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 AKT85 flush 4 0.01% 1 : 15515 100.00%
2 AQs AQT85 flush 4 0.01% 1 : 15515 99.99%
3 AJs AJT85 flush 4 0.01% 1 : 15515 99.99%
4 A9s AT985 flush 4 0.01% 1 : 15515 99.98%
5 A7s AT875 flush 4 0.01% 1 : 15515 99.97%
6 A6s AT865 flush 4 0.01% 1 : 15515 99.97%
7 A4s AT854 flush 4 0.01% 1 : 15515 99.96%
8 A3s AT853 flush 4 0.01% 1 : 15515 99.95%
9 A2s AT852 flush 4 0.01% 1 : 15515 99.95%
10 KQs KQT85 flush 4 0.01% 1 : 15515 99.94%
11 KJs KJT85 flush 4 0.01% 1 : 15515 99.94%
12 K9s KT985 flush 4 0.01% 1 : 15515 99.93%
13 K7s KT875 flush 4 0.01% 1 : 15515 99.92%
14 K6s KT865 flush 4 0.01% 1 : 15515 99.92%
15 K4s KT854 flush 4 0.01% 1 : 15515 99.91%
16 K3s KT853 flush 4 0.01% 1 : 15515 99.90%
17 K2s KT852 flush 4 0.01% 1 : 15515 99.90%
18 QJs QJT85 flush 4 0.01% 1 : 15515 99.89%
19 Q9s QT985 flush 4 0.01% 1 : 15515 99.88%
20 Q7s QT875 flush 4 0.01% 1 : 15515 99.88%
21 Q6s QT865 flush 4 0.01% 1 : 15515 99.87%
22 Q4s QT854 flush 4 0.01% 1 : 15515 99.86%
23 Q3s QT853 flush 4 0.01% 1 : 15515 99.86%
24 Q2s QT852 flush 4 0.01% 1 : 15515 99.85%
25 J9s JT985 flush 4 0.01% 1 : 15515 99.85%
26 J7s JT875 flush 4 0.01% 1 : 15515 99.84%
27 J6s JT865 flush 4 0.01% 1 : 15515 99.83%
28 J4s JT854 flush 4 0.01% 1 : 15515 99.83%
29 J3s JT853 flush 4 0.01% 1 : 15515 99.82%
30 J2s JT852 flush 4 0.01% 1 : 15515 99.81%
31 97s T9875 flush 4 0.01% 1 : 15515 99.81%
32 96s T9865 flush 4 0.01% 1 : 15515 99.80%
33 94s T9854 flush 4 0.01% 1 : 15515 99.79%
34 93s T9853 flush 4 0.01% 1 : 15515 99.79%
35 92s T9852 flush 4 0.01% 1 : 15515 99.78%
36 76s T8765 flush 4 0.01% 1 : 15515 99.77%
37 74s T8754 flush 4 0.01% 1 : 15515 99.77%
38 73s T8753 flush 4 0.01% 1 : 15515 99.76%
39 72s T8752 flush 4 0.01% 1 : 15515 99.76%
40 64s T8654 flush 4 0.01% 1 : 15515 99.75%
41 63s T8653 flush 4 0.01% 1 : 15515 99.74%
42 62s T8652 flush 4 0.01% 1 : 15515 99.74%
43 43s T8543 flush 4 0.01% 1 : 15515 99.73%
44 42s T8542 flush 4 0.01% 1 : 15515 99.72%
45 32s T8532 flush 4 0.01% 1 : 15515 99.72%
 
46 TT TTT85 three of a kind 64 0.10% 1 : 969 99.71%
47 88 T8885 three of a kind 64 0.10% 1 : 969 99.61%
48 55 T8555 three of a kind 64 0.10% 1 : 969 99.50%
 
49 T8 TT885 two pairs 144 0.23% 1 : 430 99.40%
50 T5 TT855 two pairs 144 0.23% 1 : 430 99.17%
51 85 T8855 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAT85 one pair 384 0.62% 1 : 161 98.70%
53 KK KKT85 one pair 384 0.62% 1 : 161 98.09%
54 QQ QQT85 one pair 384 0.62% 1 : 161 97.47%
55 JJ JJT85 one pair 384 0.62% 1 : 161 96.85%
56 AT ATT85 one pair 384 0.62% 1 : 161 96.23%
57 KT KTT85 one pair 384 0.62% 1 : 161 95.61%
58 QT QTT85 one pair 384 0.62% 1 : 161 94.99%
59 JT JTT85 one pair 384 0.62% 1 : 161 94.37%
60 T9 TT985 one pair 384 0.62% 1 : 161 93.75%
61 T7 TT875 one pair 384 0.62% 1 : 161 93.14%
62 T6 TT865 one pair 384 0.62% 1 : 161 92.52%
63 T4 TT854 one pair 384 0.62% 1 : 161 91.90%
64 T3 TT853 one pair 384 0.62% 1 : 161 91.28%
65 T2 TT852 one pair 384 0.62% 1 : 161 90.66%
66 99 T9985 one pair 384 0.62% 1 : 161 90.04%
67 A8 AT885 one pair 384 0.62% 1 : 161 89.42%
68 K8 KT885 one pair 384 0.62% 1 : 161 88.81%
69 Q8 QT885 one pair 384 0.62% 1 : 161 88.19%
70 J8 JT885 one pair 384 0.62% 1 : 161 87.57%
71 98 T9885 one pair 384 0.62% 1 : 161 86.95%
72 87 T8875 one pair 384 0.62% 1 : 161 86.33%
73 86 T8865 one pair 384 0.62% 1 : 161 85.71%
74 84 T8854 one pair 384 0.62% 1 : 161 85.09%
75 83 T8853 one pair 384 0.62% 1 : 161 84.47%
76 82 T8852 one pair 384 0.62% 1 : 161 83.86%
77 77 T8775 one pair 384 0.62% 1 : 161 83.24%
78 66 T8665 one pair 384 0.62% 1 : 161 82.62%
79 A5 AT855 one pair 384 0.62% 1 : 161 82.00%
80 K5 KT855 one pair 384 0.62% 1 : 161 81.38%
81 Q5 QT855 one pair 384 0.62% 1 : 161 80.76%
82 J5 JT855 one pair 384 0.62% 1 : 161 80.14%
83 95 T9855 one pair 384 0.62% 1 : 161 79.52%
84 75 T8755 one pair 384 0.62% 1 : 161 78.91%
85 65 T8655 one pair 384 0.62% 1 : 161 78.29%
86 54 T8554 one pair 384 0.62% 1 : 161 77.67%
87 53 T8553 one pair 384 0.62% 1 : 161 77.05%
88 52 T8552 one pair 384 0.62% 1 : 161 76.43%
89 44 T8544 one pair 384 0.62% 1 : 161 75.81%
90 33 T8533 one pair 384 0.62% 1 : 161 75.19%
91 22 T8522 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKT85 high card 1,020 1.64% 1 : 59.8 73.96%
93 AQ AQT85 high card 1,020 1.64% 1 : 59.8 72.31%
94 AJ AJT85 high card 1,020 1.64% 1 : 59.8 70.67%
95 A9 AT985 high card 1,020 1.64% 1 : 59.8 69.03%
96 A7 AT875 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 AT865 high card 1,020 1.64% 1 : 59.8 65.74%
98 A4 AT854 high card 1,020 1.64% 1 : 59.8 64.10%
99 A3 AT853 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AT852 high card 1,020 1.64% 1 : 59.8 60.81%
101 KQ KQT85 high card 1,020 1.64% 1 : 59.8 59.16%
102 KJ KJT85 high card 1,020 1.64% 1 : 59.8 57.52%
103 K9 KT985 high card 1,020 1.64% 1 : 59.8 55.88%
104 K7 KT875 high card 1,020 1.64% 1 : 59.8 54.23%
105 K6 KT865 high card 1,020 1.64% 1 : 59.8 52.59%
106 K4 KT854 high card 1,020 1.64% 1 : 59.8 50.95%
107 K3 KT853 high card 1,020 1.64% 1 : 59.8 49.30%
108 K2 KT852 high card 1,020 1.64% 1 : 59.8 47.66%
109 QJ QJT85 high card 1,020 1.64% 1 : 59.8 46.02%
110 Q9 QT985 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q7 QT875 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q6 QT865 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q4 QT854 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q3 QT853 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q2 QT852 high card 1,020 1.64% 1 : 59.8 36.16%
116 J9 JT985 high card 1,020 1.64% 1 : 59.8 34.51%
117 J7 JT875 high card 1,020 1.64% 1 : 59.8 32.87%
118 J6 JT865 high card 1,020 1.64% 1 : 59.8 31.23%
119 J4 JT854 high card 1,020 1.64% 1 : 59.8 29.58%
120 J3 JT853 high card 1,020 1.64% 1 : 59.8 27.94%
121 J2 JT852 high card 1,020 1.64% 1 : 59.8 26.30%
122 97 T9875 high card 1,020 1.64% 1 : 59.8 24.65%
123 96 T9865 high card 1,020 1.64% 1 : 59.8 23.01%
124 94 T9854 high card 1,020 1.64% 1 : 59.8 21.37%
125 93 T9853 high card 1,020 1.64% 1 : 59.8 19.72%
126 92 T9852 high card 1,020 1.64% 1 : 59.8 18.08%
127 76 T8765 high card 1,020 1.64% 1 : 59.8 16.43%
128 74 T8754 high card 1,020 1.64% 1 : 59.8 14.79%
129 73 T8753 high card 1,020 1.64% 1 : 59.8 13.15%
130 72 T8752 high card 1,020 1.64% 1 : 59.8 11.50%
131 64 T8654 high card 1,020 1.64% 1 : 59.8 9.86%
132 63 T8653 high card 1,020 1.64% 1 : 59.8 8.22%
133 62 T8652 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 T8543 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 T8542 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 T8532 high card 1,020 1.64% 1 : 59.8 1.64%