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 AKQ83 flush 4 0.01% 1 : 15515 100.00%
2 AJs AKJ83 flush 4 0.01% 1 : 15515 99.99%
3 ATs AKT83 flush 4 0.01% 1 : 15515 99.99%
4 A9s AK983 flush 4 0.01% 1 : 15515 99.98%
5 A7s AK873 flush 4 0.01% 1 : 15515 99.97%
6 A6s AK863 flush 4 0.01% 1 : 15515 99.97%
7 A5s AK853 flush 4 0.01% 1 : 15515 99.96%
8 A4s AK843 flush 4 0.01% 1 : 15515 99.95%
9 A2s AK832 flush 4 0.01% 1 : 15515 99.95%
10 QJs KQJ83 flush 4 0.01% 1 : 15515 99.94%
11 QTs KQT83 flush 4 0.01% 1 : 15515 99.94%
12 Q9s KQ983 flush 4 0.01% 1 : 15515 99.93%
13 Q7s KQ873 flush 4 0.01% 1 : 15515 99.92%
14 Q6s KQ863 flush 4 0.01% 1 : 15515 99.92%
15 Q5s KQ853 flush 4 0.01% 1 : 15515 99.91%
16 Q4s KQ843 flush 4 0.01% 1 : 15515 99.90%
17 Q2s KQ832 flush 4 0.01% 1 : 15515 99.90%
18 JTs KJT83 flush 4 0.01% 1 : 15515 99.89%
19 J9s KJ983 flush 4 0.01% 1 : 15515 99.88%
20 J7s KJ873 flush 4 0.01% 1 : 15515 99.88%
21 J6s KJ863 flush 4 0.01% 1 : 15515 99.87%
22 J5s KJ853 flush 4 0.01% 1 : 15515 99.86%
23 J4s KJ843 flush 4 0.01% 1 : 15515 99.86%
24 J2s KJ832 flush 4 0.01% 1 : 15515 99.85%
25 T9s KT983 flush 4 0.01% 1 : 15515 99.85%
26 T7s KT873 flush 4 0.01% 1 : 15515 99.84%
27 T6s KT863 flush 4 0.01% 1 : 15515 99.83%
28 T5s KT853 flush 4 0.01% 1 : 15515 99.83%
29 T4s KT843 flush 4 0.01% 1 : 15515 99.82%
30 T2s KT832 flush 4 0.01% 1 : 15515 99.81%
31 97s K9873 flush 4 0.01% 1 : 15515 99.81%
32 96s K9863 flush 4 0.01% 1 : 15515 99.80%
33 95s K9853 flush 4 0.01% 1 : 15515 99.79%
34 94s K9843 flush 4 0.01% 1 : 15515 99.79%
35 92s K9832 flush 4 0.01% 1 : 15515 99.78%
36 76s K8763 flush 4 0.01% 1 : 15515 99.77%
37 75s K8753 flush 4 0.01% 1 : 15515 99.77%
38 74s K8743 flush 4 0.01% 1 : 15515 99.76%
39 72s K8732 flush 4 0.01% 1 : 15515 99.76%
40 65s K8653 flush 4 0.01% 1 : 15515 99.75%
41 64s K8643 flush 4 0.01% 1 : 15515 99.74%
42 62s K8632 flush 4 0.01% 1 : 15515 99.74%
43 54s K8543 flush 4 0.01% 1 : 15515 99.73%
44 52s K8532 flush 4 0.01% 1 : 15515 99.72%
45 42s K8432 flush 4 0.01% 1 : 15515 99.72%
 
46 KK KKK83 three of a kind 64 0.10% 1 : 969 99.71%
47 88 K8883 three of a kind 64 0.10% 1 : 969 99.61%
48 33 K8333 three of a kind 64 0.10% 1 : 969 99.50%
 
49 K8 KK883 two pairs 144 0.23% 1 : 430 99.40%
50 K3 KK833 two pairs 144 0.23% 1 : 430 99.17%
51 83 K8833 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAK83 one pair 384 0.62% 1 : 161 98.70%
53 AK AKK83 one pair 384 0.62% 1 : 161 98.09%
54 KQ KKQ83 one pair 384 0.62% 1 : 161 97.47%
55 KJ KKJ83 one pair 384 0.62% 1 : 161 96.85%
56 KT KKT83 one pair 384 0.62% 1 : 161 96.23%
57 K9 KK983 one pair 384 0.62% 1 : 161 95.61%
58 K7 KK873 one pair 384 0.62% 1 : 161 94.99%
59 K6 KK863 one pair 384 0.62% 1 : 161 94.37%
60 K5 KK853 one pair 384 0.62% 1 : 161 93.75%
61 K4 KK843 one pair 384 0.62% 1 : 161 93.14%
62 K2 KK832 one pair 384 0.62% 1 : 161 92.52%
63 QQ KQQ83 one pair 384 0.62% 1 : 161 91.90%
64 JJ KJJ83 one pair 384 0.62% 1 : 161 91.28%
65 TT KTT83 one pair 384 0.62% 1 : 161 90.66%
66 99 K9983 one pair 384 0.62% 1 : 161 90.04%
67 A8 AK883 one pair 384 0.62% 1 : 161 89.42%
68 Q8 KQ883 one pair 384 0.62% 1 : 161 88.81%
69 J8 KJ883 one pair 384 0.62% 1 : 161 88.19%
70 T8 KT883 one pair 384 0.62% 1 : 161 87.57%
71 98 K9883 one pair 384 0.62% 1 : 161 86.95%
72 87 K8873 one pair 384 0.62% 1 : 161 86.33%
73 86 K8863 one pair 384 0.62% 1 : 161 85.71%
74 85 K8853 one pair 384 0.62% 1 : 161 85.09%
75 84 K8843 one pair 384 0.62% 1 : 161 84.47%
76 82 K8832 one pair 384 0.62% 1 : 161 83.86%
77 77 K8773 one pair 384 0.62% 1 : 161 83.24%
78 66 K8663 one pair 384 0.62% 1 : 161 82.62%
79 55 K8553 one pair 384 0.62% 1 : 161 82.00%
80 44 K8443 one pair 384 0.62% 1 : 161 81.38%
81 A3 AK833 one pair 384 0.62% 1 : 161 80.76%
82 Q3 KQ833 one pair 384 0.62% 1 : 161 80.14%
83 J3 KJ833 one pair 384 0.62% 1 : 161 79.52%
84 T3 KT833 one pair 384 0.62% 1 : 161 78.91%
85 93 K9833 one pair 384 0.62% 1 : 161 78.29%
86 73 K8733 one pair 384 0.62% 1 : 161 77.67%
87 63 K8633 one pair 384 0.62% 1 : 161 77.05%
88 53 K8533 one pair 384 0.62% 1 : 161 76.43%
89 43 K8433 one pair 384 0.62% 1 : 161 75.81%
90 32 K8332 one pair 384 0.62% 1 : 161 75.19%
91 22 K8322 one pair 384 0.62% 1 : 161 74.57%
 
92 AQ AKQ83 high card 1,020 1.64% 1 : 59.8 73.96%
93 AJ AKJ83 high card 1,020 1.64% 1 : 59.8 72.31%
94 AT AKT83 high card 1,020 1.64% 1 : 59.8 70.67%
95 A9 AK983 high card 1,020 1.64% 1 : 59.8 69.03%
96 A7 AK873 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 AK863 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 AK853 high card 1,020 1.64% 1 : 59.8 64.10%
99 A4 AK843 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AK832 high card 1,020 1.64% 1 : 59.8 60.81%
101 QJ KQJ83 high card 1,020 1.64% 1 : 59.8 59.16%
102 QT KQT83 high card 1,020 1.64% 1 : 59.8 57.52%
103 Q9 KQ983 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q7 KQ873 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q6 KQ863 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q5 KQ853 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q4 KQ843 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q2 KQ832 high card 1,020 1.64% 1 : 59.8 47.66%
109 JT KJT83 high card 1,020 1.64% 1 : 59.8 46.02%
110 J9 KJ983 high card 1,020 1.64% 1 : 59.8 44.37%
111 J7 KJ873 high card 1,020 1.64% 1 : 59.8 42.73%
112 J6 KJ863 high card 1,020 1.64% 1 : 59.8 41.09%
113 J5 KJ853 high card 1,020 1.64% 1 : 59.8 39.44%
114 J4 KJ843 high card 1,020 1.64% 1 : 59.8 37.80%
115 J2 KJ832 high card 1,020 1.64% 1 : 59.8 36.16%
116 T9 KT983 high card 1,020 1.64% 1 : 59.8 34.51%
117 T7 KT873 high card 1,020 1.64% 1 : 59.8 32.87%
118 T6 KT863 high card 1,020 1.64% 1 : 59.8 31.23%
119 T5 KT853 high card 1,020 1.64% 1 : 59.8 29.58%
120 T4 KT843 high card 1,020 1.64% 1 : 59.8 27.94%
121 T2 KT832 high card 1,020 1.64% 1 : 59.8 26.30%
122 97 K9873 high card 1,020 1.64% 1 : 59.8 24.65%
123 96 K9863 high card 1,020 1.64% 1 : 59.8 23.01%
124 95 K9853 high card 1,020 1.64% 1 : 59.8 21.37%
125 94 K9843 high card 1,020 1.64% 1 : 59.8 19.72%
126 92 K9832 high card 1,020 1.64% 1 : 59.8 18.08%
127 76 K8763 high card 1,020 1.64% 1 : 59.8 16.43%
128 75 K8753 high card 1,020 1.64% 1 : 59.8 14.79%
129 74 K8743 high card 1,020 1.64% 1 : 59.8 13.15%
130 72 K8732 high card 1,020 1.64% 1 : 59.8 11.50%
131 65 K8653 high card 1,020 1.64% 1 : 59.8 9.86%
132 64 K8643 high card 1,020 1.64% 1 : 59.8 8.22%
133 62 K8632 high card 1,020 1.64% 1 : 59.8 6.57%
134 54 K8543 high card 1,020 1.64% 1 : 59.8 4.93%
135 52 K8532 high card 1,020 1.64% 1 : 59.8 3.29%
136 42 K8432 high card 1,020 1.64% 1 : 59.8 1.64%