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 AKT53 flush 4 0.01% 1 : 15515 100.00%
2 AQs AQT53 flush 4 0.01% 1 : 15515 99.99%
3 AJs AJT53 flush 4 0.01% 1 : 15515 99.99%
4 A9s AT953 flush 4 0.01% 1 : 15515 99.98%
5 A8s AT853 flush 4 0.01% 1 : 15515 99.97%
6 A7s AT753 flush 4 0.01% 1 : 15515 99.97%
7 A6s AT653 flush 4 0.01% 1 : 15515 99.96%
8 A4s AT543 flush 4 0.01% 1 : 15515 99.95%
9 A2s AT532 flush 4 0.01% 1 : 15515 99.95%
10 KQs KQT53 flush 4 0.01% 1 : 15515 99.94%
11 KJs KJT53 flush 4 0.01% 1 : 15515 99.94%
12 K9s KT953 flush 4 0.01% 1 : 15515 99.93%
13 K8s KT853 flush 4 0.01% 1 : 15515 99.92%
14 K7s KT753 flush 4 0.01% 1 : 15515 99.92%
15 K6s KT653 flush 4 0.01% 1 : 15515 99.91%
16 K4s KT543 flush 4 0.01% 1 : 15515 99.90%
17 K2s KT532 flush 4 0.01% 1 : 15515 99.90%
18 QJs QJT53 flush 4 0.01% 1 : 15515 99.89%
19 Q9s QT953 flush 4 0.01% 1 : 15515 99.88%
20 Q8s QT853 flush 4 0.01% 1 : 15515 99.88%
21 Q7s QT753 flush 4 0.01% 1 : 15515 99.87%
22 Q6s QT653 flush 4 0.01% 1 : 15515 99.86%
23 Q4s QT543 flush 4 0.01% 1 : 15515 99.86%
24 Q2s QT532 flush 4 0.01% 1 : 15515 99.85%
25 J9s JT953 flush 4 0.01% 1 : 15515 99.85%
26 J8s JT853 flush 4 0.01% 1 : 15515 99.84%
27 J7s JT753 flush 4 0.01% 1 : 15515 99.83%
28 J6s JT653 flush 4 0.01% 1 : 15515 99.83%
29 J4s JT543 flush 4 0.01% 1 : 15515 99.82%
30 J2s JT532 flush 4 0.01% 1 : 15515 99.81%
31 98s T9853 flush 4 0.01% 1 : 15515 99.81%
32 97s T9753 flush 4 0.01% 1 : 15515 99.80%
33 96s T9653 flush 4 0.01% 1 : 15515 99.79%
34 94s T9543 flush 4 0.01% 1 : 15515 99.79%
35 92s T9532 flush 4 0.01% 1 : 15515 99.78%
36 87s T8753 flush 4 0.01% 1 : 15515 99.77%
37 86s T8653 flush 4 0.01% 1 : 15515 99.77%
38 84s T8543 flush 4 0.01% 1 : 15515 99.76%
39 82s T8532 flush 4 0.01% 1 : 15515 99.76%
40 76s T7653 flush 4 0.01% 1 : 15515 99.75%
41 74s T7543 flush 4 0.01% 1 : 15515 99.74%
42 72s T7532 flush 4 0.01% 1 : 15515 99.74%
43 64s T6543 flush 4 0.01% 1 : 15515 99.73%
44 62s T6532 flush 4 0.01% 1 : 15515 99.72%
45 42s T5432 flush 4 0.01% 1 : 15515 99.72%
 
46 TT TTT53 three of a kind 64 0.10% 1 : 969 99.71%
47 55 T5553 three of a kind 64 0.10% 1 : 969 99.61%
48 33 T5333 three of a kind 64 0.10% 1 : 969 99.50%
 
49 T5 TT553 two pairs 144 0.23% 1 : 430 99.40%
50 T3 TT533 two pairs 144 0.23% 1 : 430 99.17%
51 53 T5533 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAT53 one pair 384 0.62% 1 : 161 98.70%
53 KK KKT53 one pair 384 0.62% 1 : 161 98.09%
54 QQ QQT53 one pair 384 0.62% 1 : 161 97.47%
55 JJ JJT53 one pair 384 0.62% 1 : 161 96.85%
56 AT ATT53 one pair 384 0.62% 1 : 161 96.23%
57 KT KTT53 one pair 384 0.62% 1 : 161 95.61%
58 QT QTT53 one pair 384 0.62% 1 : 161 94.99%
59 JT JTT53 one pair 384 0.62% 1 : 161 94.37%
60 T9 TT953 one pair 384 0.62% 1 : 161 93.75%
61 T8 TT853 one pair 384 0.62% 1 : 161 93.14%
62 T7 TT753 one pair 384 0.62% 1 : 161 92.52%
63 T6 TT653 one pair 384 0.62% 1 : 161 91.90%
64 T4 TT543 one pair 384 0.62% 1 : 161 91.28%
65 T2 TT532 one pair 384 0.62% 1 : 161 90.66%
66 99 T9953 one pair 384 0.62% 1 : 161 90.04%
67 88 T8853 one pair 384 0.62% 1 : 161 89.42%
68 77 T7753 one pair 384 0.62% 1 : 161 88.81%
69 66 T6653 one pair 384 0.62% 1 : 161 88.19%
70 A5 AT553 one pair 384 0.62% 1 : 161 87.57%
71 K5 KT553 one pair 384 0.62% 1 : 161 86.95%
72 Q5 QT553 one pair 384 0.62% 1 : 161 86.33%
73 J5 JT553 one pair 384 0.62% 1 : 161 85.71%
74 95 T9553 one pair 384 0.62% 1 : 161 85.09%
75 85 T8553 one pair 384 0.62% 1 : 161 84.47%
76 75 T7553 one pair 384 0.62% 1 : 161 83.86%
77 65 T6553 one pair 384 0.62% 1 : 161 83.24%
78 54 T5543 one pair 384 0.62% 1 : 161 82.62%
79 52 T5532 one pair 384 0.62% 1 : 161 82.00%
80 44 T5443 one pair 384 0.62% 1 : 161 81.38%
81 A3 AT533 one pair 384 0.62% 1 : 161 80.76%
82 K3 KT533 one pair 384 0.62% 1 : 161 80.14%
83 Q3 QT533 one pair 384 0.62% 1 : 161 79.52%
84 J3 JT533 one pair 384 0.62% 1 : 161 78.91%
85 93 T9533 one pair 384 0.62% 1 : 161 78.29%
86 83 T8533 one pair 384 0.62% 1 : 161 77.67%
87 73 T7533 one pair 384 0.62% 1 : 161 77.05%
88 63 T6533 one pair 384 0.62% 1 : 161 76.43%
89 43 T5433 one pair 384 0.62% 1 : 161 75.81%
90 32 T5332 one pair 384 0.62% 1 : 161 75.19%
91 22 T5322 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKT53 high card 1,020 1.64% 1 : 59.8 73.96%
93 AQ AQT53 high card 1,020 1.64% 1 : 59.8 72.31%
94 AJ AJT53 high card 1,020 1.64% 1 : 59.8 70.67%
95 A9 AT953 high card 1,020 1.64% 1 : 59.8 69.03%
96 A8 AT853 high card 1,020 1.64% 1 : 59.8 67.38%
97 A7 AT753 high card 1,020 1.64% 1 : 59.8 65.74%
98 A6 AT653 high card 1,020 1.64% 1 : 59.8 64.10%
99 A4 AT543 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AT532 high card 1,020 1.64% 1 : 59.8 60.81%
101 KQ KQT53 high card 1,020 1.64% 1 : 59.8 59.16%
102 KJ KJT53 high card 1,020 1.64% 1 : 59.8 57.52%
103 K9 KT953 high card 1,020 1.64% 1 : 59.8 55.88%
104 K8 KT853 high card 1,020 1.64% 1 : 59.8 54.23%
105 K7 KT753 high card 1,020 1.64% 1 : 59.8 52.59%
106 K6 KT653 high card 1,020 1.64% 1 : 59.8 50.95%
107 K4 KT543 high card 1,020 1.64% 1 : 59.8 49.30%
108 K2 KT532 high card 1,020 1.64% 1 : 59.8 47.66%
109 QJ QJT53 high card 1,020 1.64% 1 : 59.8 46.02%
110 Q9 QT953 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q8 QT853 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q7 QT753 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q6 QT653 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q4 QT543 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q2 QT532 high card 1,020 1.64% 1 : 59.8 36.16%
116 J9 JT953 high card 1,020 1.64% 1 : 59.8 34.51%
117 J8 JT853 high card 1,020 1.64% 1 : 59.8 32.87%
118 J7 JT753 high card 1,020 1.64% 1 : 59.8 31.23%
119 J6 JT653 high card 1,020 1.64% 1 : 59.8 29.58%
120 J4 JT543 high card 1,020 1.64% 1 : 59.8 27.94%
121 J2 JT532 high card 1,020 1.64% 1 : 59.8 26.30%
122 98 T9853 high card 1,020 1.64% 1 : 59.8 24.65%
123 97 T9753 high card 1,020 1.64% 1 : 59.8 23.01%
124 96 T9653 high card 1,020 1.64% 1 : 59.8 21.37%
125 94 T9543 high card 1,020 1.64% 1 : 59.8 19.72%
126 92 T9532 high card 1,020 1.64% 1 : 59.8 18.08%
127 87 T8753 high card 1,020 1.64% 1 : 59.8 16.43%
128 86 T8653 high card 1,020 1.64% 1 : 59.8 14.79%
129 84 T8543 high card 1,020 1.64% 1 : 59.8 13.15%
130 82 T8532 high card 1,020 1.64% 1 : 59.8 11.50%
131 76 T7653 high card 1,020 1.64% 1 : 59.8 9.86%
132 74 T7543 high card 1,020 1.64% 1 : 59.8 8.22%
133 72 T7532 high card 1,020 1.64% 1 : 59.8 6.57%
134 64 T6543 high card 1,020 1.64% 1 : 59.8 4.93%
135 62 T6532 high card 1,020 1.64% 1 : 59.8 3.29%
136 42 T5432 high card 1,020 1.64% 1 : 59.8 1.64%