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 AKT72 flush 4 0.01% 1 : 15515 100.00%
2 AQs AQT72 flush 4 0.01% 1 : 15515 99.99%
3 AJs AJT72 flush 4 0.01% 1 : 15515 99.99%
4 A9s AT972 flush 4 0.01% 1 : 15515 99.98%
5 A8s AT872 flush 4 0.01% 1 : 15515 99.97%
6 A6s AT762 flush 4 0.01% 1 : 15515 99.97%
7 A5s AT752 flush 4 0.01% 1 : 15515 99.96%
8 A4s AT742 flush 4 0.01% 1 : 15515 99.95%
9 A3s AT732 flush 4 0.01% 1 : 15515 99.95%
10 KQs KQT72 flush 4 0.01% 1 : 15515 99.94%
11 KJs KJT72 flush 4 0.01% 1 : 15515 99.94%
12 K9s KT972 flush 4 0.01% 1 : 15515 99.93%
13 K8s KT872 flush 4 0.01% 1 : 15515 99.92%
14 K6s KT762 flush 4 0.01% 1 : 15515 99.92%
15 K5s KT752 flush 4 0.01% 1 : 15515 99.91%
16 K4s KT742 flush 4 0.01% 1 : 15515 99.90%
17 K3s KT732 flush 4 0.01% 1 : 15515 99.90%
18 QJs QJT72 flush 4 0.01% 1 : 15515 99.89%
19 Q9s QT972 flush 4 0.01% 1 : 15515 99.88%
20 Q8s QT872 flush 4 0.01% 1 : 15515 99.88%
21 Q6s QT762 flush 4 0.01% 1 : 15515 99.87%
22 Q5s QT752 flush 4 0.01% 1 : 15515 99.86%
23 Q4s QT742 flush 4 0.01% 1 : 15515 99.86%
24 Q3s QT732 flush 4 0.01% 1 : 15515 99.85%
25 J9s JT972 flush 4 0.01% 1 : 15515 99.85%
26 J8s JT872 flush 4 0.01% 1 : 15515 99.84%
27 J6s JT762 flush 4 0.01% 1 : 15515 99.83%
28 J5s JT752 flush 4 0.01% 1 : 15515 99.83%
29 J4s JT742 flush 4 0.01% 1 : 15515 99.82%
30 J3s JT732 flush 4 0.01% 1 : 15515 99.81%
31 98s T9872 flush 4 0.01% 1 : 15515 99.81%
32 96s T9762 flush 4 0.01% 1 : 15515 99.80%
33 95s T9752 flush 4 0.01% 1 : 15515 99.79%
34 94s T9742 flush 4 0.01% 1 : 15515 99.79%
35 93s T9732 flush 4 0.01% 1 : 15515 99.78%
36 86s T8762 flush 4 0.01% 1 : 15515 99.77%
37 85s T8752 flush 4 0.01% 1 : 15515 99.77%
38 84s T8742 flush 4 0.01% 1 : 15515 99.76%
39 83s T8732 flush 4 0.01% 1 : 15515 99.76%
40 65s T7652 flush 4 0.01% 1 : 15515 99.75%
41 64s T7642 flush 4 0.01% 1 : 15515 99.74%
42 63s T7632 flush 4 0.01% 1 : 15515 99.74%
43 54s T7542 flush 4 0.01% 1 : 15515 99.73%
44 53s T7532 flush 4 0.01% 1 : 15515 99.72%
45 43s T7432 flush 4 0.01% 1 : 15515 99.72%
 
46 TT TTT72 three of a kind 64 0.10% 1 : 969 99.71%
47 77 T7772 three of a kind 64 0.10% 1 : 969 99.61%
48 22 T7222 three of a kind 64 0.10% 1 : 969 99.50%
 
49 T7 TT772 two pairs 144 0.23% 1 : 430 99.40%
50 T2 TT722 two pairs 144 0.23% 1 : 430 99.17%
51 72 T7722 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAT72 one pair 384 0.62% 1 : 161 98.70%
53 KK KKT72 one pair 384 0.62% 1 : 161 98.09%
54 QQ QQT72 one pair 384 0.62% 1 : 161 97.47%
55 JJ JJT72 one pair 384 0.62% 1 : 161 96.85%
56 AT ATT72 one pair 384 0.62% 1 : 161 96.23%
57 KT KTT72 one pair 384 0.62% 1 : 161 95.61%
58 QT QTT72 one pair 384 0.62% 1 : 161 94.99%
59 JT JTT72 one pair 384 0.62% 1 : 161 94.37%
60 T9 TT972 one pair 384 0.62% 1 : 161 93.75%
61 T8 TT872 one pair 384 0.62% 1 : 161 93.14%
62 T6 TT762 one pair 384 0.62% 1 : 161 92.52%
63 T5 TT752 one pair 384 0.62% 1 : 161 91.90%
64 T4 TT742 one pair 384 0.62% 1 : 161 91.28%
65 T3 TT732 one pair 384 0.62% 1 : 161 90.66%
66 99 T9972 one pair 384 0.62% 1 : 161 90.04%
67 88 T8872 one pair 384 0.62% 1 : 161 89.42%
68 A7 AT772 one pair 384 0.62% 1 : 161 88.81%
69 K7 KT772 one pair 384 0.62% 1 : 161 88.19%
70 Q7 QT772 one pair 384 0.62% 1 : 161 87.57%
71 J7 JT772 one pair 384 0.62% 1 : 161 86.95%
72 97 T9772 one pair 384 0.62% 1 : 161 86.33%
73 87 T8772 one pair 384 0.62% 1 : 161 85.71%
74 76 T7762 one pair 384 0.62% 1 : 161 85.09%
75 75 T7752 one pair 384 0.62% 1 : 161 84.47%
76 74 T7742 one pair 384 0.62% 1 : 161 83.86%
77 73 T7732 one pair 384 0.62% 1 : 161 83.24%
78 66 T7662 one pair 384 0.62% 1 : 161 82.62%
79 55 T7552 one pair 384 0.62% 1 : 161 82.00%
80 44 T7442 one pair 384 0.62% 1 : 161 81.38%
81 33 T7332 one pair 384 0.62% 1 : 161 80.76%
82 A2 AT722 one pair 384 0.62% 1 : 161 80.14%
83 K2 KT722 one pair 384 0.62% 1 : 161 79.52%
84 Q2 QT722 one pair 384 0.62% 1 : 161 78.91%
85 J2 JT722 one pair 384 0.62% 1 : 161 78.29%
86 92 T9722 one pair 384 0.62% 1 : 161 77.67%
87 82 T8722 one pair 384 0.62% 1 : 161 77.05%
88 62 T7622 one pair 384 0.62% 1 : 161 76.43%
89 52 T7522 one pair 384 0.62% 1 : 161 75.81%
90 42 T7422 one pair 384 0.62% 1 : 161 75.19%
91 32 T7322 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKT72 high card 1,020 1.64% 1 : 59.8 73.96%
93 AQ AQT72 high card 1,020 1.64% 1 : 59.8 72.31%
94 AJ AJT72 high card 1,020 1.64% 1 : 59.8 70.67%
95 A9 AT972 high card 1,020 1.64% 1 : 59.8 69.03%
96 A8 AT872 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 AT762 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 AT752 high card 1,020 1.64% 1 : 59.8 64.10%
99 A4 AT742 high card 1,020 1.64% 1 : 59.8 62.45%
100 A3 AT732 high card 1,020 1.64% 1 : 59.8 60.81%
101 KQ KQT72 high card 1,020 1.64% 1 : 59.8 59.16%
102 KJ KJT72 high card 1,020 1.64% 1 : 59.8 57.52%
103 K9 KT972 high card 1,020 1.64% 1 : 59.8 55.88%
104 K8 KT872 high card 1,020 1.64% 1 : 59.8 54.23%
105 K6 KT762 high card 1,020 1.64% 1 : 59.8 52.59%
106 K5 KT752 high card 1,020 1.64% 1 : 59.8 50.95%
107 K4 KT742 high card 1,020 1.64% 1 : 59.8 49.30%
108 K3 KT732 high card 1,020 1.64% 1 : 59.8 47.66%
109 QJ QJT72 high card 1,020 1.64% 1 : 59.8 46.02%
110 Q9 QT972 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q8 QT872 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q6 QT762 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q5 QT752 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q4 QT742 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q3 QT732 high card 1,020 1.64% 1 : 59.8 36.16%
116 J9 JT972 high card 1,020 1.64% 1 : 59.8 34.51%
117 J8 JT872 high card 1,020 1.64% 1 : 59.8 32.87%
118 J6 JT762 high card 1,020 1.64% 1 : 59.8 31.23%
119 J5 JT752 high card 1,020 1.64% 1 : 59.8 29.58%
120 J4 JT742 high card 1,020 1.64% 1 : 59.8 27.94%
121 J3 JT732 high card 1,020 1.64% 1 : 59.8 26.30%
122 98 T9872 high card 1,020 1.64% 1 : 59.8 24.65%
123 96 T9762 high card 1,020 1.64% 1 : 59.8 23.01%
124 95 T9752 high card 1,020 1.64% 1 : 59.8 21.37%
125 94 T9742 high card 1,020 1.64% 1 : 59.8 19.72%
126 93 T9732 high card 1,020 1.64% 1 : 59.8 18.08%
127 86 T8762 high card 1,020 1.64% 1 : 59.8 16.43%
128 85 T8752 high card 1,020 1.64% 1 : 59.8 14.79%
129 84 T8742 high card 1,020 1.64% 1 : 59.8 13.15%
130 83 T8732 high card 1,020 1.64% 1 : 59.8 11.50%
131 65 T7652 high card 1,020 1.64% 1 : 59.8 9.86%
132 64 T7642 high card 1,020 1.64% 1 : 59.8 8.22%
133 63 T7632 high card 1,020 1.64% 1 : 59.8 6.57%
134 54 T7542 high card 1,020 1.64% 1 : 59.8 4.93%
135 53 T7532 high card 1,020 1.64% 1 : 59.8 3.29%
136 43 T7432 high card 1,020 1.64% 1 : 59.8 1.64%