non-flush example flush example



distribution of hand types
distinct combinations probability odds
royal flush 1 4 0.01% 1 : 15515
straight flush 1 4 0.01% 1 : 15515
four of a kind 0 0 impossible impossible
full house 0 0 impossible impossible
flush 43 172 0.28% 1 : 360
straight 2 2,040 3.29% 1 : 29.4
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 43 43,860 70.67% 2.41 : 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 AKQJT royal flush 4 0.01% 1 : 15515 100.00%
 
2 Q9s KQJT9 straight flush 4 0.01% 1 : 15515 99.99%
 
3 A9s AKJT9 flush 4 0.01% 1 : 15515 99.99%
4 A8s AKJT8 flush 4 0.01% 1 : 15515 99.98%
5 A7s AKJT7 flush 4 0.01% 1 : 15515 99.97%
6 A6s AKJT6 flush 4 0.01% 1 : 15515 99.97%
7 A5s AKJT5 flush 4 0.01% 1 : 15515 99.96%
8 A4s AKJT4 flush 4 0.01% 1 : 15515 99.95%
9 A3s AKJT3 flush 4 0.01% 1 : 15515 99.95%
10 A2s AKJT2 flush 4 0.01% 1 : 15515 99.94%
11 Q8s KQJT8 flush 4 0.01% 1 : 15515 99.94%
12 Q7s KQJT7 flush 4 0.01% 1 : 15515 99.93%
13 Q6s KQJT6 flush 4 0.01% 1 : 15515 99.92%
14 Q5s KQJT5 flush 4 0.01% 1 : 15515 99.92%
15 Q4s KQJT4 flush 4 0.01% 1 : 15515 99.91%
16 Q3s KQJT3 flush 4 0.01% 1 : 15515 99.90%
17 Q2s KQJT2 flush 4 0.01% 1 : 15515 99.90%
18 98s KJT98 flush 4 0.01% 1 : 15515 99.89%
19 97s KJT97 flush 4 0.01% 1 : 15515 99.88%
20 96s KJT96 flush 4 0.01% 1 : 15515 99.88%
21 95s KJT95 flush 4 0.01% 1 : 15515 99.87%
22 94s KJT94 flush 4 0.01% 1 : 15515 99.86%
23 93s KJT93 flush 4 0.01% 1 : 15515 99.86%
24 92s KJT92 flush 4 0.01% 1 : 15515 99.85%
25 87s KJT87 flush 4 0.01% 1 : 15515 99.85%
26 86s KJT86 flush 4 0.01% 1 : 15515 99.84%
27 85s KJT85 flush 4 0.01% 1 : 15515 99.83%
28 84s KJT84 flush 4 0.01% 1 : 15515 99.83%
29 83s KJT83 flush 4 0.01% 1 : 15515 99.82%
30 82s KJT82 flush 4 0.01% 1 : 15515 99.81%
31 76s KJT76 flush 4 0.01% 1 : 15515 99.81%
32 75s KJT75 flush 4 0.01% 1 : 15515 99.80%
33 74s KJT74 flush 4 0.01% 1 : 15515 99.79%
34 73s KJT73 flush 4 0.01% 1 : 15515 99.79%
35 72s KJT72 flush 4 0.01% 1 : 15515 99.78%
36 65s KJT65 flush 4 0.01% 1 : 15515 99.77%
37 64s KJT64 flush 4 0.01% 1 : 15515 99.77%
38 63s KJT63 flush 4 0.01% 1 : 15515 99.76%
39 62s KJT62 flush 4 0.01% 1 : 15515 99.76%
40 54s KJT54 flush 4 0.01% 1 : 15515 99.75%
41 53s KJT53 flush 4 0.01% 1 : 15515 99.74%
42 52s KJT52 flush 4 0.01% 1 : 15515 99.74%
43 43s KJT43 flush 4 0.01% 1 : 15515 99.73%
44 42s KJT42 flush 4 0.01% 1 : 15515 99.72%
45 32s KJT32 flush 4 0.01% 1 : 15515 99.72%
 
46 AQ AKQJT straight 1,020 1.64% 1 : 59.8 99.71%
47 Q9 KQJT9 straight 1,020 1.64% 1 : 59.8 98.07%
 
48 KK KKKJT three of a kind 64 0.10% 1 : 969 96.42%
49 JJ KJJJT three of a kind 64 0.10% 1 : 969 96.32%
50 TT KJTTT three of a kind 64 0.10% 1 : 969 96.22%
 
51 KJ KKJJT two pairs 144 0.23% 1 : 430 96.11%
52 KT KKJTT two pairs 144 0.23% 1 : 430 95.88%
53 JT KJJTT two pairs 144 0.23% 1 : 430 95.65%
 
54 AA AAKJT one pair 384 0.62% 1 : 161 95.42%
55 AK AKKJT one pair 384 0.62% 1 : 161 94.80%
56 KQ KKQJT one pair 384 0.62% 1 : 161 94.18%
57 K9 KKJT9 one pair 384 0.62% 1 : 161 93.56%
58 K8 KKJT8 one pair 384 0.62% 1 : 161 92.94%
59 K7 KKJT7 one pair 384 0.62% 1 : 161 92.32%
60 K6 KKJT6 one pair 384 0.62% 1 : 161 91.71%
61 K5 KKJT5 one pair 384 0.62% 1 : 161 91.09%
62 K4 KKJT4 one pair 384 0.62% 1 : 161 90.47%
63 K3 KKJT3 one pair 384 0.62% 1 : 161 89.85%
64 K2 KKJT2 one pair 384 0.62% 1 : 161 89.23%
65 QQ KQQJT one pair 384 0.62% 1 : 161 88.61%
66 AJ AKJJT one pair 384 0.62% 1 : 161 87.99%
67 QJ KQJJT one pair 384 0.62% 1 : 161 87.37%
68 J9 KJJT9 one pair 384 0.62% 1 : 161 86.76%
69 J8 KJJT8 one pair 384 0.62% 1 : 161 86.14%
70 J7 KJJT7 one pair 384 0.62% 1 : 161 85.52%
71 J6 KJJT6 one pair 384 0.62% 1 : 161 84.90%
72 J5 KJJT5 one pair 384 0.62% 1 : 161 84.28%
73 J4 KJJT4 one pair 384 0.62% 1 : 161 83.66%
74 J3 KJJT3 one pair 384 0.62% 1 : 161 83.04%
75 J2 KJJT2 one pair 384 0.62% 1 : 161 82.42%
76 AT AKJTT one pair 384 0.62% 1 : 161 81.81%
77 QT KQJTT one pair 384 0.62% 1 : 161 81.19%
78 T9 KJTT9 one pair 384 0.62% 1 : 161 80.57%
79 T8 KJTT8 one pair 384 0.62% 1 : 161 79.95%
80 T7 KJTT7 one pair 384 0.62% 1 : 161 79.33%
81 T6 KJTT6 one pair 384 0.62% 1 : 161 78.71%
82 T5 KJTT5 one pair 384 0.62% 1 : 161 78.09%
83 T4 KJTT4 one pair 384 0.62% 1 : 161 77.47%
84 T3 KJTT3 one pair 384 0.62% 1 : 161 76.86%
85 T2 KJTT2 one pair 384 0.62% 1 : 161 76.24%
86 99 KJT99 one pair 384 0.62% 1 : 161 75.62%
87 88 KJT88 one pair 384 0.62% 1 : 161 75.00%
88 77 KJT77 one pair 384 0.62% 1 : 161 74.38%
89 66 KJT66 one pair 384 0.62% 1 : 161 73.76%
90 55 KJT55 one pair 384 0.62% 1 : 161 73.14%
91 44 KJT44 one pair 384 0.62% 1 : 161 72.53%
92 33 KJT33 one pair 384 0.62% 1 : 161 71.91%
93 22 KJT22 one pair 384 0.62% 1 : 161 71.29%
 
94 A9 AKJT9 high card 1,020 1.64% 1 : 59.8 70.67%
95 A8 AKJT8 high card 1,020 1.64% 1 : 59.8 69.03%
96 A7 AKJT7 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 AKJT6 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 AKJT5 high card 1,020 1.64% 1 : 59.8 64.10%
99 A4 AKJT4 high card 1,020 1.64% 1 : 59.8 62.45%
100 A3 AKJT3 high card 1,020 1.64% 1 : 59.8 60.81%
101 A2 AKJT2 high card 1,020 1.64% 1 : 59.8 59.16%
102 Q8 KQJT8 high card 1,020 1.64% 1 : 59.8 57.52%
103 Q7 KQJT7 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q6 KQJT6 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q5 KQJT5 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q4 KQJT4 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q3 KQJT3 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q2 KQJT2 high card 1,020 1.64% 1 : 59.8 47.66%
109 98 KJT98 high card 1,020 1.64% 1 : 59.8 46.02%
110 97 KJT97 high card 1,020 1.64% 1 : 59.8 44.37%
111 96 KJT96 high card 1,020 1.64% 1 : 59.8 42.73%
112 95 KJT95 high card 1,020 1.64% 1 : 59.8 41.09%
113 94 KJT94 high card 1,020 1.64% 1 : 59.8 39.44%
114 93 KJT93 high card 1,020 1.64% 1 : 59.8 37.80%
115 92 KJT92 high card 1,020 1.64% 1 : 59.8 36.16%
116 87 KJT87 high card 1,020 1.64% 1 : 59.8 34.51%
117 86 KJT86 high card 1,020 1.64% 1 : 59.8 32.87%
118 85 KJT85 high card 1,020 1.64% 1 : 59.8 31.23%
119 84 KJT84 high card 1,020 1.64% 1 : 59.8 29.58%
120 83 KJT83 high card 1,020 1.64% 1 : 59.8 27.94%
121 82 KJT82 high card 1,020 1.64% 1 : 59.8 26.30%
122 76 KJT76 high card 1,020 1.64% 1 : 59.8 24.65%
123 75 KJT75 high card 1,020 1.64% 1 : 59.8 23.01%
124 74 KJT74 high card 1,020 1.64% 1 : 59.8 21.37%
125 73 KJT73 high card 1,020 1.64% 1 : 59.8 19.72%
126 72 KJT72 high card 1,020 1.64% 1 : 59.8 18.08%
127 65 KJT65 high card 1,020 1.64% 1 : 59.8 16.43%
128 64 KJT64 high card 1,020 1.64% 1 : 59.8 14.79%
129 63 KJT63 high card 1,020 1.64% 1 : 59.8 13.15%
130 62 KJT62 high card 1,020 1.64% 1 : 59.8 11.50%
131 54 KJT54 high card 1,020 1.64% 1 : 59.8 9.86%
132 53 KJT53 high card 1,020 1.64% 1 : 59.8 8.22%
133 52 KJT52 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 KJT43 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 KJT42 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 KJT32 high card 1,020 1.64% 1 : 59.8 1.64%