non-flush example flush example



distribution of hand types
distinct combinations probability odds
royal flush 1 4 0.01% 1 : 15515
straight flush 0 0 impossible impossible
four of a kind 0 0 impossible impossible
full house 0 0 impossible impossible
flush 44 176 0.28% 1 : 352
straight 1 1,020 1.64% 1 : 59.8
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 44 44,880 72.31% 2.61 : 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 AKQJT royal flush 4 0.01% 1 : 15515 100.00%
 
2 K9s AKJT9 flush 4 0.01% 1 : 15515 99.99%
3 K8s AKJT8 flush 4 0.01% 1 : 15515 99.99%
4 K7s AKJT7 flush 4 0.01% 1 : 15515 99.98%
5 K6s AKJT6 flush 4 0.01% 1 : 15515 99.97%
6 K5s AKJT5 flush 4 0.01% 1 : 15515 99.97%
7 K4s AKJT4 flush 4 0.01% 1 : 15515 99.96%
8 K3s AKJT3 flush 4 0.01% 1 : 15515 99.95%
9 K2s AKJT2 flush 4 0.01% 1 : 15515 99.95%
10 Q9s AQJT9 flush 4 0.01% 1 : 15515 99.94%
11 Q8s AQJT8 flush 4 0.01% 1 : 15515 99.94%
12 Q7s AQJT7 flush 4 0.01% 1 : 15515 99.93%
13 Q6s AQJT6 flush 4 0.01% 1 : 15515 99.92%
14 Q5s AQJT5 flush 4 0.01% 1 : 15515 99.92%
15 Q4s AQJT4 flush 4 0.01% 1 : 15515 99.91%
16 Q3s AQJT3 flush 4 0.01% 1 : 15515 99.90%
17 Q2s AQJT2 flush 4 0.01% 1 : 15515 99.90%
18 98s AJT98 flush 4 0.01% 1 : 15515 99.89%
19 97s AJT97 flush 4 0.01% 1 : 15515 99.88%
20 96s AJT96 flush 4 0.01% 1 : 15515 99.88%
21 95s AJT95 flush 4 0.01% 1 : 15515 99.87%
22 94s AJT94 flush 4 0.01% 1 : 15515 99.86%
23 93s AJT93 flush 4 0.01% 1 : 15515 99.86%
24 92s AJT92 flush 4 0.01% 1 : 15515 99.85%
25 87s AJT87 flush 4 0.01% 1 : 15515 99.85%
26 86s AJT86 flush 4 0.01% 1 : 15515 99.84%
27 85s AJT85 flush 4 0.01% 1 : 15515 99.83%
28 84s AJT84 flush 4 0.01% 1 : 15515 99.83%
29 83s AJT83 flush 4 0.01% 1 : 15515 99.82%
30 82s AJT82 flush 4 0.01% 1 : 15515 99.81%
31 76s AJT76 flush 4 0.01% 1 : 15515 99.81%
32 75s AJT75 flush 4 0.01% 1 : 15515 99.80%
33 74s AJT74 flush 4 0.01% 1 : 15515 99.79%
34 73s AJT73 flush 4 0.01% 1 : 15515 99.79%
35 72s AJT72 flush 4 0.01% 1 : 15515 99.78%
36 65s AJT65 flush 4 0.01% 1 : 15515 99.77%
37 64s AJT64 flush 4 0.01% 1 : 15515 99.77%
38 63s AJT63 flush 4 0.01% 1 : 15515 99.76%
39 62s AJT62 flush 4 0.01% 1 : 15515 99.76%
40 54s AJT54 flush 4 0.01% 1 : 15515 99.75%
41 53s AJT53 flush 4 0.01% 1 : 15515 99.74%
42 52s AJT52 flush 4 0.01% 1 : 15515 99.74%
43 43s AJT43 flush 4 0.01% 1 : 15515 99.73%
44 42s AJT42 flush 4 0.01% 1 : 15515 99.72%
45 32s AJT32 flush 4 0.01% 1 : 15515 99.72%
 
46 KQ AKQJT straight 1,020 1.64% 1 : 59.8 99.71%
 
47 AA AAAJT three of a kind 64 0.10% 1 : 969 98.07%
48 JJ AJJJT three of a kind 64 0.10% 1 : 969 97.96%
49 TT AJTTT three of a kind 64 0.10% 1 : 969 97.86%
 
50 AJ AAJJT two pairs 144 0.23% 1 : 430 97.76%
51 AT AAJTT two pairs 144 0.23% 1 : 430 97.53%
52 JT AJJTT two pairs 144 0.23% 1 : 430 97.29%
 
53 AK AAKJT one pair 384 0.62% 1 : 161 97.06%
54 AQ AAQJT one pair 384 0.62% 1 : 161 96.44%
55 A9 AAJT9 one pair 384 0.62% 1 : 161 95.82%
56 A8 AAJT8 one pair 384 0.62% 1 : 161 95.20%
57 A7 AAJT7 one pair 384 0.62% 1 : 161 94.59%
58 A6 AAJT6 one pair 384 0.62% 1 : 161 93.97%
59 A5 AAJT5 one pair 384 0.62% 1 : 161 93.35%
60 A4 AAJT4 one pair 384 0.62% 1 : 161 92.73%
61 A3 AAJT3 one pair 384 0.62% 1 : 161 92.11%
62 A2 AAJT2 one pair 384 0.62% 1 : 161 91.49%
63 KK AKKJT one pair 384 0.62% 1 : 161 90.87%
64 QQ AQQJT one pair 384 0.62% 1 : 161 90.26%
65 KJ AKJJT one pair 384 0.62% 1 : 161 89.64%
66 QJ AQJJT one pair 384 0.62% 1 : 161 89.02%
67 J9 AJJT9 one pair 384 0.62% 1 : 161 88.40%
68 J8 AJJT8 one pair 384 0.62% 1 : 161 87.78%
69 J7 AJJT7 one pair 384 0.62% 1 : 161 87.16%
70 J6 AJJT6 one pair 384 0.62% 1 : 161 86.54%
71 J5 AJJT5 one pair 384 0.62% 1 : 161 85.92%
72 J4 AJJT4 one pair 384 0.62% 1 : 161 85.31%
73 J3 AJJT3 one pair 384 0.62% 1 : 161 84.69%
74 J2 AJJT2 one pair 384 0.62% 1 : 161 84.07%
75 KT AKJTT one pair 384 0.62% 1 : 161 83.45%
76 QT AQJTT one pair 384 0.62% 1 : 161 82.83%
77 T9 AJTT9 one pair 384 0.62% 1 : 161 82.21%
78 T8 AJTT8 one pair 384 0.62% 1 : 161 81.59%
79 T7 AJTT7 one pair 384 0.62% 1 : 161 80.97%
80 T6 AJTT6 one pair 384 0.62% 1 : 161 80.36%
81 T5 AJTT5 one pair 384 0.62% 1 : 161 79.74%
82 T4 AJTT4 one pair 384 0.62% 1 : 161 79.12%
83 T3 AJTT3 one pair 384 0.62% 1 : 161 78.50%
84 T2 AJTT2 one pair 384 0.62% 1 : 161 77.88%
85 99 AJT99 one pair 384 0.62% 1 : 161 77.26%
86 88 AJT88 one pair 384 0.62% 1 : 161 76.64%
87 77 AJT77 one pair 384 0.62% 1 : 161 76.02%
88 66 AJT66 one pair 384 0.62% 1 : 161 75.41%
89 55 AJT55 one pair 384 0.62% 1 : 161 74.79%
90 44 AJT44 one pair 384 0.62% 1 : 161 74.17%
91 33 AJT33 one pair 384 0.62% 1 : 161 73.55%
92 22 AJT22 one pair 384 0.62% 1 : 161 72.93%
 
93 K9 AKJT9 high card 1,020 1.64% 1 : 59.8 72.31%
94 K8 AKJT8 high card 1,020 1.64% 1 : 59.8 70.67%
95 K7 AKJT7 high card 1,020 1.64% 1 : 59.8 69.03%
96 K6 AKJT6 high card 1,020 1.64% 1 : 59.8 67.38%
97 K5 AKJT5 high card 1,020 1.64% 1 : 59.8 65.74%
98 K4 AKJT4 high card 1,020 1.64% 1 : 59.8 64.10%
99 K3 AKJT3 high card 1,020 1.64% 1 : 59.8 62.45%
100 K2 AKJT2 high card 1,020 1.64% 1 : 59.8 60.81%
101 Q9 AQJT9 high card 1,020 1.64% 1 : 59.8 59.16%
102 Q8 AQJT8 high card 1,020 1.64% 1 : 59.8 57.52%
103 Q7 AQJT7 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q6 AQJT6 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q5 AQJT5 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q4 AQJT4 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q3 AQJT3 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q2 AQJT2 high card 1,020 1.64% 1 : 59.8 47.66%
109 98 AJT98 high card 1,020 1.64% 1 : 59.8 46.02%
110 97 AJT97 high card 1,020 1.64% 1 : 59.8 44.37%
111 96 AJT96 high card 1,020 1.64% 1 : 59.8 42.73%
112 95 AJT95 high card 1,020 1.64% 1 : 59.8 41.09%
113 94 AJT94 high card 1,020 1.64% 1 : 59.8 39.44%
114 93 AJT93 high card 1,020 1.64% 1 : 59.8 37.80%
115 92 AJT92 high card 1,020 1.64% 1 : 59.8 36.16%
116 87 AJT87 high card 1,020 1.64% 1 : 59.8 34.51%
117 86 AJT86 high card 1,020 1.64% 1 : 59.8 32.87%
118 85 AJT85 high card 1,020 1.64% 1 : 59.8 31.23%
119 84 AJT84 high card 1,020 1.64% 1 : 59.8 29.58%
120 83 AJT83 high card 1,020 1.64% 1 : 59.8 27.94%
121 82 AJT82 high card 1,020 1.64% 1 : 59.8 26.30%
122 76 AJT76 high card 1,020 1.64% 1 : 59.8 24.65%
123 75 AJT75 high card 1,020 1.64% 1 : 59.8 23.01%
124 74 AJT74 high card 1,020 1.64% 1 : 59.8 21.37%
125 73 AJT73 high card 1,020 1.64% 1 : 59.8 19.72%
126 72 AJT72 high card 1,020 1.64% 1 : 59.8 18.08%
127 65 AJT65 high card 1,020 1.64% 1 : 59.8 16.43%
128 64 AJT64 high card 1,020 1.64% 1 : 59.8 14.79%
129 63 AJT63 high card 1,020 1.64% 1 : 59.8 13.15%
130 62 AJT62 high card 1,020 1.64% 1 : 59.8 11.50%
131 54 AJT54 high card 1,020 1.64% 1 : 59.8 9.86%
132 53 AJT53 high card 1,020 1.64% 1 : 59.8 8.22%
133 52 AJT52 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 AJT43 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 AJT42 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 AJT32 high card 1,020 1.64% 1 : 59.8 1.64%