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 AKT84 flush 4 0.01% 1 : 15515 100.00%
2 AQs AQT84 flush 4 0.01% 1 : 15515 99.99%
3 AJs AJT84 flush 4 0.01% 1 : 15515 99.99%
4 A9s AT984 flush 4 0.01% 1 : 15515 99.98%
5 A7s AT874 flush 4 0.01% 1 : 15515 99.97%
6 A6s AT864 flush 4 0.01% 1 : 15515 99.97%
7 A5s AT854 flush 4 0.01% 1 : 15515 99.96%
8 A3s AT843 flush 4 0.01% 1 : 15515 99.95%
9 A2s AT842 flush 4 0.01% 1 : 15515 99.95%
10 KQs KQT84 flush 4 0.01% 1 : 15515 99.94%
11 KJs KJT84 flush 4 0.01% 1 : 15515 99.94%
12 K9s KT984 flush 4 0.01% 1 : 15515 99.93%
13 K7s KT874 flush 4 0.01% 1 : 15515 99.92%
14 K6s KT864 flush 4 0.01% 1 : 15515 99.92%
15 K5s KT854 flush 4 0.01% 1 : 15515 99.91%
16 K3s KT843 flush 4 0.01% 1 : 15515 99.90%
17 K2s KT842 flush 4 0.01% 1 : 15515 99.90%
18 QJs QJT84 flush 4 0.01% 1 : 15515 99.89%
19 Q9s QT984 flush 4 0.01% 1 : 15515 99.88%
20 Q7s QT874 flush 4 0.01% 1 : 15515 99.88%
21 Q6s QT864 flush 4 0.01% 1 : 15515 99.87%
22 Q5s QT854 flush 4 0.01% 1 : 15515 99.86%
23 Q3s QT843 flush 4 0.01% 1 : 15515 99.86%
24 Q2s QT842 flush 4 0.01% 1 : 15515 99.85%
25 J9s JT984 flush 4 0.01% 1 : 15515 99.85%
26 J7s JT874 flush 4 0.01% 1 : 15515 99.84%
27 J6s JT864 flush 4 0.01% 1 : 15515 99.83%
28 J5s JT854 flush 4 0.01% 1 : 15515 99.83%
29 J3s JT843 flush 4 0.01% 1 : 15515 99.82%
30 J2s JT842 flush 4 0.01% 1 : 15515 99.81%
31 97s T9874 flush 4 0.01% 1 : 15515 99.81%
32 96s T9864 flush 4 0.01% 1 : 15515 99.80%
33 95s T9854 flush 4 0.01% 1 : 15515 99.79%
34 93s T9843 flush 4 0.01% 1 : 15515 99.79%
35 92s T9842 flush 4 0.01% 1 : 15515 99.78%
36 76s T8764 flush 4 0.01% 1 : 15515 99.77%
37 75s T8754 flush 4 0.01% 1 : 15515 99.77%
38 73s T8743 flush 4 0.01% 1 : 15515 99.76%
39 72s T8742 flush 4 0.01% 1 : 15515 99.76%
40 65s T8654 flush 4 0.01% 1 : 15515 99.75%
41 63s T8643 flush 4 0.01% 1 : 15515 99.74%
42 62s T8642 flush 4 0.01% 1 : 15515 99.74%
43 53s T8543 flush 4 0.01% 1 : 15515 99.73%
44 52s T8542 flush 4 0.01% 1 : 15515 99.72%
45 32s T8432 flush 4 0.01% 1 : 15515 99.72%
 
46 TT TTT84 three of a kind 64 0.10% 1 : 969 99.71%
47 88 T8884 three of a kind 64 0.10% 1 : 969 99.61%
48 44 T8444 three of a kind 64 0.10% 1 : 969 99.50%
 
49 T8 TT884 two pairs 144 0.23% 1 : 430 99.40%
50 T4 TT844 two pairs 144 0.23% 1 : 430 99.17%
51 84 T8844 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAT84 one pair 384 0.62% 1 : 161 98.70%
53 KK KKT84 one pair 384 0.62% 1 : 161 98.09%
54 QQ QQT84 one pair 384 0.62% 1 : 161 97.47%
55 JJ JJT84 one pair 384 0.62% 1 : 161 96.85%
56 AT ATT84 one pair 384 0.62% 1 : 161 96.23%
57 KT KTT84 one pair 384 0.62% 1 : 161 95.61%
58 QT QTT84 one pair 384 0.62% 1 : 161 94.99%
59 JT JTT84 one pair 384 0.62% 1 : 161 94.37%
60 T9 TT984 one pair 384 0.62% 1 : 161 93.75%
61 T7 TT874 one pair 384 0.62% 1 : 161 93.14%
62 T6 TT864 one pair 384 0.62% 1 : 161 92.52%
63 T5 TT854 one pair 384 0.62% 1 : 161 91.90%
64 T3 TT843 one pair 384 0.62% 1 : 161 91.28%
65 T2 TT842 one pair 384 0.62% 1 : 161 90.66%
66 99 T9984 one pair 384 0.62% 1 : 161 90.04%
67 A8 AT884 one pair 384 0.62% 1 : 161 89.42%
68 K8 KT884 one pair 384 0.62% 1 : 161 88.81%
69 Q8 QT884 one pair 384 0.62% 1 : 161 88.19%
70 J8 JT884 one pair 384 0.62% 1 : 161 87.57%
71 98 T9884 one pair 384 0.62% 1 : 161 86.95%
72 87 T8874 one pair 384 0.62% 1 : 161 86.33%
73 86 T8864 one pair 384 0.62% 1 : 161 85.71%
74 85 T8854 one pair 384 0.62% 1 : 161 85.09%
75 83 T8843 one pair 384 0.62% 1 : 161 84.47%
76 82 T8842 one pair 384 0.62% 1 : 161 83.86%
77 77 T8774 one pair 384 0.62% 1 : 161 83.24%
78 66 T8664 one pair 384 0.62% 1 : 161 82.62%
79 55 T8554 one pair 384 0.62% 1 : 161 82.00%
80 A4 AT844 one pair 384 0.62% 1 : 161 81.38%
81 K4 KT844 one pair 384 0.62% 1 : 161 80.76%
82 Q4 QT844 one pair 384 0.62% 1 : 161 80.14%
83 J4 JT844 one pair 384 0.62% 1 : 161 79.52%
84 94 T9844 one pair 384 0.62% 1 : 161 78.91%
85 74 T8744 one pair 384 0.62% 1 : 161 78.29%
86 64 T8644 one pair 384 0.62% 1 : 161 77.67%
87 54 T8544 one pair 384 0.62% 1 : 161 77.05%
88 43 T8443 one pair 384 0.62% 1 : 161 76.43%
89 42 T8442 one pair 384 0.62% 1 : 161 75.81%
90 33 T8433 one pair 384 0.62% 1 : 161 75.19%
91 22 T8422 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKT84 high card 1,020 1.64% 1 : 59.8 73.96%
93 AQ AQT84 high card 1,020 1.64% 1 : 59.8 72.31%
94 AJ AJT84 high card 1,020 1.64% 1 : 59.8 70.67%
95 A9 AT984 high card 1,020 1.64% 1 : 59.8 69.03%
96 A7 AT874 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 AT864 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 AT854 high card 1,020 1.64% 1 : 59.8 64.10%
99 A3 AT843 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AT842 high card 1,020 1.64% 1 : 59.8 60.81%
101 KQ KQT84 high card 1,020 1.64% 1 : 59.8 59.16%
102 KJ KJT84 high card 1,020 1.64% 1 : 59.8 57.52%
103 K9 KT984 high card 1,020 1.64% 1 : 59.8 55.88%
104 K7 KT874 high card 1,020 1.64% 1 : 59.8 54.23%
105 K6 KT864 high card 1,020 1.64% 1 : 59.8 52.59%
106 K5 KT854 high card 1,020 1.64% 1 : 59.8 50.95%
107 K3 KT843 high card 1,020 1.64% 1 : 59.8 49.30%
108 K2 KT842 high card 1,020 1.64% 1 : 59.8 47.66%
109 QJ QJT84 high card 1,020 1.64% 1 : 59.8 46.02%
110 Q9 QT984 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q7 QT874 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q6 QT864 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q5 QT854 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q3 QT843 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q2 QT842 high card 1,020 1.64% 1 : 59.8 36.16%
116 J9 JT984 high card 1,020 1.64% 1 : 59.8 34.51%
117 J7 JT874 high card 1,020 1.64% 1 : 59.8 32.87%
118 J6 JT864 high card 1,020 1.64% 1 : 59.8 31.23%
119 J5 JT854 high card 1,020 1.64% 1 : 59.8 29.58%
120 J3 JT843 high card 1,020 1.64% 1 : 59.8 27.94%
121 J2 JT842 high card 1,020 1.64% 1 : 59.8 26.30%
122 97 T9874 high card 1,020 1.64% 1 : 59.8 24.65%
123 96 T9864 high card 1,020 1.64% 1 : 59.8 23.01%
124 95 T9854 high card 1,020 1.64% 1 : 59.8 21.37%
125 93 T9843 high card 1,020 1.64% 1 : 59.8 19.72%
126 92 T9842 high card 1,020 1.64% 1 : 59.8 18.08%
127 76 T8764 high card 1,020 1.64% 1 : 59.8 16.43%
128 75 T8754 high card 1,020 1.64% 1 : 59.8 14.79%
129 73 T8743 high card 1,020 1.64% 1 : 59.8 13.15%
130 72 T8742 high card 1,020 1.64% 1 : 59.8 11.50%
131 65 T8654 high card 1,020 1.64% 1 : 59.8 9.86%
132 63 T8643 high card 1,020 1.64% 1 : 59.8 8.22%
133 62 T8642 high card 1,020 1.64% 1 : 59.8 6.57%
134 53 T8543 high card 1,020 1.64% 1 : 59.8 4.93%
135 52 T8542 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 T8432 high card 1,020 1.64% 1 : 59.8 1.64%