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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 AKQ84 flush 4 0.01% 1 : 15515 100.00%
2 AJs AQJ84 flush 4 0.01% 1 : 15515 99.99%
3 ATs AQT84 flush 4 0.01% 1 : 15515 99.99%
4 A9s AQ984 flush 4 0.01% 1 : 15515 99.98%
5 A7s AQ874 flush 4 0.01% 1 : 15515 99.97%
6 A6s AQ864 flush 4 0.01% 1 : 15515 99.97%
7 A5s AQ854 flush 4 0.01% 1 : 15515 99.96%
8 A3s AQ843 flush 4 0.01% 1 : 15515 99.95%
9 A2s AQ842 flush 4 0.01% 1 : 15515 99.95%
10 KJs KQJ84 flush 4 0.01% 1 : 15515 99.94%
11 KTs KQT84 flush 4 0.01% 1 : 15515 99.94%
12 K9s KQ984 flush 4 0.01% 1 : 15515 99.93%
13 K7s KQ874 flush 4 0.01% 1 : 15515 99.92%
14 K6s KQ864 flush 4 0.01% 1 : 15515 99.92%
15 K5s KQ854 flush 4 0.01% 1 : 15515 99.91%
16 K3s KQ843 flush 4 0.01% 1 : 15515 99.90%
17 K2s KQ842 flush 4 0.01% 1 : 15515 99.90%
18 JTs QJT84 flush 4 0.01% 1 : 15515 99.89%
19 J9s QJ984 flush 4 0.01% 1 : 15515 99.88%
20 J7s QJ874 flush 4 0.01% 1 : 15515 99.88%
21 J6s QJ864 flush 4 0.01% 1 : 15515 99.87%
22 J5s QJ854 flush 4 0.01% 1 : 15515 99.86%
23 J3s QJ843 flush 4 0.01% 1 : 15515 99.86%
24 J2s QJ842 flush 4 0.01% 1 : 15515 99.85%
25 T9s QT984 flush 4 0.01% 1 : 15515 99.85%
26 T7s QT874 flush 4 0.01% 1 : 15515 99.84%
27 T6s QT864 flush 4 0.01% 1 : 15515 99.83%
28 T5s QT854 flush 4 0.01% 1 : 15515 99.83%
29 T3s QT843 flush 4 0.01% 1 : 15515 99.82%
30 T2s QT842 flush 4 0.01% 1 : 15515 99.81%
31 97s Q9874 flush 4 0.01% 1 : 15515 99.81%
32 96s Q9864 flush 4 0.01% 1 : 15515 99.80%
33 95s Q9854 flush 4 0.01% 1 : 15515 99.79%
34 93s Q9843 flush 4 0.01% 1 : 15515 99.79%
35 92s Q9842 flush 4 0.01% 1 : 15515 99.78%
36 76s Q8764 flush 4 0.01% 1 : 15515 99.77%
37 75s Q8754 flush 4 0.01% 1 : 15515 99.77%
38 73s Q8743 flush 4 0.01% 1 : 15515 99.76%
39 72s Q8742 flush 4 0.01% 1 : 15515 99.76%
40 65s Q8654 flush 4 0.01% 1 : 15515 99.75%
41 63s Q8643 flush 4 0.01% 1 : 15515 99.74%
42 62s Q8642 flush 4 0.01% 1 : 15515 99.74%
43 53s Q8543 flush 4 0.01% 1 : 15515 99.73%
44 52s Q8542 flush 4 0.01% 1 : 15515 99.72%
45 32s Q8432 flush 4 0.01% 1 : 15515 99.72%
 
46 QQ QQQ84 three of a kind 64 0.10% 1 : 969 99.71%
47 88 Q8884 three of a kind 64 0.10% 1 : 969 99.61%
48 44 Q8444 three of a kind 64 0.10% 1 : 969 99.50%
 
49 Q8 QQ884 two pairs 144 0.23% 1 : 430 99.40%
50 Q4 QQ844 two pairs 144 0.23% 1 : 430 99.17%
51 84 Q8844 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAQ84 one pair 384 0.62% 1 : 161 98.70%
53 KK KKQ84 one pair 384 0.62% 1 : 161 98.09%
54 AQ AQQ84 one pair 384 0.62% 1 : 161 97.47%
55 KQ KQQ84 one pair 384 0.62% 1 : 161 96.85%
56 QJ QQJ84 one pair 384 0.62% 1 : 161 96.23%
57 QT QQT84 one pair 384 0.62% 1 : 161 95.61%
58 Q9 QQ984 one pair 384 0.62% 1 : 161 94.99%
59 Q7 QQ874 one pair 384 0.62% 1 : 161 94.37%
60 Q6 QQ864 one pair 384 0.62% 1 : 161 93.75%
61 Q5 QQ854 one pair 384 0.62% 1 : 161 93.14%
62 Q3 QQ843 one pair 384 0.62% 1 : 161 92.52%
63 Q2 QQ842 one pair 384 0.62% 1 : 161 91.90%
64 JJ QJJ84 one pair 384 0.62% 1 : 161 91.28%
65 TT QTT84 one pair 384 0.62% 1 : 161 90.66%
66 99 Q9984 one pair 384 0.62% 1 : 161 90.04%
67 A8 AQ884 one pair 384 0.62% 1 : 161 89.42%
68 K8 KQ884 one pair 384 0.62% 1 : 161 88.81%
69 J8 QJ884 one pair 384 0.62% 1 : 161 88.19%
70 T8 QT884 one pair 384 0.62% 1 : 161 87.57%
71 98 Q9884 one pair 384 0.62% 1 : 161 86.95%
72 87 Q8874 one pair 384 0.62% 1 : 161 86.33%
73 86 Q8864 one pair 384 0.62% 1 : 161 85.71%
74 85 Q8854 one pair 384 0.62% 1 : 161 85.09%
75 83 Q8843 one pair 384 0.62% 1 : 161 84.47%
76 82 Q8842 one pair 384 0.62% 1 : 161 83.86%
77 77 Q8774 one pair 384 0.62% 1 : 161 83.24%
78 66 Q8664 one pair 384 0.62% 1 : 161 82.62%
79 55 Q8554 one pair 384 0.62% 1 : 161 82.00%
80 A4 AQ844 one pair 384 0.62% 1 : 161 81.38%
81 K4 KQ844 one pair 384 0.62% 1 : 161 80.76%
82 J4 QJ844 one pair 384 0.62% 1 : 161 80.14%
83 T4 QT844 one pair 384 0.62% 1 : 161 79.52%
84 94 Q9844 one pair 384 0.62% 1 : 161 78.91%
85 74 Q8744 one pair 384 0.62% 1 : 161 78.29%
86 64 Q8644 one pair 384 0.62% 1 : 161 77.67%
87 54 Q8544 one pair 384 0.62% 1 : 161 77.05%
88 43 Q8443 one pair 384 0.62% 1 : 161 76.43%
89 42 Q8442 one pair 384 0.62% 1 : 161 75.81%
90 33 Q8433 one pair 384 0.62% 1 : 161 75.19%
91 22 Q8422 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKQ84 high card 1,020 1.64% 1 : 59.8 73.96%
93 AJ AQJ84 high card 1,020 1.64% 1 : 59.8 72.31%
94 AT AQT84 high card 1,020 1.64% 1 : 59.8 70.67%
95 A9 AQ984 high card 1,020 1.64% 1 : 59.8 69.03%
96 A7 AQ874 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 AQ864 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 AQ854 high card 1,020 1.64% 1 : 59.8 64.10%
99 A3 AQ843 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AQ842 high card 1,020 1.64% 1 : 59.8 60.81%
101 KJ KQJ84 high card 1,020 1.64% 1 : 59.8 59.16%
102 KT KQT84 high card 1,020 1.64% 1 : 59.8 57.52%
103 K9 KQ984 high card 1,020 1.64% 1 : 59.8 55.88%
104 K7 KQ874 high card 1,020 1.64% 1 : 59.8 54.23%
105 K6 KQ864 high card 1,020 1.64% 1 : 59.8 52.59%
106 K5 KQ854 high card 1,020 1.64% 1 : 59.8 50.95%
107 K3 KQ843 high card 1,020 1.64% 1 : 59.8 49.30%
108 K2 KQ842 high card 1,020 1.64% 1 : 59.8 47.66%
109 JT QJT84 high card 1,020 1.64% 1 : 59.8 46.02%
110 J9 QJ984 high card 1,020 1.64% 1 : 59.8 44.37%
111 J7 QJ874 high card 1,020 1.64% 1 : 59.8 42.73%
112 J6 QJ864 high card 1,020 1.64% 1 : 59.8 41.09%
113 J5 QJ854 high card 1,020 1.64% 1 : 59.8 39.44%
114 J3 QJ843 high card 1,020 1.64% 1 : 59.8 37.80%
115 J2 QJ842 high card 1,020 1.64% 1 : 59.8 36.16%
116 T9 QT984 high card 1,020 1.64% 1 : 59.8 34.51%
117 T7 QT874 high card 1,020 1.64% 1 : 59.8 32.87%
118 T6 QT864 high card 1,020 1.64% 1 : 59.8 31.23%
119 T5 QT854 high card 1,020 1.64% 1 : 59.8 29.58%
120 T3 QT843 high card 1,020 1.64% 1 : 59.8 27.94%
121 T2 QT842 high card 1,020 1.64% 1 : 59.8 26.30%
122 97 Q9874 high card 1,020 1.64% 1 : 59.8 24.65%
123 96 Q9864 high card 1,020 1.64% 1 : 59.8 23.01%
124 95 Q9854 high card 1,020 1.64% 1 : 59.8 21.37%
125 93 Q9843 high card 1,020 1.64% 1 : 59.8 19.72%
126 92 Q9842 high card 1,020 1.64% 1 : 59.8 18.08%
127 76 Q8764 high card 1,020 1.64% 1 : 59.8 16.43%
128 75 Q8754 high card 1,020 1.64% 1 : 59.8 14.79%
129 73 Q8743 high card 1,020 1.64% 1 : 59.8 13.15%
130 72 Q8742 high card 1,020 1.64% 1 : 59.8 11.50%
131 65 Q8654 high card 1,020 1.64% 1 : 59.8 9.86%
132 63 Q8643 high card 1,020 1.64% 1 : 59.8 8.22%
133 62 Q8642 high card 1,020 1.64% 1 : 59.8 6.57%
134 53 Q8543 high card 1,020 1.64% 1 : 59.8 4.93%
135 52 Q8542 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 Q8432 high card 1,020 1.64% 1 : 59.8 1.64%