTs KT742 flush 4 0.01% 1 : 15515 99.93%
13 K9s K9742 flush 4 0.01% 1 : 15515 99.92%
14 K8s K8742 flush 4 0.01% 1 : 15515 99.92%
15 K6s K7642 flush 4 0.01% 1 : 15515 99.91%
16 K5s K7542 flush 4 0.01% 1 : 15515 99.90%
17 K3s K7432 flush 4 0.01% 1 : 15515 99.90%
18 QJs QJ742 flush 4 0.01% 1 : 15515 99.89%
19 QTs QT742 flush 4 0.01% 1 : 15515 99.88%
20 Q9s Q9742 flush 4 0.01% 1 : 15515 99.88%
21 Q8s Q8742 flush 4 0.01% 1 : 15515 99.87%
22 Q6s Q7642 flush 4 0.01% 1 : 15515 99.86%
23 Q5s Q7542 flush 4 0.01% 1 : 15515 99.86%
24 Q3s Q7432 flush 4 0.01% 1 : 15515 99.85%
25 JTs JT742 flush 4 0.01% 1 : 15515 99.85%
26 J9s J9742 flush 4 0.01% 1 : 15515 99.84%
27 J8s J8742 flush 4 0.01% 1 : 15515 99.83%
28 J6s J7642 flush 4 0.01% 1 : 15515 99.83%
29 J5s J7542 flush 4 0.01% 1 : 15515 99.82%
30 J3s J7432 flush 4 0.01% 1 : 15515 99.81%
31 T9s T9742 flush 4 0.01% 1 : 15515 99.81%
32 T8s T8742 flush 4 0.01% 1 : 15515 99.80%
33 T6s T7642 flush 4 0.01% 1 : 15515 99.79%
34 T5s T7542 flush 4 0.01% 1 : 15515 99.79%
35 T3s T7432 flush 4 0.01% 1 : 15515 99.78%
36 98s 98742 flush 4 0.01% 1 : 15515 99.77%
37 96s 97642 flush 4 0.01% 1 : 15515 99.77%
38 95s 97542 flush 4 0.01% 1 : 15515 99.76%
39 93s 97432 flush 4 0.01% 1 : 15515 99.76%
40 86s 87642 flush 4 0.01% 1 : 15515 99.75%
41 85s 87542 flush 4 0.01% 1 : 15515 99.74%
42 83s 87432 flush 4 0.01% 1 : 15515 99.74%
43 65s 76542 flush 4 0.01% 1 : 15515 99.73%
44 63s 76432 flush 4 0.01% 1 : 15515 99.72%
45 53s 75432 flush 4 0.01% 1 : 15515 99.72%
 
46 77 77742 three of a kind 64 0.10% 1 : 969 99.71%
47 44 74442 three of a kind 64 0.10% 1 : 969 99.61%
48 22 74222 three of a kind 64 0.10% 1 : 969 99.50%
 
49 74 77442 two pairs 144 0.23% 1 : 430 99.40%
50 72 77422 two pairs 144 0.23% 1 : 430 99.17%
51 42 74422 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AA742 one pair 384 0.62% 1 : 161 98.70%
53 KK KK742 one pair 384 0.62% 1 : 161 98.09%
54 QQ QQ742 one pair 384 0.62% 1 : 161 97.47%
55 JJ JJ742 one pair 384 0.62% 1 : 161 96.85%
56 TT TT742 one pair 384 0.62% 1 : 161 96.23%
57 99 99742 one pair 384 0.62% 1 : 161 95.61%
58 88 88742 one pair 384 0.62% 1 : 161 94.99%
59 A7 A7742 one pair 384 0.62% 1 : 161 94.37%
60 K7 K7742 one pair 384 0.62% 1 : 161 93.75%
61 Q7 Q7742 one pair 384 0.62% 1 : 161 93.14%
62 J7 J7742 one pair 384 0.62% 1 : 161 92.52%
63 T7 T7742 one pair 384 0.62% 1 : 161 91.90%
64 97 97742 one pair 384 0.62% 1 : 161 91.28%
65 87 87742 one pair 384 0.62% 1 : 161 90.66%
66 76 77642 one pair 384 0.62% 1 : 161 90.04%
67 75 77542 one pair 384 0.62% 1 : 161 89.42%
68 73 77432 one pair 384 0.62% 1 : 161 88.81%
69 66 76642 one pair 384 0.62% 1 : 161 88.19%
70 55 75542 one pair 384 0.62% 1 : 161 87.57%
71 A4 A7442 one pair 384 0.62% 1 : 161 86.95%
72 K4 K7442 one pair 384 0.62% 1 : 161 86.33%
73 Q4 Q7442 one pair 384 0.62% 1 : 161 85.71%
74 J4 J7442 one pair 384 0.62% 1 : 161 85.09%
75 T4 T7442 one pair 384 0.62% 1 : 161 84.47%
76 94 97442 one pair 384 0.62% 1 : 161 83.86%
77 84 87442 one pair 384 0.62% 1 : 161 83.24%
78 64 76442 one pair 384 0.62% 1 : 161 82.62%
79 54 75442 one pair 384 0.62% 1 : 161 82.00%
80 43 74432 one pair 384 0.62% 1 : 161 81.38%
81 33 74332 one pair 384 0.62% 1 : 161 80.76%
82 A2 A7422 one pair 384 0.62% 1 : 161 80.14%
83 K2 K7422 one pair 384 0.62% 1 : 161 79.52%
84 Q2 Q7422 one pair 384 0.62% 1 : 161 78.91%
85 J2 J7422 one pair 384 0.62% 1 : 161 78.29%
86 T2 T7422 one pair 384 0.62% 1 : 161 77.67%
87 92 97422 one pair 384 0.62% 1 : 161 77.05%
88 82 87422 one pair 384 0.62% 1 : 161 76.43%
89 62 76422 one pair 384 0.62% 1 : 161 75.81%
90 52 75422 one pair 384 0.62% 1 : 161 75.19%
91 32 74322 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AK742 high card 1,020 1.64% 1 : 59.8 73.96%
93 AQ AQ742 high card 1,020 1.64% 1 : 59.8 72.31%
94 AJ AJ742 high card 1,020 1.64% 1 : 59.8 70.67%
95 AT AT742 high card 1,020 1.64% 1 : 59.8 69.03%
96 A9 A9742 high card 1,020 1.64% 1 : 59.8 67.38%
97 A8 A8742 high card 1,020 1.64% 1 : 59.8 65.74%
98 A6 A7642 high card 1,020 1.64% 1 : 59.8 64.10%
99 A5 A7542 high card 1,020 1.64% 1 : 59.8 62.45%
100 A3 A7432 high card 1,020 1.64% 1 : 59.8 60.81%
101 KQ KQ742 high card 1,020 1.64% 1 : 59.8 59.16%
102 KJ KJ742 high card 1,020 1.64% 1 : 59.8 57.52%
103 KT KT742 high card 1,020 1.64% 1 : 59.8 55.88%
104 K9 K9742 high card 1,020 1.64% 1 : 59.8 54.23%
105 K8 K8742 high card 1,020 1.64% 1 : 59.8 52.59%
106 K6 K7642 high card 1,020 1.64% 1 : 59.8 50.95%
107 K5 K7542 high card 1,020 1.64% 1 : 59.8 49.30%
108 K3 K7432 high card 1,020 1.64% 1 : 59.8 47.66%
109 QJ QJ742 high card 1,020 1.64% 1 : 59.8 46.02%
110 QT QT742 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q9 Q9742 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q8 Q8742 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q6 Q7642 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q5 Q7542 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q3 Q7432 high card 1,020 1.64% 1 : 59.8 36.16%
116 JT JT742 high card 1,020 1.64% 1 : 59.8 34.51%
117 J9 J9742 high card 1,020 1.64% 1 : 59.8 32.87%
118 J8 J8742 high card 1,020 1.64% 1 : 59.8 31.23%
119 J6 J7642 high card 1,020 1.64% 1 : 59.8 29.58%
120 J5 J7542 high card 1,020 1.64% 1 : 59.8 27.94%
121 J3 J7432 high card 1,020 1.64% 1 : 59.8 26.30%
122 T9 T9742 high card 1,020 1.64% 1 : 59.8 24.65%
123 T8 T8742 high card 1,020 1.64% 1 : 59.8 23.01%
124 T6 T7642 high card 1,020 1.64% 1 : 59.8 21.37%
125 T5 T7542 high card 1,020 1.64% 1 : 59.8 19.72%
126 T3 T7432 high card 1,020 1.64% 1 : 59.8 18.08%
127 98 98742 high card 1,020 1.64% 1 : 59.8 16.43%
128 96 97642 high card 1,020 1.64% 1 : 59.8 14.79%
129 95 97542 high card 1,020 1.64% 1 : 59.8 13.15%
130 93 97432 high card 1,020 1.64% 1 : 59.8 11.50%
131 86 87642 high card 1,020 1.64% 1 : 59.8 9.86%
132 85 87542 high card 1,020 1.64% 1 : 59.8 8.22%
133 83 87432 high card 1,020 1.64% 1 : 59.8 6.57%
134 65 76542 high card 1,020 1.64% 1 : 59.8 4.93%
135 63 76432 high card 1,020 1.64% 1 : 59.8 3.29%
136 53 75432 high card 1,020 1.64% 1 : 59.8 1.64%