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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 AKQ94 flush 4 0.01% 1 : 15515 100.00%
2 KJs AKJ94 flush 4 0.01% 1 : 15515 99.99%
3 KTs AKT94 flush 4 0.01% 1 : 15515 99.99%
4 K8s AK984 flush 4 0.01% 1 : 15515 99.98%
5 K7s AK974 flush 4 0.01% 1 : 15515 99.97%
6 K6s AK964 flush 4 0.01% 1 : 15515 99.97%
7 K5s AK954 flush 4 0.01% 1 : 15515 99.96%
8 K3s AK943 flush 4 0.01% 1 : 15515 99.95%
9 K2s AK942 flush 4 0.01% 1 : 15515 99.95%
10 QJs AQJ94 flush 4 0.01% 1 : 15515 99.94%
11 QTs AQT94 flush 4 0.01% 1 : 15515 99.94%
12 Q8s AQ984 flush 4 0.01% 1 : 15515 99.93%
13 Q7s AQ974 flush 4 0.01% 1 : 15515 99.92%
14 Q6s AQ964 flush 4 0.01% 1 : 15515 99.92%
15 Q5s AQ954 flush 4 0.01% 1 : 15515 99.91%
16 Q3s AQ943 flush 4 0.01% 1 : 15515 99.90%
17 Q2s AQ942 flush 4 0.01% 1 : 15515 99.90%
18 JTs AJT94 flush 4 0.01% 1 : 15515 99.89%
19 J8s AJ984 flush 4 0.01% 1 : 15515 99.88%
20 J7s AJ974 flush 4 0.01% 1 : 15515 99.88%
21 J6s AJ964 flush 4 0.01% 1 : 15515 99.87%
22 J5s AJ954 flush 4 0.01% 1 : 15515 99.86%
23 J3s AJ943 flush 4 0.01% 1 : 15515 99.86%
24 J2s AJ942 flush 4 0.01% 1 : 15515 99.85%
25 T8s AT984 flush 4 0.01% 1 : 15515 99.85%
26 T7s AT974 flush 4 0.01% 1 : 15515 99.84%
27 T6s AT964 flush 4 0.01% 1 : 15515 99.83%
28 T5s AT954 flush 4 0.01% 1 : 15515 99.83%
29 T3s AT943 flush 4 0.01% 1 : 15515 99.82%
30 T2s AT942 flush 4 0.01% 1 : 15515 99.81%
31 87s A9874 flush 4 0.01% 1 : 15515 99.81%
32 86s A9864 flush 4 0.01% 1 : 15515 99.80%
33 85s A9854 flush 4 0.01% 1 : 15515 99.79%
34 83s A9843 flush 4 0.01% 1 : 15515 99.79%
35 82s A9842 flush 4 0.01% 1 : 15515 99.78%
36 76s A9764 flush 4 0.01% 1 : 15515 99.77%
37 75s A9754 flush 4 0.01% 1 : 15515 99.77%
38 73s A9743 flush 4 0.01% 1 : 15515 99.76%
39 72s A9742 flush 4 0.01% 1 : 15515 99.76%
40 65s A9654 flush 4 0.01% 1 : 15515 99.75%
41 63s A9643 flush 4 0.01% 1 : 15515 99.74%
42 62s A9642 flush 4 0.01% 1 : 15515 99.74%
43 53s A9543 flush 4 0.01% 1 : 15515 99.73%
44 52s A9542 flush 4 0.01% 1 : 15515 99.72%
45 32s A9432 flush 4 0.01% 1 : 15515 99.72%
 
46 AA AAA94 three of a kind 64 0.10% 1 : 969 99.71%
47 99 A9994 three of a kind 64 0.10% 1 : 969 99.61%
48 44 A9444 three of a kind 64 0.10% 1 : 969 99.50%
 
49 A9 AA994 two pairs 144 0.23% 1 : 430 99.40%
50 A4 AA944 two pairs 144 0.23% 1 : 430 99.17%
51 94 A9944 two pairs 144 0.23% 1 : 430 98.94%
 
52 AK AAK94 one pair 384 0.62% 1 : 161 98.70%
53 AQ AAQ94 one pair 384 0.62% 1 : 161 98.09%
54 AJ AAJ94 one pair 384 0.62% 1 : 161 97.47%
55 AT AAT94 one pair 384 0.62% 1 : 161 96.85%
56 A8 AA984 one pair 384 0.62% 1 : 161 96.23%
57 A7 AA974 one pair 384 0.62% 1 : 161 95.61%
58 A6 AA964 one pair 384 0.62% 1 : 161 94.99%
59 A5 AA954 one pair 384 0.62% 1 : 161 94.37%
60 A3 AA943 one pair 384 0.62% 1 : 161 93.75%
61 A2 AA942 one pair 384 0.62% 1 : 161 93.14%
62 KK AKK94 one pair 384 0.62% 1 : 161 92.52%
63 QQ AQQ94 one pair 384 0.62% 1 : 161 91.90%
64 JJ AJJ94 one pair 384 0.62% 1 : 161 91.28%
65 TT ATT94 one pair 384 0.62% 1 : 161 90.66%
66 K9 AK994 one pair 384 0.62% 1 : 161 90.04%
67 Q9 AQ994 one pair 384 0.62% 1 : 161 89.42%
68 J9 AJ994 one pair 384 0.62% 1 : 161 88.81%
69 T9 AT994 one pair 384 0.62% 1 : 161 88.19%
70 98 A9984 one pair 384 0.62% 1 : 161 87.57%
71 97 A9974 one pair 384 0.62% 1 : 161 86.95%
72 96 A9964 one pair 384 0.62% 1 : 161 86.33%
73 95 A9954 one pair 384 0.62% 1 : 161 85.71%
74 93 A9943 one pair 384 0.62% 1 : 161 85.09%
75 92 A9942 one pair 384 0.62% 1 : 161 84.47%
76 88 A9884 one pair 384 0.62% 1 : 161 83.86%
77 77 A9774 one pair 384 0.62% 1 : 161 83.24%
78 66 A9664 one pair 384 0.62% 1 : 161 82.62%
79 55 A9554 one pair 384 0.62% 1 : 161 82.00%
80 K4 AK944 one pair 384 0.62% 1 : 161 81.38%
81 Q4 AQ944 one pair 384 0.62% 1 : 161 80.76%
82 J4 AJ944 one pair 384 0.62% 1 : 161 80.14%
83 T4 AT944 one pair 384 0.62% 1 : 161 79.52%
84 84 A9844 one pair 384 0.62% 1 : 161 78.91%
85 74 A9744 one pair 384 0.62% 1 : 161 78.29%
86 64 A9644 one pair 384 0.62% 1 : 161 77.67%
87 54 A9544 one pair 384 0.62% 1 : 161 77.05%
88 43 A9443 one pair 384 0.62% 1 : 161 76.43%
89 42 A9442 one pair 384 0.62% 1 : 161 75.81%
90 33 A9433 one pair 384 0.62% 1 : 161 75.19%
91 22 A9422 one pair 384 0.62% 1 : 161 74.57%
 
92 KQ AKQ94 high card 1,020 1.64% 1 : 59.8 73.96%
93 KJ AKJ94 high card 1,020 1.64% 1 : 59.8 72.31%
94 KT AKT94 high card 1,020 1.64% 1 : 59.8 70.67%
95 K8 AK984 high card 1,020 1.64% 1 : 59.8 69.03%
96 K7 AK974 high card 1,020 1.64% 1 : 59.8 67.38%
97 K6 AK964 high card 1,020 1.64% 1 : 59.8 65.74%
98 K5 AK954 high card 1,020 1.64% 1 : 59.8 64.10%
99 K3 AK943 high card 1,020 1.64% 1 : 59.8 62.45%
100 K2 AK942 high card 1,020 1.64% 1 : 59.8 60.81%
101 QJ AQJ94 high card 1,020 1.64% 1 : 59.8 59.16%
102 QT AQT94 high card 1,020 1.64% 1 : 59.8 57.52%
103 Q8 AQ984 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q7 AQ974 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q6 AQ964 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q5 AQ954 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q3 AQ943 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q2 AQ942 high card 1,020 1.64% 1 : 59.8 47.66%
109 JT AJT94 high card 1,020 1.64% 1 : 59.8 46.02%
110 J8 AJ984 high card 1,020 1.64% 1 : 59.8 44.37%
111 J7 AJ974 high card 1,020 1.64% 1 : 59.8 42.73%
112 J6 AJ964 high card 1,020 1.64% 1 : 59.8 41.09%
113 J5 AJ954 high card 1,020 1.64% 1 : 59.8 39.44%
114 J3 AJ943 high card 1,020 1.64% 1 : 59.8 37.80%
115 J2 AJ942 high card 1,020 1.64% 1 : 59.8 36.16%
116 T8 AT984 high card 1,020 1.64% 1 : 59.8 34.51%
117 T7 AT974 high card 1,020 1.64% 1 : 59.8 32.87%
118 T6 AT964 high card 1,020 1.64% 1 : 59.8 31.23%
119 T5 AT954 high card 1,020 1.64% 1 : 59.8 29.58%
120 T3 AT943 high card 1,020 1.64% 1 : 59.8 27.94%
121 T2 AT942 high card 1,020 1.64% 1 : 59.8 26.30%
122 87 A9874 high card 1,020 1.64% 1 : 59.8 24.65%
123 86 A9864 high card 1,020 1.64% 1 : 59.8 23.01%
124 85 A9854 high card 1,020 1.64% 1 : 59.8 21.37%
125 83 A9843 high card 1,020 1.64% 1 : 59.8 19.72%
126 82 A9842 high card 1,020 1.64% 1 : 59.8 18.08%
127 76 A9764 high card 1,020 1.64% 1 : 59.8 16.43%
128 75 A9754 high card 1,020 1.64% 1 : 59.8 14.79%
129 73 A9743 high card 1,020 1.64% 1 : 59.8 13.15%
130 72 A9742 high card 1,020 1.64% 1 : 59.8 11.50%
131 65 A9654 high card 1,020 1.64% 1 : 59.8 9.86%
132 63 A9643 high card 1,020 1.64% 1 : 59.8 8.22%
133 62 A9642 high card 1,020 1.64% 1 : 59.8 6.57%
134 53 A9543 high card 1,020 1.64% 1 : 59.8 4.93%
135 52 A9542 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 A9432 high card 1,020 1.64% 1 : 59.8 1.64%