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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 AKs AK974 flush 4 0.01% 1 : 15515 100.00%
2 AQs AQ974 flush 4 0.01% 1 : 15515 99.99%
3 AJs AJ974 flush 4 0.01% 1 : 15515 99.99%
4 ATs AT974 flush 4 0.01% 1 : 15515 99.98%
5 A8s A9874 flush 4 0.01% 1 : 15515 99.97%
6 A6s A9764 flush 4 0.01% 1 : 15515 99.97%
7 A5s A9754 flush 4 0.01% 1 : 15515 99.96%
8 A3s A9743 flush 4 0.01% 1 : 15515 99.95%
9 A2s A9742 flush 4 0.01% 1 : 15515 99.95%
10 KQs KQ974 flush 4 0.01% 1 : 15515 99.94%
11 KJs KJ974 flush 4 0.01% 1 : 15515 99.94%
12 KTs KT974 flush 4 0.01% 1 : 15515 99.93%
13 K8s K9874 flush 4 0.01% 1 : 15515 99.92%
14 K6s K9764 flush 4 0.01% 1 : 15515 99.92%
15 K5s K9754 flush 4 0.01% 1 : 15515 99.91%
16 K3s K9743 flush 4 0.01% 1 : 15515 99.90%
17 K2s K9742 flush 4 0.01% 1 : 15515 99.90%
18 QJs QJ974 flush 4 0.01% 1 : 15515 99.89%
19 QTs QT974 flush 4 0.01% 1 : 15515 99.88%
20 Q8s Q9874 flush 4 0.01% 1 : 15515 99.88%
21 Q6s Q9764 flush 4 0.01% 1 : 15515 99.87%
22 Q5s Q9754 flush 4 0.01% 1 : 15515 99.86%
23 Q3s Q9743 flush 4 0.01% 1 : 15515 99.86%
24 Q2s Q9742 flush 4 0.01% 1 : 15515 99.85%
25 JTs JT974 flush 4 0.01% 1 : 15515 99.85%
26 J8s J9874 flush 4 0.01% 1 : 15515 99.84%
27 J6s J9764 flush 4 0.01% 1 : 15515 99.83%
28 J5s J9754 flush 4 0.01% 1 : 15515 99.83%
29 J3s J9743 flush 4 0.01% 1 : 15515 99.82%
30 J2s J9742 flush 4 0.01% 1 : 15515 99.81%
31 T8s T9874 flush 4 0.01% 1 : 15515 99.81%
32 T6s T9764 flush 4 0.01% 1 : 15515 99.80%
33 T5s T9754 flush 4 0.01% 1 : 15515 99.79%
34 T3s T9743 flush 4 0.01% 1 : 15515 99.79%
35 T2s T9742 flush 4 0.01% 1 : 15515 99.78%
36 86s 98764 flush 4 0.01% 1 : 15515 99.77%
37 85s 98754 flush 4 0.01% 1 : 15515 99.77%
38 83s 98743 flush 4 0.01% 1 : 15515 99.76%
39 82s 98742 flush 4 0.01% 1 : 15515 99.76%
40 65s 97654 flush 4 0.01% 1 : 15515 99.75%
41 63s 97643 flush 4 0.01% 1 : 15515 99.74%
42 62s 97642 flush 4 0.01% 1 : 15515 99.74%
43 53s 97543 flush 4 0.01% 1 : 15515 99.73%
44 52s 97542 flush 4 0.01% 1 : 15515 99.72%
45 32s 97432 flush 4 0.01% 1 : 15515 99.72%
 
46 99 99974 three of a kind 64 0.10% 1 : 969 99.71%
47 77 97774 three of a kind 64 0.10% 1 : 969 99.61%
48 44 97444 three of a kind 64 0.10% 1 : 969 99.50%
 
49 97 99774 two pairs 144 0.23% 1 : 430 99.40%
50 94 99744 two pairs 144 0.23% 1 : 430 99.17%
51 74 97744 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AA974 one pair 384 0.62% 1 : 161 98.70%
53 KK KK974 one pair 384 0.62% 1 : 161 98.09%
54 QQ QQ974 one pair 384 0.62% 1 : 161 97.47%
55 JJ JJ974 one pair 384 0.62% 1 : 161 96.85%
56 TT TT974 one pair 384 0.62% 1 : 161 96.23%
57 A9 A9974 one pair 384 0.62% 1 : 161 95.61%
58 K9 K9974 one pair 384 0.62% 1 : 161 94.99%
59 Q9 Q9974 one pair 384 0.62% 1 : 161 94.37%
60 J9 J9974 one pair 384 0.62% 1 : 161 93.75%
61 T9 T9974 one pair 384 0.62% 1 : 161 93.14%
62 98 99874 one pair 384 0.62% 1 : 161 92.52%
63 96 99764 one pair 384 0.62% 1 : 161 91.90%
64 95 99754 one pair 384 0.62% 1 : 161 91.28%
65 93 99743 one pair 384 0.62% 1 : 161 90.66%
66 92 99742 one pair 384 0.62% 1 : 161 90.04%
67 88 98874 one pair 384 0.62% 1 : 161 89.42%
68 A7 A9774 one pair 384 0.62% 1 : 161 88.81%
69 K7 K9774 one pair 384 0.62% 1 : 161 88.19%
70 Q7 Q9774 one pair 384 0.62% 1 : 161 87.57%
71 J7 J9774 one pair 384 0.62% 1 : 161 86.95%
72 T7 T9774 one pair 384 0.62% 1 : 161 86.33%
73 87 98774 one pair 384 0.62% 1 : 161 85.71%
74 76 97764 one pair 384 0.62% 1 : 161 85.09%
75 75 97754 one pair 384 0.62% 1 : 161 84.47%
76 73 97743 one pair 384 0.62% 1 : 161 83.86%
77 72 97742 one pair 384 0.62% 1 : 161 83.24%
78 66 97664 one pair 384 0.62% 1 : 161 82.62%
79 55 97554 one pair 384 0.62% 1 : 161 82.00%
80 A4 A9744 one pair 384 0.62% 1 : 161 81.38%
81 K4 K9744 one pair 384 0.62% 1 : 161 80.76%
82 Q4 Q9744 one pair 384 0.62% 1 : 161 80.14%
83 J4 J9744 one pair 384 0.62% 1 : 161 79.52%
84 T4 T9744 one pair 384 0.62% 1 : 161 78.91%
85 84 98744 one pair 384 0.62% 1 : 161 78.29%
86 64 97644 one pair 384 0.62% 1 : 161 77.67%
87 54 97544 one pair 384 0.62% 1 : 161 77.05%
88 43 97443 one pair 384 0.62% 1 : 161 76.43%
89 42 97442 one pair 384 0.62% 1 : 161 75.81%
90 33 97433 one pair 384 0.62% 1 : 161 75.19%
91 22 97422 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AK974 high card 1,020 1.64% 1 : 59.8 73.96%
93 AQ AQ974 high card 1,020 1.64% 1 : 59.8 72.31%
94 AJ AJ974 high card 1,020 1.64% 1 : 59.8 70.67%
95 AT AT974 high card 1,020 1.64% 1 : 59.8 69.03%
96 A8 A9874 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 A9764 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 A9754 high card 1,020 1.64% 1 : 59.8 64.10%
99 A3 A9743 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 A9742 high card 1,020 1.64% 1 : 59.8 60.81%
101 KQ KQ974 high card 1,020 1.64% 1 : 59.8 59.16%
102 KJ KJ974 high card 1,020 1.64% 1 : 59.8 57.52%
103 KT KT974 high card 1,020 1.64% 1 : 59.8 55.88%
104 K8 K9874 high card 1,020 1.64% 1 : 59.8 54.23%
105 K6 K9764 high card 1,020 1.64% 1 : 59.8 52.59%
106 K5 K9754 high card 1,020 1.64% 1 : 59.8 50.95%
107 K3 K9743 high card 1,020 1.64% 1 : 59.8 49.30%
108 K2 K9742 high card 1,020 1.64% 1 : 59.8 47.66%
109 QJ QJ974 high card 1,020 1.64% 1 : 59.8 46.02%
110 QT QT974 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q8 Q9874 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q6 Q9764 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q5 Q9754 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q3 Q9743 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q2 Q9742 high card 1,020 1.64% 1 : 59.8 36.16%
116 JT JT974 high card 1,020 1.64% 1 : 59.8 34.51%
117 J8 J9874 high card 1,020 1.64% 1 : 59.8 32.87%
118 J6 J9764 high card 1,020 1.64% 1 : 59.8 31.23%
119 J5 J9754 high card 1,020 1.64% 1 : 59.8 29.58%
120 J3 J9743 high card 1,020 1.64% 1 : 59.8 27.94%
121 J2 J9742 high card 1,020 1.64% 1 : 59.8 26.30%
122 T8 T9874 high card 1,020 1.64% 1 : 59.8 24.65%
123 T6 T9764 high card 1,020 1.64% 1 : 59.8 23.01%
124 T5 T9754 high card 1,020 1.64% 1 : 59.8 21.37%
125 T3 T9743 high card 1,020 1.64% 1 : 59.8 19.72%
126 T2 T9742 high card 1,020 1.64% 1 : 59.8 18.08%
127 86 98764 high card 1,020 1.64% 1 : 59.8 16.43%
128 85 98754 high card 1,020 1.64% 1 : 59.8 14.79%
129 83 98743 high card 1,020 1.64% 1 : 59.8 13.15%
130 82 98742 high card 1,020 1.64% 1 : 59.8 11.50%
131 65 97654 high card 1,020 1.64% 1 : 59.8 9.86%
132 63 97643 high card 1,020 1.64% 1 : 59.8 8.22%
133 62 97642 high card 1,020 1.64% 1 : 59.8 6.57%
134 53 97543 high card 1,020 1.64% 1 : 59.8 4.93%
135 52 97542 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 97432 high card 1,020 1.64% 1 : 59.8 1.64%