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 AQs AKQ65 flush 4 0.01% 1 : 15515 100.00%
2 AJs AKJ65 flush 4 0.01% 1 : 15515 99.99%
3 ATs AKT65 flush 4 0.01% 1 : 15515 99.99%
4 A9s AK965 flush 4 0.01% 1 : 15515 99.98%
5 A8s AK865 flush 4 0.01% 1 : 15515 99.97%
6 A7s AK765 flush 4 0.01% 1 : 15515 99.97%
7 A4s AK654 flush 4 0.01% 1 : 15515 99.96%
8 A3s AK653 flush 4 0.01% 1 : 15515 99.95%
9 A2s AK652 flush 4 0.01% 1 : 15515 99.95%
10 QJs KQJ65 flush 4 0.01% 1 : 15515 99.94%
11 QTs KQT65 flush 4 0.01% 1 : 15515 99.94%
12 Q9s KQ965 flush 4 0.01% 1 : 15515 99.93%
13 Q8s KQ865 flush 4 0.01% 1 : 15515 99.92%
14 Q7s KQ765 flush 4 0.01% 1 : 15515 99.92%
15 Q4s KQ654 flush 4 0.01% 1 : 15515 99.91%
16 Q3s KQ653 flush 4 0.01% 1 : 15515 99.90%
17 Q2s KQ652 flush 4 0.01% 1 : 15515 99.90%
18 JTs KJT65 flush 4 0.01% 1 : 15515 99.89%
19 J9s KJ965 flush 4 0.01% 1 : 15515 99.88%
20 J8s KJ865 flush 4 0.01% 1 : 15515 99.88%
21 J7s KJ765 flush 4 0.01% 1 : 15515 99.87%
22 J4s KJ654 flush 4 0.01% 1 : 15515 99.86%
23 J3s KJ653 flush 4 0.01% 1 : 15515 99.86%
24 J2s KJ652 flush 4 0.01% 1 : 15515 99.85%
25 T9s KT965 flush 4 0.01% 1 : 15515 99.85%
26 T8s KT865 flush 4 0.01% 1 : 15515 99.84%
27 T7s KT765 flush 4 0.01% 1 : 15515 99.83%
28 T4s KT654 flush 4 0.01% 1 : 15515 99.83%
29 T3s KT653 flush 4 0.01% 1 : 15515 99.82%
30 T2s KT652 flush 4 0.01% 1 : 15515 99.81%
31 98s K9865 flush 4 0.01% 1 : 15515 99.81%
32 97s K9765 flush 4 0.01% 1 : 15515 99.80%
33 94s K9654 flush 4 0.01% 1 : 15515 99.79%
34 93s K9653 flush 4 0.01% 1 : 15515 99.79%
35 92s K9652 flush 4 0.01% 1 : 15515 99.78%
36 87s K8765 flush 4 0.01% 1 : 15515 99.77%
37 84s K8654 flush 4 0.01% 1 : 15515 99.77%
38 83s K8653 flush 4 0.01% 1 : 15515 99.76%
39 82s K8652 flush 4 0.01% 1 : 15515 99.76%
40 74s K7654 flush 4 0.01% 1 : 15515 99.75%
41 73s K7653 flush 4 0.01% 1 : 15515 99.74%
42 72s K7652 flush 4 0.01% 1 : 15515 99.74%
43 43s K6543 flush 4 0.01% 1 : 15515 99.73%
44 42s K6542 flush 4 0.01% 1 : 15515 99.72%
45 32s K6532 flush 4 0.01% 1 : 15515 99.72%
 
46 KK KKK65 three of a kind 64 0.10% 1 : 969 99.71%
47 66 K6665 three of a kind 64 0.10% 1 : 969 99.61%
48 55 K6555 three of a kind 64 0.10% 1 : 969 99.50%
 
49 K6 KK665 two pairs 144 0.23% 1 : 430 99.40%
50 K5 KK655 two pairs 144 0.23% 1 : 430 99.17%
51 65 K6655 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAK65 one pair 384 0.62% 1 : 161 98.70%
53 AK AKK65 one pair 384 0.62% 1 : 161 98.09%
54 KQ KKQ65 one pair 384 0.62% 1 : 161 97.47%
55 KJ KKJ65 one pair 384 0.62% 1 : 161 96.85%
56 KT KKT65 one pair 384 0.62% 1 : 161 96.23%
57 K9 KK965 one pair 384 0.62% 1 : 161 95.61%
58 K8 KK865 one pair 384 0.62% 1 : 161 94.99%
59 K7 KK765 one pair 384 0.62% 1 : 161 94.37%
60 K4 KK654 one pair 384 0.62% 1 : 161 93.75%
61 K3 KK653 one pair 384 0.62% 1 : 161 93.14%
62 K2 KK652 one pair 384 0.62% 1 : 161 92.52%
63 QQ KQQ65 one pair 384 0.62% 1 : 161 91.90%
64 JJ KJJ65 one pair 384 0.62% 1 : 161 91.28%
65 TT KTT65 one pair 384 0.62% 1 : 161 90.66%
66 99 K9965 one pair 384 0.62% 1 : 161 90.04%
67 88 K8865 one pair 384 0.62% 1 : 161 89.42%
68 77 K7765 one pair 384 0.62% 1 : 161 88.81%
69 A6 AK665 one pair 384 0.62% 1 : 161 88.19%
70 Q6 KQ665 one pair 384 0.62% 1 : 161 87.57%
71 J6 KJ665 one pair 384 0.62% 1 : 161 86.95%
72 T6 KT665 one pair 384 0.62% 1 : 161 86.33%
73 96 K9665 one pair 384 0.62% 1 : 161 85.71%
74 86 K8665 one pair 384 0.62% 1 : 161 85.09%
75 76 K7665 one pair 384 0.62% 1 : 161 84.47%
76 64 K6654 one pair 384 0.62% 1 : 161 83.86%
77 63 K6653 one pair 384 0.62% 1 : 161 83.24%
78 62 K6652 one pair 384 0.62% 1 : 161 82.62%
79 A5 AK655 one pair 384 0.62% 1 : 161 82.00%
80 Q5 KQ655 one pair 384 0.62% 1 : 161 81.38%
81 J5 KJ655 one pair 384 0.62% 1 : 161 80.76%
82 T5 KT655 one pair 384 0.62% 1 : 161 80.14%
83 95 K9655 one pair 384 0.62% 1 : 161 79.52%
84 85 K8655 one pair 384 0.62% 1 : 161 78.91%
85 75 K7655 one pair 384 0.62% 1 : 161 78.29%
86 54 K6554 one pair 384 0.62% 1 : 161 77.67%
87 53 K6553 one pair 384 0.62% 1 : 161 77.05%
88 52 K6552 one pair 384 0.62% 1 : 161 76.43%
89 44 K6544 one pair 384 0.62% 1 : 161 75.81%
90 33 K6533 one pair 384 0.62% 1 : 161 75.19%
91 22 K6522 one pair 384 0.62% 1 : 161 74.57%
 
92 AQ AKQ65 high card 1,020 1.64% 1 : 59.8 73.96%
93 AJ AKJ65 high card 1,020 1.64% 1 : 59.8 72.31%
94 AT AKT65 high card 1,020 1.64% 1 : 59.8 70.67%
95 A9 AK965 high card 1,020 1.64% 1 : 59.8 69.03%
96 A8 AK865 high card 1,020 1.64% 1 : 59.8 67.38%
97 A7 AK765 high card 1,020 1.64% 1 : 59.8 65.74%
98 A4 AK654 high card 1,020 1.64% 1 : 59.8 64.10%
99 A3 AK653 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AK652 high card 1,020 1.64% 1 : 59.8 60.81%
101 QJ KQJ65 high card 1,020 1.64% 1 : 59.8 59.16%
102 QT KQT65 high card 1,020 1.64% 1 : 59.8 57.52%
103 Q9 KQ965 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q8 KQ865 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q7 KQ765 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q4 KQ654 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q3 KQ653 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q2 KQ652 high card 1,020 1.64% 1 : 59.8 47.66%
109 JT KJT65 high card 1,020 1.64% 1 : 59.8 46.02%
110 J9 KJ965 high card 1,020 1.64% 1 : 59.8 44.37%
111 J8 KJ865 high card 1,020 1.64% 1 : 59.8 42.73%
112 J7 KJ765 high card 1,020 1.64% 1 : 59.8 41.09%
113 J4 KJ654 high card 1,020 1.64% 1 : 59.8 39.44%
114 J3 KJ653 high card 1,020 1.64% 1 : 59.8 37.80%
115 J2 KJ652 high card 1,020 1.64% 1 : 59.8 36.16%
116 T9 KT965 high card 1,020 1.64% 1 : 59.8 34.51%
117 T8 KT865 high card 1,020 1.64% 1 : 59.8 32.87%
118 T7 KT765 high card 1,020 1.64% 1 : 59.8 31.23%
119 T4 KT654 high card 1,020 1.64% 1 : 59.8 29.58%
120 T3 KT653 high card 1,020 1.64% 1 : 59.8 27.94%
121 T2 KT652 high card 1,020 1.64% 1 : 59.8 26.30%
122 98 K9865 high card 1,020 1.64% 1 : 59.8 24.65%
123 97 K9765 high card 1,020 1.64% 1 : 59.8 23.01%
124 94 K9654 high card 1,020 1.64% 1 : 59.8 21.37%
125 93 K9653 high card 1,020 1.64% 1 : 59.8 19.72%
126 92 K9652 high card 1,020 1.64% 1 : 59.8 18.08%
127 87 K8765 high card 1,020 1.64% 1 : 59.8 16.43%
128 84 K8654 high card 1,020 1.64% 1 : 59.8 14.79%
129 83 K8653 high card 1,020 1.64% 1 : 59.8 13.15%
130 82 K8652 high card 1,020 1.64% 1 : 59.8 11.50%
131 74 K7654 high card 1,020 1.64% 1 : 59.8 9.86%
132 73 K7653 high card 1,020 1.64% 1 : 59.8 8.22%
133 72 K7652 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 K6543 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 K6542 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 K6532 high card 1,020 1.64% 1 : 59.8 1.64%