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 AKT94 flush 4 0.01% 1 : 15515 100.00%
2 AQs AQT94 flush 4 0.01% 1 : 15515 99.99%
3 AJs AJT94 flush 4 0.01% 1 : 15515 99.99%
4 A8s AT984 flush 4 0.01% 1 : 15515 99.98%
5 A7s AT974 flush 4 0.01% 1 : 15515 99.97%
6 A6s AT964 flush 4 0.01% 1 : 15515 99.97%
7 A5s AT954 flush 4 0.01% 1 : 15515 99.96%
8 A3s AT943 flush 4 0.01% 1 : 15515 99.95%
9 A2s AT942 flush 4 0.01% 1 : 15515 99.95%
10 KQs KQT94 flush 4 0.01% 1 : 15515 99.94%
11 KJs KJT94 flush 4 0.01% 1 : 15515 99.94%
12 K8s KT984 flush 4 0.01% 1 : 15515 99.93%
13 K7s KT974 flush 4 0.01% 1 : 15515 99.92%
14 K6s KT964 flush 4 0.01% 1 : 15515 99.92%
15 K5s KT954 flush 4 0.01% 1 : 15515 99.91%
16 K3s KT943 flush 4 0.01% 1 : 15515 99.90%
17 K2s KT942 flush 4 0.01% 1 : 15515 99.90%
18 QJs QJT94 flush 4 0.01% 1 : 15515 99.89%
19 Q8s QT984 flush 4 0.01% 1 : 15515 99.88%
20 Q7s QT974 flush 4 0.01% 1 : 15515 99.88%
21 Q6s QT964 flush 4 0.01% 1 : 15515 99.87%
22 Q5s QT954 flush 4 0.01% 1 : 15515 99.86%
23 Q3s QT943 flush 4 0.01% 1 : 15515 99.86%
24 Q2s QT942 flush 4 0.01% 1 : 15515 99.85%
25 J8s JT984 flush 4 0.01% 1 : 15515 99.85%
26 J7s JT974 flush 4 0.01% 1 : 15515 99.84%
27 J6s JT964 flush 4 0.01% 1 : 15515 99.83%
28 J5s JT954 flush 4 0.01% 1 : 15515 99.83%
29 J3s JT943 flush 4 0.01% 1 : 15515 99.82%
30 J2s JT942 flush 4 0.01% 1 : 15515 99.81%
31 87s T9874 flush 4 0.01% 1 : 15515 99.81%
32 86s T9864 flush 4 0.01% 1 : 15515 99.80%
33 85s T9854 flush 4 0.01% 1 : 15515 99.79%
34 83s T9843 flush 4 0.01% 1 : 15515 99.79%
35 82s T9842 flush 4 0.01% 1 : 15515 99.78%
36 76s T9764 flush 4 0.01% 1 : 15515 99.77%
37 75s T9754 flush 4 0.01% 1 : 15515 99.77%
38 73s T9743 flush 4 0.01% 1 : 15515 99.76%
39 72s T9742 flush 4 0.01% 1 : 15515 99.76%
40 65s T9654 flush 4 0.01% 1 : 15515 99.75%
41 63s T9643 flush 4 0.01% 1 : 15515 99.74%
42 62s T9642 flush 4 0.01% 1 : 15515 99.74%
43 53s T9543 flush 4 0.01% 1 : 15515 99.73%
44 52s T9542 flush 4 0.01% 1 : 15515 99.72%
45 32s T9432 flush 4 0.01% 1 : 15515 99.72%
 
46 TT TTT94 three of a kind 64 0.10% 1 : 969 99.71%
47 99 T9994 three of a kind 64 0.10% 1 : 969 99.61%
48 44 T9444 three of a kind 64 0.10% 1 : 969 99.50%
 
49 T9 TT994 two pairs 144 0.23% 1 : 430 99.40%
50 T4 TT944 two pairs 144 0.23% 1 : 430 99.17%
51 94 T9944 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAT94 one pair 384 0.62% 1 : 161 98.70%
53 KK KKT94 one pair 384 0.62% 1 : 161 98.09%
54 QQ QQT94 one pair 384 0.62% 1 : 161 97.47%
55 JJ JJT94 one pair 384 0.62% 1 : 161 96.85%
56 AT ATT94 one pair 384 0.62% 1 : 161 96.23%
57 KT KTT94 one pair 384 0.62% 1 : 161 95.61%
58 QT QTT94 one pair 384 0.62% 1 : 161 94.99%
59 JT JTT94 one pair 384 0.62% 1 : 161 94.37%
60 T8 TT984 one pair 384 0.62% 1 : 161 93.75%
61 T7 TT974 one pair 384 0.62% 1 : 161 93.14%
62 T6 TT964 one pair 384 0.62% 1 : 161 92.52%
63 T5 TT954 one pair 384 0.62% 1 : 161 91.90%
64 T3 TT943 one pair 384 0.62% 1 : 161 91.28%
65 T2 TT942 one pair 384 0.62% 1 : 161 90.66%
66 A9 AT994 one pair 384 0.62% 1 : 161 90.04%
67 K9 KT994 one pair 384 0.62% 1 : 161 89.42%
68 Q9 QT994 one pair 384 0.62% 1 : 161 88.81%
69 J9 JT994 one pair 384 0.62% 1 : 161 88.19%
70 98 T9984 one pair 384 0.62% 1 : 161 87.57%
71 97 T9974 one pair 384 0.62% 1 : 161 86.95%
72 96 T9964 one pair 384 0.62% 1 : 161 86.33%
73 95 T9954 one pair 384 0.62% 1 : 161 85.71%
74 93 T9943 one pair 384 0.62% 1 : 161 85.09%
75 92 T9942 one pair 384 0.62% 1 : 161 84.47%
76 88 T9884 one pair 384 0.62% 1 : 161 83.86%
77 77 T9774 one pair 384 0.62% 1 : 161 83.24%
78 66 T9664 one pair 384 0.62% 1 : 161 82.62%
79 55 T9554 one pair 384 0.62% 1 : 161 82.00%
80 A4 AT944 one pair 384 0.62% 1 : 161 81.38%
81 K4 KT944 one pair 384 0.62% 1 : 161 80.76%
82 Q4 QT944 one pair 384 0.62% 1 : 161 80.14%
83 J4 JT944 one pair 384 0.62% 1 : 161 79.52%
84 84 T9844 one pair 384 0.62% 1 : 161 78.91%
85 74 T9744 one pair 384 0.62% 1 : 161 78.29%
86 64 T9644 one pair 384 0.62% 1 : 161 77.67%
87 54 T9544 one pair 384 0.62% 1 : 161 77.05%
88 43 T9443 one pair 384 0.62% 1 : 161 76.43%
89 42 T9442 one pair 384 0.62% 1 : 161 75.81%
90 33 T9433 one pair 384 0.62% 1 : 161 75.19%
91 22 T9422 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKT94 high card 1,020 1.64% 1 : 59.8 73.96%
93 AQ AQT94 high card 1,020 1.64% 1 : 59.8 72.31%
94 AJ AJT94 high card 1,020 1.64% 1 : 59.8 70.67%
95 A8 AT984 high card 1,020 1.64% 1 : 59.8 69.03%
96 A7 AT974 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 AT964 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 AT954 high card 1,020 1.64% 1 : 59.8 64.10%
99 A3 AT943 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AT942 high card 1,020 1.64% 1 : 59.8 60.81%
101 KQ KQT94 high card 1,020 1.64% 1 : 59.8 59.16%
102 KJ KJT94 high card 1,020 1.64% 1 : 59.8 57.52%
103 K8 KT984 high card 1,020 1.64% 1 : 59.8 55.88%
104 K7 KT974 high card 1,020 1.64% 1 : 59.8 54.23%
105 K6 KT964 high card 1,020 1.64% 1 : 59.8 52.59%
106 K5 KT954 high card 1,020 1.64% 1 : 59.8 50.95%
107 K3 KT943 high card 1,020 1.64% 1 : 59.8 49.30%
108 K2 KT942 high card 1,020 1.64% 1 : 59.8 47.66%
109 QJ QJT94 high card 1,020 1.64% 1 : 59.8 46.02%
110 Q8 QT984 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q7 QT974 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q6 QT964 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q5 QT954 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q3 QT943 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q2 QT942 high card 1,020 1.64% 1 : 59.8 36.16%
116 J8 JT984 high card 1,020 1.64% 1 : 59.8 34.51%
117 J7 JT974 high card 1,020 1.64% 1 : 59.8 32.87%
118 J6 JT964 high card 1,020 1.64% 1 : 59.8 31.23%
119 J5 JT954 high card 1,020 1.64% 1 : 59.8 29.58%
120 J3 JT943 high card 1,020 1.64% 1 : 59.8 27.94%
121 J2 JT942 high card 1,020 1.64% 1 : 59.8 26.30%
122 87 T9874 high card 1,020 1.64% 1 : 59.8 24.65%
123 86 T9864 high card 1,020 1.64% 1 : 59.8 23.01%
124 85 T9854 high card 1,020 1.64% 1 : 59.8 21.37%
125 83 T9843 high card 1,020 1.64% 1 : 59.8 19.72%
126 82 T9842 high card 1,020 1.64% 1 : 59.8 18.08%
127 76 T9764 high card 1,020 1.64% 1 : 59.8 16.43%
128 75 T9754 high card 1,020 1.64% 1 : 59.8 14.79%
129 73 T9743 high card 1,020 1.64% 1 : 59.8 13.15%
130 72 T9742 high card 1,020 1.64% 1 : 59.8 11.50%
131 65 T9654 high card 1,020 1.64% 1 : 59.8 9.86%
132 63 T9643 high card 1,020 1.64% 1 : 59.8 8.22%
133 62 T9642 high card 1,020 1.64% 1 : 59.8 6.57%
134 53 T9543 high card 1,020 1.64% 1 : 59.8 4.93%
135 52 T9542 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 T9432 high card 1,020 1.64% 1 : 59.8 1.64%