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 AKQ83 flush 4 0.01% 1 : 15515 100.00%
2 KJs AKJ83 flush 4 0.01% 1 : 15515 99.99%
3 KTs AKT83 flush 4 0.01% 1 : 15515 99.99%
4 K9s AK983 flush 4 0.01% 1 : 15515 99.98%
5 K7s AK873 flush 4 0.01% 1 : 15515 99.97%
6 K6s AK863 flush 4 0.01% 1 : 15515 99.97%
7 K5s AK853 flush 4 0.01% 1 : 15515 99.96%
8 K4s AK843 flush 4 0.01% 1 : 15515 99.95%
9 K2s AK832 flush 4 0.01% 1 : 15515 99.95%
10 QJs AQJ83 flush 4 0.01% 1 : 15515 99.94%
11 QTs AQT83 flush 4 0.01% 1 : 15515 99.94%
12 Q9s AQ983 flush 4 0.01% 1 : 15515 99.93%
13 Q7s AQ873 flush 4 0.01% 1 : 15515 99.92%
14 Q6s AQ863 flush 4 0.01% 1 : 15515 99.92%
15 Q5s AQ853 flush 4 0.01% 1 : 15515 99.91%
16 Q4s AQ843 flush 4 0.01% 1 : 15515 99.90%
17 Q2s AQ832 flush 4 0.01% 1 : 15515 99.90%
18 JTs AJT83 flush 4 0.01% 1 : 15515 99.89%
19 J9s AJ983 flush 4 0.01% 1 : 15515 99.88%
20 J7s AJ873 flush 4 0.01% 1 : 15515 99.88%
21 J6s AJ863 flush 4 0.01% 1 : 15515 99.87%
22 J5s AJ853 flush 4 0.01% 1 : 15515 99.86%
23 J4s AJ843 flush 4 0.01% 1 : 15515 99.86%
24 J2s AJ832 flush 4 0.01% 1 : 15515 99.85%
25 T9s AT983 flush 4 0.01% 1 : 15515 99.85%
26 T7s AT873 flush 4 0.01% 1 : 15515 99.84%
27 T6s AT863 flush 4 0.01% 1 : 15515 99.83%
28 T5s AT853 flush 4 0.01% 1 : 15515 99.83%
29 T4s AT843 flush 4 0.01% 1 : 15515 99.82%
30 T2s AT832 flush 4 0.01% 1 : 15515 99.81%
31 97s A9873 flush 4 0.01% 1 : 15515 99.81%
32 96s A9863 flush 4 0.01% 1 : 15515 99.80%
33 95s A9853 flush 4 0.01% 1 : 15515 99.79%
34 94s A9843 flush 4 0.01% 1 : 15515 99.79%
35 92s A9832 flush 4 0.01% 1 : 15515 99.78%
36 76s A8763 flush 4 0.01% 1 : 15515 99.77%
37 75s A8753 flush 4 0.01% 1 : 15515 99.77%
38 74s A8743 flush 4 0.01% 1 : 15515 99.76%
39 72s A8732 flush 4 0.01% 1 : 15515 99.76%
40 65s A8653 flush 4 0.01% 1 : 15515 99.75%
41 64s A8643 flush 4 0.01% 1 : 15515 99.74%
42 62s A8632 flush 4 0.01% 1 : 15515 99.74%
43 54s A8543 flush 4 0.01% 1 : 15515 99.73%
44 52s A8532 flush 4 0.01% 1 : 15515 99.72%
45 42s A8432 flush 4 0.01% 1 : 15515 99.72%
 
46 AA AAA83 three of a kind 64 0.10% 1 : 969 99.71%
47 88 A8883 three of a kind 64 0.10% 1 : 969 99.61%
48 33 A8333 three of a kind 64 0.10% 1 : 969 99.50%
 
49 A8 AA883 two pairs 144 0.23% 1 : 430 99.40%
50 A3 AA833 two pairs 144 0.23% 1 : 430 99.17%
51 83 A8833 two pairs 144 0.23% 1 : 430 98.94%
 
52 AK AAK83 one pair 384 0.62% 1 : 161 98.70%
53 AQ AAQ83 one pair 384 0.62% 1 : 161 98.09%
54 AJ AAJ83 one pair 384 0.62% 1 : 161 97.47%
55 AT AAT83 one pair 384 0.62% 1 : 161 96.85%
56 A9 AA983 one pair 384 0.62% 1 : 161 96.23%
57 A7 AA873 one pair 384 0.62% 1 : 161 95.61%
58 A6 AA863 one pair 384 0.62% 1 : 161 94.99%
59 A5 AA853 one pair 384 0.62% 1 : 161 94.37%
60 A4 AA843 one pair 384 0.62% 1 : 161 93.75%
61 A2 AA832 one pair 384 0.62% 1 : 161 93.14%
62 KK AKK83 one pair 384 0.62% 1 : 161 92.52%
63 QQ AQQ83 one pair 384 0.62% 1 : 161 91.90%
64 JJ AJJ83 one pair 384 0.62% 1 : 161 91.28%
65 TT ATT83 one pair 384 0.62% 1 : 161 90.66%
66 99 A9983 one pair 384 0.62% 1 : 161 90.04%
67 K8 AK883 one pair 384 0.62% 1 : 161 89.42%
68 Q8 AQ883 one pair 384 0.62% 1 : 161 88.81%
69 J8 AJ883 one pair 384 0.62% 1 : 161 88.19%
70 T8 AT883 one pair 384 0.62% 1 : 161 87.57%
71 98 A9883 one pair 384 0.62% 1 : 161 86.95%
72 87 A8873 one pair 384 0.62% 1 : 161 86.33%
73 86 A8863 one pair 384 0.62% 1 : 161 85.71%
74 85 A8853 one pair 384 0.62% 1 : 161 85.09%
75 84 A8843 one pair 384 0.62% 1 : 161 84.47%
76 82 A8832 one pair 384 0.62% 1 : 161 83.86%
77 77 A8773 one pair 384 0.62% 1 : 161 83.24%
78 66 A8663 one pair 384 0.62% 1 : 161 82.62%
79 55 A8553 one pair 384 0.62% 1 : 161 82.00%
80 44 A8443 one pair 384 0.62% 1 : 161 81.38%
81 K3 AK833 one pair 384 0.62% 1 : 161 80.76%
82 Q3 AQ833 one pair 384 0.62% 1 : 161 80.14%
83 J3 AJ833 one pair 384 0.62% 1 : 161 79.52%
84 T3 AT833 one pair 384 0.62% 1 : 161 78.91%
85 93 A9833 one pair 384 0.62% 1 : 161 78.29%
86 73 A8733 one pair 384 0.62% 1 : 161 77.67%
87 63 A8633 one pair 384 0.62% 1 : 161 77.05%
88 53 A8533 one pair 384 0.62% 1 : 161 76.43%
89 43 A8433 one pair 384 0.62% 1 : 161 75.81%
90 32 A8332 one pair 384 0.62% 1 : 161 75.19%
91 22 A8322 one pair 384 0.62% 1 : 161 74.57%
 
92 KQ AKQ83 high card 1,020 1.64% 1 : 59.8 73.96%
93 KJ AKJ83 high card 1,020 1.64% 1 : 59.8 72.31%
94 KT AKT83 high card 1,020 1.64% 1 : 59.8 70.67%
95 K9 AK983 high card 1,020 1.64% 1 : 59.8 69.03%
96 K7 AK873 high card 1,020 1.64% 1 : 59.8 67.38%
97 K6 AK863 high card 1,020 1.64% 1 : 59.8 65.74%
98 K5 AK853 high card 1,020 1.64% 1 : 59.8 64.10%
99 K4 AK843 high card 1,020 1.64% 1 : 59.8 62.45%
100 K2 AK832 high card 1,020 1.64% 1 : 59.8 60.81%
101 QJ AQJ83 high card 1,020 1.64% 1 : 59.8 59.16%
102 QT AQT83 high card 1,020 1.64% 1 : 59.8 57.52%
103 Q9 AQ983 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q7 AQ873 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q6 AQ863 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q5 AQ853 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q4 AQ843 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q2 AQ832 high card 1,020 1.64% 1 : 59.8 47.66%
109 JT AJT83 high card 1,020 1.64% 1 : 59.8 46.02%
110 J9 AJ983 high card 1,020 1.64% 1 : 59.8 44.37%
111 J7 AJ873 high card 1,020 1.64% 1 : 59.8 42.73%
112 J6 AJ863 high card 1,020 1.64% 1 : 59.8 41.09%
113 J5 AJ853 high card 1,020 1.64% 1 : 59.8 39.44%
114 J4 AJ843 high card 1,020 1.64% 1 : 59.8 37.80%
115 J2 AJ832 high card 1,020 1.64% 1 : 59.8 36.16%
116 T9 AT983 high card 1,020 1.64% 1 : 59.8 34.51%
117 T7 AT873 high card 1,020 1.64% 1 : 59.8 32.87%
118 T6 AT863 high card 1,020 1.64% 1 : 59.8 31.23%
119 T5 AT853 high card 1,020 1.64% 1 : 59.8 29.58%
120 T4 AT843 high card 1,020 1.64% 1 : 59.8 27.94%
121 T2 AT832 high card 1,020 1.64% 1 : 59.8 26.30%
122 97 A9873 high card 1,020 1.64% 1 : 59.8 24.65%
123 96 A9863 high card 1,020 1.64% 1 : 59.8 23.01%
124 95 A9853 high card 1,020 1.64% 1 : 59.8 21.37%
125 94 A9843 high card 1,020 1.64% 1 : 59.8 19.72%
126 92 A9832 high card 1,020 1.64% 1 : 59.8 18.08%
127 76 A8763 high card 1,020 1.64% 1 : 59.8 16.43%
128 75 A8753 high card 1,020 1.64% 1 : 59.8 14.79%
129 74 A8743 high card 1,020 1.64% 1 : 59.8 13.15%
130 72 A8732 high card 1,020 1.64% 1 : 59.8 11.50%
131 65 A8653 high card 1,020 1.64% 1 : 59.8 9.86%
132 64 A8643 high card 1,020 1.64% 1 : 59.8 8.22%
133 62 A8632 high card 1,020 1.64% 1 : 59.8 6.57%
134 54 A8543 high card 1,020 1.64% 1 : 59.8 4.93%
135 52 A8532 high card 1,020 1.64% 1 : 59.8 3.29%
136 42 A8432 high card 1,020 1.64% 1 : 59.8 1.64%