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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 KQs AKQ84 flush 4 0.01% 1 : 15515 100.00%
2 KJs AKJ84 flush 4 0.01% 1 : 15515 99.99%
3 KTs AKT84 flush 4 0.01% 1 : 15515 99.99%
4 K9s AK984 flush 4 0.01% 1 : 15515 99.98%
5 K7s AK874 flush 4 0.01% 1 : 15515 99.97%
6 K6s AK864 flush 4 0.01% 1 : 15515 99.97%
7 K5s AK854 flush 4 0.01% 1 : 15515 99.96%
8 K3s AK843 flush 4 0.01% 1 : 15515 99.95%
9 K2s AK842 flush 4 0.01% 1 : 15515 99.95%
10 QJs AQJ84 flush 4 0.01% 1 : 15515 99.94%
11 QTs AQT84 flush 4 0.01% 1 : 15515 99.94%
12 Q9s AQ984 flush 4 0.01% 1 : 15515 99.93%
13 Q7s AQ874 flush 4 0.01% 1 : 15515 99.92%
14 Q6s AQ864 flush 4 0.01% 1 : 15515 99.92%
15 Q5s AQ854 flush 4 0.01% 1 : 15515 99.91%
16 Q3s AQ843 flush 4 0.01% 1 : 15515 99.90%
17 Q2s AQ842 flush 4 0.01% 1 : 15515 99.90%
18 JTs AJT84 flush 4 0.01% 1 : 15515 99.89%
19 J9s AJ984 flush 4 0.01% 1 : 15515 99.88%
20 J7s AJ874 flush 4 0.01% 1 : 15515 99.88%
21 J6s AJ864 flush 4 0.01% 1 : 15515 99.87%
22 J5s AJ854 flush 4 0.01% 1 : 15515 99.86%
23 J3s AJ843 flush 4 0.01% 1 : 15515 99.86%
24 J2s AJ842 flush 4 0.01% 1 : 15515 99.85%
25 T9s AT984 flush 4 0.01% 1 : 15515 99.85%
26 T7s AT874 flush 4 0.01% 1 : 15515 99.84%
27 T6s AT864 flush 4 0.01% 1 : 15515 99.83%
28 T5s AT854 flush 4 0.01% 1 : 15515 99.83%
29 T3s AT843 flush 4 0.01% 1 : 15515 99.82%
30 T2s AT842 flush 4 0.01% 1 : 15515 99.81%
31 97s A9874 flush 4 0.01% 1 : 15515 99.81%
32 96s A9864 flush 4 0.01% 1 : 15515 99.80%
33 95s A9854 flush 4 0.01% 1 : 15515 99.79%
34 93s A9843 flush 4 0.01% 1 : 15515 99.79%
35 92s A9842 flush 4 0.01% 1 : 15515 99.78%
36 76s A8764 flush 4 0.01% 1 : 15515 99.77%
37 75s A8754 flush 4 0.01% 1 : 15515 99.77%
38 73s A8743 flush 4 0.01% 1 : 15515 99.76%
39 72s A8742 flush 4 0.01% 1 : 15515 99.76%
40 65s A8654 flush 4 0.01% 1 : 15515 99.75%
41 63s A8643 flush 4 0.01% 1 : 15515 99.74%
42 62s A8642 flush 4 0.01% 1 : 15515 99.74%
43 53s A8543 flush 4 0.01% 1 : 15515 99.73%
44 52s A8542 flush 4 0.01% 1 : 15515 99.72%
45 32s A8432 flush 4 0.01% 1 : 15515 99.72%
 
46 AA AAA84 three of a kind 64 0.10% 1 : 969 99.71%
47 88 A8884 three of a kind 64 0.10% 1 : 969 99.61%
48 44 A8444 three of a kind 64 0.10% 1 : 969 99.50%
 
49 A8 AA884 two pairs 144 0.23% 1 : 430 99.40%
50 A4 AA844 two pairs 144 0.23% 1 : 430 99.17%
51 84 A8844 two pairs 144 0.23% 1 : 430 98.94%
 
52 AK AAK84 one pair 384 0.62% 1 : 161 98.70%
53 AQ AAQ84 one pair 384 0.62% 1 : 161 98.09%
54 AJ AAJ84 one pair 384 0.62% 1 : 161 97.47%
55 AT AAT84 one pair 384 0.62% 1 : 161 96.85%
56 A9 AA984 one pair 384 0.62% 1 : 161 96.23%
57 A7 AA874 one pair 384 0.62% 1 : 161 95.61%
58 A6 AA864 one pair 384 0.62% 1 : 161 94.99%
59 A5 AA854 one pair 384 0.62% 1 : 161 94.37%
60 A3 AA843 one pair 384 0.62% 1 : 161 93.75%
61 A2 AA842 one pair 384 0.62% 1 : 161 93.14%
62 KK AKK84 one pair 384 0.62% 1 : 161 92.52%
63 QQ AQQ84 one pair 384 0.62% 1 : 161 91.90%
64 JJ AJJ84 one pair 384 0.62% 1 : 161 91.28%
65 TT ATT84 one pair 384 0.62% 1 : 161 90.66%
66 99 A9984 one pair 384 0.62% 1 : 161 90.04%
67 K8 AK884 one pair 384 0.62% 1 : 161 89.42%
68 Q8 AQ884 one pair 384 0.62% 1 : 161 88.81%
69 J8 AJ884 one pair 384 0.62% 1 : 161 88.19%
70 T8 AT884 one pair 384 0.62% 1 : 161 87.57%
71 98 A9884 one pair 384 0.62% 1 : 161 86.95%
72 87 A8874 one pair 384 0.62% 1 : 161 86.33%
73 86 A8864 one pair 384 0.62% 1 : 161 85.71%
74 85 A8854 one pair 384 0.62% 1 : 161 85.09%
75 83 A8843 one pair 384 0.62% 1 : 161 84.47%
76 82 A8842 one pair 384 0.62% 1 : 161 83.86%
77 77 A8774 one pair 384 0.62% 1 : 161 83.24%
78 66 A8664 one pair 384 0.62% 1 : 161 82.62%
79 55 A8554 one pair 384 0.62% 1 : 161 82.00%
80 K4 AK844 one pair 384 0.62% 1 : 161 81.38%
81 Q4 AQ844 one pair 384 0.62% 1 : 161 80.76%
82 J4 AJ844 one pair 384 0.62% 1 : 161 80.14%
83 T4 AT844 one pair 384 0.62% 1 : 161 79.52%
84 94 A9844 one pair 384 0.62% 1 : 161 78.91%
85 74 A8744 one pair 384 0.62% 1 : 161 78.29%
86 64 A8644 one pair 384 0.62% 1 : 161 77.67%
87 54 A8544 one pair 384 0.62% 1 : 161 77.05%
88 43 A8443 one pair 384 0.62% 1 : 161 76.43%
89 42 A8442 one pair 384 0.62% 1 : 161 75.81%
90 33 A8433 one pair 384 0.62% 1 : 161 75.19%
91 22 A8422 one pair 384 0.62% 1 : 161 74.57%
 
92 KQ AKQ84 high card 1,020 1.64% 1 : 59.8 73.96%
93 KJ AKJ84 high card 1,020 1.64% 1 : 59.8 72.31%
94 KT AKT84 high card 1,020 1.64% 1 : 59.8 70.67%
95 K9 AK984 high card 1,020 1.64% 1 : 59.8 69.03%
96 K7 AK874 high card 1,020 1.64% 1 : 59.8 67.38%
97 K6 AK864 high card 1,020 1.64% 1 : 59.8 65.74%
98 K5 AK854 high card 1,020 1.64% 1 : 59.8 64.10%
99 K3 AK843 high card 1,020 1.64% 1 : 59.8 62.45%
100 K2 AK842 high card 1,020 1.64% 1 : 59.8 60.81%
101 QJ AQJ84 high card 1,020 1.64% 1 : 59.8 59.16%
102 QT AQT84 high card 1,020 1.64% 1 : 59.8 57.52%
103 Q9 AQ984 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q7 AQ874 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q6 AQ864 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q5 AQ854 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q3 AQ843 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q2 AQ842 high card 1,020 1.64% 1 : 59.8 47.66%
109 JT AJT84 high card 1,020 1.64% 1 : 59.8 46.02%
110 J9 AJ984 high card 1,020 1.64% 1 : 59.8 44.37%
111 J7 AJ874 high card 1,020 1.64% 1 : 59.8 42.73%
112 J6 AJ864 high card 1,020 1.64% 1 : 59.8 41.09%
113 J5 AJ854 high card 1,020 1.64% 1 : 59.8 39.44%
114 J3 AJ843 high card 1,020 1.64% 1 : 59.8 37.80%
115 J2 AJ842 high card 1,020 1.64% 1 : 59.8 36.16%
116 T9 AT984 high card 1,020 1.64% 1 : 59.8 34.51%
117 T7 AT874 high card 1,020 1.64% 1 : 59.8 32.87%
118 T6 AT864 high card 1,020 1.64% 1 : 59.8 31.23%
119 T5 AT854 high card 1,020 1.64% 1 : 59.8 29.58%
120 T3 AT843 high card 1,020 1.64% 1 : 59.8 27.94%
121 T2 AT842 high card 1,020 1.64% 1 : 59.8 26.30%
122 97 A9874 high card 1,020 1.64% 1 : 59.8 24.65%
123 96 A9864 high card 1,020 1.64% 1 : 59.8 23.01%
124 95 A9854 high card 1,020 1.64% 1 : 59.8 21.37%
125 93 A9843 high card 1,020 1.64% 1 : 59.8 19.72%
126 92 A9842 high card 1,020 1.64% 1 : 59.8 18.08%
127 76 A8764 high card 1,020 1.64% 1 : 59.8 16.43%
128 75 A8754 high card 1,020 1.64% 1 : 59.8 14.79%
129 73 A8743 high card 1,020 1.64% 1 : 59.8 13.15%
130 72 A8742 high card 1,020 1.64% 1 : 59.8 11.50%
131 65 A8654 high card 1,020 1.64% 1 : 59.8 9.86%
132 63 A8643 high card 1,020 1.64% 1 : 59.8 8.22%
133 62 A8642 high card 1,020 1.64% 1 : 59.8 6.57%
134 53 A8543 high card 1,020 1.64% 1 : 59.8 4.93%
135 52 A8542 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 A8432 high card 1,020 1.64% 1 : 59.8 1.64%