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 KQs AKQT6 flush 4 0.01% 1 : 15515 100.00%
2 KJs AKJT6 flush 4 0.01% 1 : 15515 99.99%
3 K9s AKT96 flush 4 0.01% 1 : 15515 99.99%
4 K8s AKT86 flush 4 0.01% 1 : 15515 99.98%
5 K7s AKT76 flush 4 0.01% 1 : 15515 99.97%
6 K5s AKT65 flush 4 0.01% 1 : 15515 99.97%
7 K4s AKT64 flush 4 0.01% 1 : 15515 99.96%
8 K3s AKT63 flush 4 0.01% 1 : 15515 99.95%
9 K2s AKT62 flush 4 0.01% 1 : 15515 99.95%
10 QJs AQJT6 flush 4 0.01% 1 : 15515 99.94%
11 Q9s AQT96 flush 4 0.01% 1 : 15515 99.94%
12 Q8s AQT86 flush 4 0.01% 1 : 15515 99.93%
13 Q7s AQT76 flush 4 0.01% 1 : 15515 99.92%
14 Q5s AQT65 flush 4 0.01% 1 : 15515 99.92%
15 Q4s AQT64 flush 4 0.01% 1 : 15515 99.91%
16 Q3s AQT63 flush 4 0.01% 1 : 15515 99.90%
17 Q2s AQT62 flush 4 0.01% 1 : 15515 99.90%
18 J9s AJT96 flush 4 0.01% 1 : 15515 99.89%
19 J8s AJT86 flush 4 0.01% 1 : 15515 99.88%
20 J7s AJT76 flush 4 0.01% 1 : 15515 99.88%
21 J5s AJT65 flush 4 0.01% 1 : 15515 99.87%
22 J4s AJT64 flush 4 0.01% 1 : 15515 99.86%
23 J3s AJT63 flush 4 0.01% 1 : 15515 99.86%
24 J2s AJT62 flush 4 0.01% 1 : 15515 99.85%
25 98s AT986 flush 4 0.01% 1 : 15515 99.85%
26 97s AT976 flush 4 0.01% 1 : 15515 99.84%
27 95s AT965 flush 4 0.01% 1 : 15515 99.83%
28 94s AT964 flush 4 0.01% 1 : 15515 99.83%
29 93s AT963 flush 4 0.01% 1 : 15515 99.82%
30 92s AT962 flush 4 0.01% 1 : 15515 99.81%
31 87s AT876 flush 4 0.01% 1 : 15515 99.81%
32 85s AT865 flush 4 0.01% 1 : 15515 99.80%
33 84s AT864 flush 4 0.01% 1 : 15515 99.79%
34 83s AT863 flush 4 0.01% 1 : 15515 99.79%
35 82s AT862 flush 4 0.01% 1 : 15515 99.78%
36 75s AT765 flush 4 0.01% 1 : 15515 99.77%
37 74s AT764 flush 4 0.01% 1 : 15515 99.77%
38 73s AT763 flush 4 0.01% 1 : 15515 99.76%
39 72s AT762 flush 4 0.01% 1 : 15515 99.76%
40 54s AT654 flush 4 0.01% 1 : 15515 99.75%
41 53s AT653 flush 4 0.01% 1 : 15515 99.74%
42 52s AT652 flush 4 0.01% 1 : 15515 99.74%
43 43s AT643 flush 4 0.01% 1 : 15515 99.73%
44 42s AT642 flush 4 0.01% 1 : 15515 99.72%
45 32s AT632 flush 4 0.01% 1 : 15515 99.72%
 
46 AA AAAT6 three of a kind 64 0.10% 1 : 969 99.71%
47 TT ATTT6 three of a kind 64 0.10% 1 : 969 99.61%
48 66 AT666 three of a kind 64 0.10% 1 : 969 99.50%
 
49 AT AATT6 two pairs 144 0.23% 1 : 430 99.40%
50 A6 AAT66 two pairs 144 0.23% 1 : 430 99.17%
51 T6 ATT66 two pairs 144 0.23% 1 : 430 98.94%
 
52 AK AAKT6 one pair 384 0.62% 1 : 161 98.70%
53 AQ AAQT6 one pair 384 0.62% 1 : 161 98.09%
54 AJ AAJT6 one pair 384 0.62% 1 : 161 97.47%
55 A9 AAT96 one pair 384 0.62% 1 : 161 96.85%
56 A8 AAT86 one pair 384 0.62% 1 : 161 96.23%
57 A7 AAT76 one pair 384 0.62% 1 : 161 95.61%
58 A5 AAT65 one pair 384 0.62% 1 : 161 94.99%
59 A4 AAT64 one pair 384 0.62% 1 : 161 94.37%
60 A3 AAT63 one pair 384 0.62% 1 : 161 93.75%
61 A2 AAT62 one pair 384 0.62% 1 : 161 93.14%
62 KK AKKT6 one pair 384 0.62% 1 : 161 92.52%
63 QQ AQQT6 one pair 384 0.62% 1 : 161 91.90%
64 JJ AJJT6 one pair 384 0.62% 1 : 161 91.28%
65 KT AKTT6 one pair 384 0.62% 1 : 161 90.66%
66 QT AQTT6 one pair 384 0.62% 1 : 161 90.04%
67 JT AJTT6 one pair 384 0.62% 1 : 161 89.42%
68 T9 ATT96 one pair 384 0.62% 1 : 161 88.81%
69 T8 ATT86 one pair 384 0.62% 1 : 161 88.19%
70 T7 ATT76 one pair 384 0.62% 1 : 161 87.57%
71 T5 ATT65 one pair 384 0.62% 1 : 161 86.95%
72 T4 ATT64 one pair 384 0.62% 1 : 161 86.33%
73 T3 ATT63 one pair 384 0.62% 1 : 161 85.71%
74 T2 ATT62 one pair 384 0.62% 1 : 161 85.09%
75 99 AT996 one pair 384 0.62% 1 : 161 84.47%
76 88 AT886 one pair 384 0.62% 1 : 161 83.86%
77 77 AT776 one pair 384 0.62% 1 : 161 83.24%
78 K6 AKT66 one pair 384 0.62% 1 : 161 82.62%
79 Q6 AQT66 one pair 384 0.62% 1 : 161 82.00%
80 J6 AJT66 one pair 384 0.62% 1 : 161 81.38%
81 96 AT966 one pair 384 0.62% 1 : 161 80.76%
82 86 AT866 one pair 384 0.62% 1 : 161 80.14%
83 76 AT766 one pair 384 0.62% 1 : 161 79.52%
84 65 AT665 one pair 384 0.62% 1 : 161 78.91%
85 64 AT664 one pair 384 0.62% 1 : 161 78.29%
86 63 AT663 one pair 384 0.62% 1 : 161 77.67%
87 62 AT662 one pair 384 0.62% 1 : 161 77.05%
88 55 AT655 one pair 384 0.62% 1 : 161 76.43%
89 44 AT644 one pair 384 0.62% 1 : 161 75.81%
90 33 AT633 one pair 384 0.62% 1 : 161 75.19%
91 22 AT622 one pair 384 0.62% 1 : 161 74.57%
 
92 KQ AKQT6 high card 1,020 1.64% 1 : 59.8 73.96%
93 KJ AKJT6 high card 1,020 1.64% 1 : 59.8 72.31%
94 K9 AKT96 high card 1,020 1.64% 1 : 59.8 70.67%
95 K8 AKT86 high card 1,020 1.64% 1 : 59.8 69.03%
96 K7 AKT76 high card 1,020 1.64% 1 : 59.8 67.38%
97 K5 AKT65 high card 1,020 1.64% 1 : 59.8 65.74%
98 K4 AKT64 high card 1,020 1.64% 1 : 59.8 64.10%
99 K3 AKT63 high card 1,020 1.64% 1 : 59.8 62.45%
100 K2 AKT62 high card 1,020 1.64% 1 : 59.8 60.81%
101 QJ AQJT6 high card 1,020 1.64% 1 : 59.8 59.16%
102 Q9 AQT96 high card 1,020 1.64% 1 : 59.8 57.52%
103 Q8 AQT86 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q7 AQT76 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q5 AQT65 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q4 AQT64 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q3 AQT63 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q2 AQT62 high card 1,020 1.64% 1 : 59.8 47.66%
109 J9 AJT96 high card 1,020 1.64% 1 : 59.8 46.02%
110 J8 AJT86 high card 1,020 1.64% 1 : 59.8 44.37%
111 J7 AJT76 high card 1,020 1.64% 1 : 59.8 42.73%
112 J5 AJT65 high card 1,020 1.64% 1 : 59.8 41.09%
113 J4 AJT64 high card 1,020 1.64% 1 : 59.8 39.44%
114 J3 AJT63 high card 1,020 1.64% 1 : 59.8 37.80%
115 J2 AJT62 high card 1,020 1.64% 1 : 59.8 36.16%
116 98 AT986 high card 1,020 1.64% 1 : 59.8 34.51%
117 97 AT976 high card 1,020 1.64% 1 : 59.8 32.87%
118 95 AT965 high card 1,020 1.64% 1 : 59.8 31.23%
119 94 AT964 high card 1,020 1.64% 1 : 59.8 29.58%
120 93 AT963 high card 1,020 1.64% 1 : 59.8 27.94%
121 92 AT962 high card 1,020 1.64% 1 : 59.8 26.30%
122 87 AT876 high card 1,020 1.64% 1 : 59.8 24.65%
123 85 AT865 high card 1,020 1.64% 1 : 59.8 23.01%
124 84 AT864 high card 1,020 1.64% 1 : 59.8 21.37%
125 83 AT863 high card 1,020 1.64% 1 : 59.8 19.72%
126 82 AT862 high card 1,020 1.64% 1 : 59.8 18.08%
127 75 AT765 high card 1,020 1.64% 1 : 59.8 16.43%
128 74 AT764 high card 1,020 1.64% 1 : 59.8 14.79%
129 73 AT763 high card 1,020 1.64% 1 : 59.8 13.15%
130 72 AT762 high card 1,020 1.64% 1 : 59.8 11.50%
131 54 AT654 high card 1,020 1.64% 1 : 59.8 9.86%
132 53 AT653 high card 1,020 1.64% 1 : 59.8 8.22%
133 52 AT652 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 AT643 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 AT642 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 AT632 high card 1,020 1.64% 1 : 59.8 1.64%