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 AK964 flush 4 0.01% 1 : 15515 100.00%
2 AQs AQ964 flush 4 0.01% 1 : 15515 99.99%
3 AJs AJ964 flush 4 0.01% 1 : 15515 99.99%
4 ATs AT964 flush 4 0.01% 1 : 15515 99.98%
5 A8s A9864 flush 4 0.01% 1 : 15515 99.97%
6 A7s A9764 flush 4 0.01% 1 : 15515 99.97%
7 A5s A9654 flush 4 0.01% 1 : 15515 99.96%
8 A3s A9643 flush 4 0.01% 1 : 15515 99.95%
9 A2s A9642 flush 4 0.01% 1 : 15515 99.95%
10 KQs KQ964 flush 4 0.01% 1 : 15515 99.94%
11 KJs KJ964 flush 4 0.01% 1 : 15515 99.94%
12 KTs KT964 flush 4 0.01% 1 : 15515 99.93%
13 K8s K9864 flush 4 0.01% 1 : 15515 99.92%
14 K7s K9764 flush 4 0.01% 1 : 15515 99.92%
15 K5s K9654 flush 4 0.01% 1 : 15515 99.91%
16 K3s K9643 flush 4 0.01% 1 : 15515 99.90%
17 K2s K9642 flush 4 0.01% 1 : 15515 99.90%
18 QJs QJ964 flush 4 0.01% 1 : 15515 99.89%
19 QTs QT964 flush 4 0.01% 1 : 15515 99.88%
20 Q8s Q9864 flush 4 0.01% 1 : 15515 99.88%
21 Q7s Q9764 flush 4 0.01% 1 : 15515 99.87%
22 Q5s Q9654 flush 4 0.01% 1 : 15515 99.86%
23 Q3s Q9643 flush 4 0.01% 1 : 15515 99.86%
24 Q2s Q9642 flush 4 0.01% 1 : 15515 99.85%
25 JTs JT964 flush 4 0.01% 1 : 15515 99.85%
26 J8s J9864 flush 4 0.01% 1 : 15515 99.84%
27 J7s J9764 flush 4 0.01% 1 : 15515 99.83%
28 J5s J9654 flush 4 0.01% 1 : 15515 99.83%
29 J3s J9643 flush 4 0.01% 1 : 15515 99.82%
30 J2s J9642 flush 4 0.01% 1 : 15515 99.81%
31 T8s T9864 flush 4 0.01% 1 : 15515 99.81%
32 T7s T9764 flush 4 0.01% 1 : 15515 99.80%
33 T5s T9654 flush 4 0.01% 1 : 15515 99.79%
34 T3s T9643 flush 4 0.01% 1 : 15515 99.79%
35 T2s T9642 flush 4 0.01% 1 : 15515 99.78%
36 87s 98764 flush 4 0.01% 1 : 15515 99.77%
37 85s 98654 flush 4 0.01% 1 : 15515 99.77%
38 83s 98643 flush 4 0.01% 1 : 15515 99.76%
39 82s 98642 flush 4 0.01% 1 : 15515 99.76%
40 75s 97654 flush 4 0.01% 1 : 15515 99.75%
41 73s 97643 flush 4 0.01% 1 : 15515 99.74%
42 72s 97642 flush 4 0.01% 1 : 15515 99.74%
43 53s 96543 flush 4 0.01% 1 : 15515 99.73%
44 52s 96542 flush 4 0.01% 1 : 15515 99.72%
45 32s 96432 flush 4 0.01% 1 : 15515 99.72%
 
46 99 99964 three of a kind 64 0.10% 1 : 969 99.71%
47 66 96664 three of a kind 64 0.10% 1 : 969 99.61%
48 44 96444 three of a kind 64 0.10% 1 : 969 99.50%
 
49 96 99664 two pairs 144 0.23% 1 : 430 99.40%
50 94 99644 two pairs 144 0.23% 1 : 430 99.17%
51 64 96644 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AA964 one pair 384 0.62% 1 : 161 98.70%
53 KK KK964 one pair 384 0.62% 1 : 161 98.09%
54 QQ QQ964 one pair 384 0.62% 1 : 161 97.47%
55 JJ JJ964 one pair 384 0.62% 1 : 161 96.85%
56 TT TT964 one pair 384 0.62% 1 : 161 96.23%
57 A9 A9964 one pair 384 0.62% 1 : 161 95.61%
58 K9 K9964 one pair 384 0.62% 1 : 161 94.99%
59 Q9 Q9964 one pair 384 0.62% 1 : 161 94.37%
60 J9 J9964 one pair 384 0.62% 1 : 161 93.75%
61 T9 T9964 one pair 384 0.62% 1 : 161 93.14%
62 98 99864 one pair 384 0.62% 1 : 161 92.52%
63 97 99764 one pair 384 0.62% 1 : 161 91.90%
64 95 99654 one pair 384 0.62% 1 : 161 91.28%
65 93 99643 one pair 384 0.62% 1 : 161 90.66%
66 92 99642 one pair 384 0.62% 1 : 161 90.04%
67 88 98864 one pair 384 0.62% 1 : 161 89.42%
68 77 97764 one pair 384 0.62% 1 : 161 88.81%
69 A6 A9664 one pair 384 0.62% 1 : 161 88.19%
70 K6 K9664 one pair 384 0.62% 1 : 161 87.57%
71 Q6 Q9664 one pair 384 0.62% 1 : 161 86.95%
72 J6 J9664 one pair 384 0.62% 1 : 161 86.33%
73 T6 T9664 one pair 384 0.62% 1 : 161 85.71%
74 86 98664 one pair 384 0.62% 1 : 161 85.09%
75 76 97664 one pair 384 0.62% 1 : 161 84.47%
76 65 96654 one pair 384 0.62% 1 : 161 83.86%
77 63 96643 one pair 384 0.62% 1 : 161 83.24%
78 62 96642 one pair 384 0.62% 1 : 161 82.62%
79 55 96554 one pair 384 0.62% 1 : 161 82.00%
80 A4 A9644 one pair 384 0.62% 1 : 161 81.38%
81 K4 K9644 one pair 384 0.62% 1 : 161 80.76%
82 Q4 Q9644 one pair 384 0.62% 1 : 161 80.14%
83 J4 J9644 one pair 384 0.62% 1 : 161 79.52%
84 T4 T9644 one pair 384 0.62% 1 : 161 78.91%
85 84 98644 one pair 384 0.62% 1 : 161 78.29%
86 74 97644 one pair 384 0.62% 1 : 161 77.67%
87 54 96544 one pair 384 0.62% 1 : 161 77.05%
88 43 96443 one pair 384 0.62% 1 : 161 76.43%
89 42 96442 one pair 384 0.62% 1 : 161 75.81%
90 33 96433 one pair 384 0.62% 1 : 161 75.19%
91 22 96422 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AK964 high card 1,020 1.64% 1 : 59.8 73.96%
93 AQ AQ964 high card 1,020 1.64% 1 : 59.8 72.31%
94 AJ AJ964 high card 1,020 1.64% 1 : 59.8 70.67%
95 AT AT964 high card 1,020 1.64% 1 : 59.8 69.03%
96 A8 A9864 high card 1,020 1.64% 1 : 59.8 67.38%
97 A7 A9764 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 A9654 high card 1,020 1.64% 1 : 59.8 64.10%
99 A3 A9643 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 A9642 high card 1,020 1.64% 1 : 59.8 60.81%
101 KQ KQ964 high card 1,020 1.64% 1 : 59.8 59.16%
102 KJ KJ964 high card 1,020 1.64% 1 : 59.8 57.52%
103 KT KT964 high card 1,020 1.64% 1 : 59.8 55.88%
104 K8 K9864 high card 1,020 1.64% 1 : 59.8 54.23%
105 K7 K9764 high card 1,020 1.64% 1 : 59.8 52.59%
106 K5 K9654 high card 1,020 1.64% 1 : 59.8 50.95%
107 K3 K9643 high card 1,020 1.64% 1 : 59.8 49.30%
108 K2 K9642 high card 1,020 1.64% 1 : 59.8 47.66%
109 QJ QJ964 high card 1,020 1.64% 1 : 59.8 46.02%
110 QT QT964 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q8 Q9864 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q7 Q9764 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q5 Q9654 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q3 Q9643 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q2 Q9642 high card 1,020 1.64% 1 : 59.8 36.16%
116 JT JT964 high card 1,020 1.64% 1 : 59.8 34.51%
117 J8 J9864 high card 1,020 1.64% 1 : 59.8 32.87%
118 J7 J9764 high card 1,020 1.64% 1 : 59.8 31.23%
119 J5 J9654 high card 1,020 1.64% 1 : 59.8 29.58%
120 J3 J9643 high card 1,020 1.64% 1 : 59.8 27.94%
121 J2 J9642 high card 1,020 1.64% 1 : 59.8 26.30%
122 T8 T9864 high card 1,020 1.64% 1 : 59.8 24.65%
123 T7 T9764 high card 1,020 1.64% 1 : 59.8 23.01%
124 T5 T9654 high card 1,020 1.64% 1 : 59.8 21.37%
125 T3 T9643 high card 1,020 1.64% 1 : 59.8 19.72%
126 T2 T9642 high card 1,020 1.64% 1 : 59.8 18.08%
127 87 98764 high card 1,020 1.64% 1 : 59.8 16.43%
128 85 98654 high card 1,020 1.64% 1 : 59.8 14.79%
129 83 98643 high card 1,020 1.64% 1 : 59.8 13.15%
130 82 98642 high card 1,020 1.64% 1 : 59.8 11.50%
131 75 97654 high card 1,020 1.64% 1 : 59.8 9.86%
132 73 97643 high card 1,020 1.64% 1 : 59.8 8.22%
133 72 97642 high card 1,020 1.64% 1 : 59.8 6.57%
134 53 96543 high card 1,020 1.64% 1 : 59.8 4.93%
135 52 96542 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 96432 high card 1,020 1.64% 1 : 59.8 1.64%