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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 AKQ84 flush 4 0.01% 1 : 15515 100.00%
2 AJs AKJ84 flush 4 0.01% 1 : 15515 99.99%
3 ATs AKT84 flush 4 0.01% 1 : 15515 99.99%
4 A9s AK984 flush 4 0.01% 1 : 15515 99.98%
5 A7s AK874 flush 4 0.01% 1 : 15515 99.97%
6 A6s AK864 flush 4 0.01% 1 : 15515 99.97%
7 A5s AK854 flush 4 0.01% 1 : 15515 99.96%
8 A3s AK843 flush 4 0.01% 1 : 15515 99.95%
9 A2s AK842 flush 4 0.01% 1 : 15515 99.95%
10 QJs KQJ84 flush 4 0.01% 1 : 15515 99.94%
11 QTs KQT84 flush 4 0.01% 1 : 15515 99.94%
12 Q9s KQ984 flush 4 0.01% 1 : 15515 99.93%
13 Q7s KQ874 flush 4 0.01% 1 : 15515 99.92%
14 Q6s KQ864 flush 4 0.01% 1 : 15515 99.92%
15 Q5s KQ854 flush 4 0.01% 1 : 15515 99.91%
16 Q3s KQ843 flush 4 0.01% 1 : 15515 99.90%
17 Q2s KQ842 flush 4 0.01% 1 : 15515 99.90%
18 JTs KJT84 flush 4 0.01% 1 : 15515 99.89%
19 J9s KJ984 flush 4 0.01% 1 : 15515 99.88%
20 J7s KJ874 flush 4 0.01% 1 : 15515 99.88%
21 J6s KJ864 flush 4 0.01% 1 : 15515 99.87%
22 J5s KJ854 flush 4 0.01% 1 : 15515 99.86%
23 J3s KJ843 flush 4 0.01% 1 : 15515 99.86%
24 J2s KJ842 flush 4 0.01% 1 : 15515 99.85%
25 T9s KT984 flush 4 0.01% 1 : 15515 99.85%
26 T7s KT874 flush 4 0.01% 1 : 15515 99.84%
27 T6s KT864 flush 4 0.01% 1 : 15515 99.83%
28 T5s KT854 flush 4 0.01% 1 : 15515 99.83%
29 T3s KT843 flush 4 0.01% 1 : 15515 99.82%
30 T2s KT842 flush 4 0.01% 1 : 15515 99.81%
31 97s K9874 flush 4 0.01% 1 : 15515 99.81%
32 96s K9864 flush 4 0.01% 1 : 15515 99.80%
33 95s K9854 flush 4 0.01% 1 : 15515 99.79%
34 93s K9843 flush 4 0.01% 1 : 15515 99.79%
35 92s K9842 flush 4 0.01% 1 : 15515 99.78%
36 76s K8764 flush 4 0.01% 1 : 15515 99.77%
37 75s K8754 flush 4 0.01% 1 : 15515 99.77%
38 73s K8743 flush 4 0.01% 1 : 15515 99.76%
39 72s K8742 flush 4 0.01% 1 : 15515 99.76%
40 65s K8654 flush 4 0.01% 1 : 15515 99.75%
41 63s K8643 flush 4 0.01% 1 : 15515 99.74%
42 62s K8642 flush 4 0.01% 1 : 15515 99.74%
43 53s K8543 flush 4 0.01% 1 : 15515 99.73%
44 52s K8542 flush 4 0.01% 1 : 15515 99.72%
45 32s K8432 flush 4 0.01% 1 : 15515 99.72%
 
46 KK KKK84 three of a kind 64 0.10% 1 : 969 99.71%
47 88 K8884 three of a kind 64 0.10% 1 : 969 99.61%
48 44 K8444 three of a kind 64 0.10% 1 : 969 99.50%
 
49 K8 KK884 two pairs 144 0.23% 1 : 430 99.40%
50 K4 KK844 two pairs 144 0.23% 1 : 430 99.17%
51 84 K8844 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAK84 one pair 384 0.62% 1 : 161 98.70%
53 AK AKK84 one pair 384 0.62% 1 : 161 98.09%
54 KQ KKQ84 one pair 384 0.62% 1 : 161 97.47%
55 KJ KKJ84 one pair 384 0.62% 1 : 161 96.85%
56 KT KKT84 one pair 384 0.62% 1 : 161 96.23%
57 K9 KK984 one pair 384 0.62% 1 : 161 95.61%
58 K7 KK874 one pair 384 0.62% 1 : 161 94.99%
59 K6 KK864 one pair 384 0.62% 1 : 161 94.37%
60 K5 KK854 one pair 384 0.62% 1 : 161 93.75%
61 K3 KK843 one pair 384 0.62% 1 : 161 93.14%
62 K2 KK842 one pair 384 0.62% 1 : 161 92.52%
63 QQ KQQ84 one pair 384 0.62% 1 : 161 91.90%
64 JJ KJJ84 one pair 384 0.62% 1 : 161 91.28%
65 TT KTT84 one pair 384 0.62% 1 : 161 90.66%
66 99 K9984 one pair 384 0.62% 1 : 161 90.04%
67 A8 AK884 one pair 384 0.62% 1 : 161 89.42%
68 Q8 KQ884 one pair 384 0.62% 1 : 161 88.81%
69 J8 KJ884 one pair 384 0.62% 1 : 161 88.19%
70 T8 KT884 one pair 384 0.62% 1 : 161 87.57%
71 98 K9884 one pair 384 0.62% 1 : 161 86.95%
72 87 K8874 one pair 384 0.62% 1 : 161 86.33%
73 86 K8864 one pair 384 0.62% 1 : 161 85.71%
74 85 K8854 one pair 384 0.62% 1 : 161 85.09%
75 83 K8843 one pair 384 0.62% 1 : 161 84.47%
76 82 K8842 one pair 384 0.62% 1 : 161 83.86%
77 77 K8774 one pair 384 0.62% 1 : 161 83.24%
78 66 K8664 one pair 384 0.62% 1 : 161 82.62%
79 55 K8554 one pair 384 0.62% 1 : 161 82.00%
80 A4 AK844 one pair 384 0.62% 1 : 161 81.38%
81 Q4 KQ844 one pair 384 0.62% 1 : 161 80.76%
82 J4 KJ844 one pair 384 0.62% 1 : 161 80.14%
83 T4 KT844 one pair 384 0.62% 1 : 161 79.52%
84 94 K9844 one pair 384 0.62% 1 : 161 78.91%
85 74 K8744 one pair 384 0.62% 1 : 161 78.29%
86 64 K8644 one pair 384 0.62% 1 : 161 77.67%
87 54 K8544 one pair 384 0.62% 1 : 161 77.05%
88 43 K8443 one pair 384 0.62% 1 : 161 76.43%
89 42 K8442 one pair 384 0.62% 1 : 161 75.81%
90 33 K8433 one pair 384 0.62% 1 : 161 75.19%
91 22 K8422 one pair 384 0.62% 1 : 161 74.57%
 
92 AQ AKQ84 high card 1,020 1.64% 1 : 59.8 73.96%
93 AJ AKJ84 high card 1,020 1.64% 1 : 59.8 72.31%
94 AT AKT84 high card 1,020 1.64% 1 : 59.8 70.67%
95 A9 AK984 high card 1,020 1.64% 1 : 59.8 69.03%
96 A7 AK874 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 AK864 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 AK854 high card 1,020 1.64% 1 : 59.8 64.10%
99 A3 AK843 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AK842 high card 1,020 1.64% 1 : 59.8 60.81%
101 QJ KQJ84 high card 1,020 1.64% 1 : 59.8 59.16%
102 QT KQT84 high card 1,020 1.64% 1 : 59.8 57.52%
103 Q9 KQ984 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q7 KQ874 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q6 KQ864 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q5 KQ854 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q3 KQ843 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q2 KQ842 high card 1,020 1.64% 1 : 59.8 47.66%
109 JT KJT84 high card 1,020 1.64% 1 : 59.8 46.02%
110 J9 KJ984 high card 1,020 1.64% 1 : 59.8 44.37%
111 J7 KJ874 high card 1,020 1.64% 1 : 59.8 42.73%
112 J6 KJ864 high card 1,020 1.64% 1 : 59.8 41.09%
113 J5 KJ854 high card 1,020 1.64% 1 : 59.8 39.44%
114 J3 KJ843 high card 1,020 1.64% 1 : 59.8 37.80%
115 J2 KJ842 high card 1,020 1.64% 1 : 59.8 36.16%
116 T9 KT984 high card 1,020 1.64% 1 : 59.8 34.51%
117 T7 KT874 high card 1,020 1.64% 1 : 59.8 32.87%
118 T6 KT864 high card 1,020 1.64% 1 : 59.8 31.23%
119 T5 KT854 high card 1,020 1.64% 1 : 59.8 29.58%
120 T3 KT843 high card 1,020 1.64% 1 : 59.8 27.94%
121 T2 KT842 high card 1,020 1.64% 1 : 59.8 26.30%
122 97 K9874 high card 1,020 1.64% 1 : 59.8 24.65%
123 96 K9864 high card 1,020 1.64% 1 : 59.8 23.01%
124 95 K9854 high card 1,020 1.64% 1 : 59.8 21.37%
125 93 K9843 high card 1,020 1.64% 1 : 59.8 19.72%
126 92 K9842 high card 1,020 1.64% 1 : 59.8 18.08%
127 76 K8764 high card 1,020 1.64% 1 : 59.8 16.43%
128 75 K8754 high card 1,020 1.64% 1 : 59.8 14.79%
129 73 K8743 high card 1,020 1.64% 1 : 59.8 13.15%
130 72 K8742 high card 1,020 1.64% 1 : 59.8 11.50%
131 65 K8654 high card 1,020 1.64% 1 : 59.8 9.86%
132 63 K8643 high card 1,020 1.64% 1 : 59.8 8.22%
133 62 K8642 high card 1,020 1.64% 1 : 59.8 6.57%
134 53 K8543 high card 1,020 1.64% 1 : 59.8 4.93%
135 52 K8542 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 K8432 high card 1,020 1.64% 1 : 59.8 1.64%