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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 JTs AKQJT royal flush 4 0.01% 1 : 15515 100.00%
 
2 J9s AKQJ9 flush 4 0.01% 1 : 15515 99.99%
3 J8s AKQJ8 flush 4 0.01% 1 : 15515 99.99%
4 J7s AKQJ7 flush 4 0.01% 1 : 15515 99.98%
5 J6s AKQJ6 flush 4 0.01% 1 : 15515 99.97%
6 J5s AKQJ5 flush 4 0.01% 1 : 15515 99.97%
7 J4s AKQJ4 flush 4 0.01% 1 : 15515 99.96%
8 J3s AKQJ3 flush 4 0.01% 1 : 15515 99.95%
9 J2s AKQJ2 flush 4 0.01% 1 : 15515 99.95%
10 T9s AKQT9 flush 4 0.01% 1 : 15515 99.94%
11 T8s AKQT8 flush 4 0.01% 1 : 15515 99.94%
12 T7s AKQT7 flush 4 0.01% 1 : 15515 99.93%
13 T6s AKQT6 flush 4 0.01% 1 : 15515 99.92%
14 T5s AKQT5 flush 4 0.01% 1 : 15515 99.92%
15 T4s AKQT4 flush 4 0.01% 1 : 15515 99.91%
16 T3s AKQT3 flush 4 0.01% 1 : 15515 99.90%
17 T2s AKQT2 flush 4 0.01% 1 : 15515 99.90%
18 98s AKQ98 flush 4 0.01% 1 : 15515 99.89%
19 97s AKQ97 flush 4 0.01% 1 : 15515 99.88%
20 96s AKQ96 flush 4 0.01% 1 : 15515 99.88%
21 95s AKQ95 flush 4 0.01% 1 : 15515 99.87%
22 94s AKQ94 flush 4 0.01% 1 : 15515 99.86%
23 93s AKQ93 flush 4 0.01% 1 : 15515 99.86%
24 92s AKQ92 flush 4 0.01% 1 : 15515 99.85%
25 87s AKQ87 flush 4 0.01% 1 : 15515 99.85%
26 86s AKQ86 flush 4 0.01% 1 : 15515 99.84%
27 85s AKQ85 flush 4 0.01% 1 : 15515 99.83%
28 84s AKQ84 flush 4 0.01% 1 : 15515 99.83%
29 83s AKQ83 flush 4 0.01% 1 : 15515 99.82%
30 82s AKQ82 flush 4 0.01% 1 : 15515 99.81%
31 76s AKQ76 flush 4 0.01% 1 : 15515 99.81%
32 75s AKQ75 flush 4 0.01% 1 : 15515 99.80%
33 74s AKQ74 flush 4 0.01% 1 : 15515 99.79%
34 73s AKQ73 flush 4 0.01% 1 : 15515 99.79%
35 72s AKQ72 flush 4 0.01% 1 : 15515 99.78%
36 65s AKQ65 flush 4 0.01% 1 : 15515 99.77%
37 64s AKQ64 flush 4 0.01% 1 : 15515 99.77%
38 63s AKQ63 flush 4 0.01% 1 : 15515 99.76%
39 62s AKQ62 flush 4 0.01% 1 : 15515 99.76%
40 54s AKQ54 flush 4 0.01% 1 : 15515 99.75%
41 53s AKQ53 flush 4 0.01% 1 : 15515 99.74%
42 52s AKQ52 flush 4 0.01% 1 : 15515 99.74%
43 43s AKQ43 flush 4 0.01% 1 : 15515 99.73%
44 42s AKQ42 flush 4 0.01% 1 : 15515 99.72%
45 32s AKQ32 flush 4 0.01% 1 : 15515 99.72%
 
46 JT AKQJT straight 1,020 1.64% 1 : 59.8 99.71%
 
47 AA AAAKQ three of a kind 64 0.10% 1 : 969 98.07%
48 KK AKKKQ three of a kind 64 0.10% 1 : 969 97.96%
49 QQ AKQQQ three of a kind 64 0.10% 1 : 969 97.86%
 
50 AK AAKKQ two pairs 144 0.23% 1 : 430 97.76%
51 AQ AAKQQ two pairs 144 0.23% 1 : 430 97.53%
52 KQ AKKQQ two pairs 144 0.23% 1 : 430 97.29%
 
53 AJ AAKQJ one pair 384 0.62% 1 : 161 97.06%
54 AT AAKQT one pair 384 0.62% 1 : 161 96.44%
55 A9 AAKQ9 one pair 384 0.62% 1 : 161 95.82%
56 A8 AAKQ8 one pair 384 0.62% 1 : 161 95.20%
57 A7 AAKQ7 one pair 384 0.62% 1 : 161 94.59%
58 A6 AAKQ6 one pair 384 0.62% 1 : 161 93.97%
59 A5 AAKQ5 one pair 384 0.62% 1 : 161 93.35%
60 A4 AAKQ4 one pair 384 0.62% 1 : 161 92.73%
61 A3 AAKQ3 one pair 384 0.62% 1 : 161 92.11%
62 A2 AAKQ2 one pair 384 0.62% 1 : 161 91.49%
63 KJ AKKQJ one pair 384 0.62% 1 : 161 90.87%
64 KT AKKQT one pair 384 0.62% 1 : 161 90.26%
65 K9 AKKQ9 one pair 384 0.62% 1 : 161 89.64%
66 K8 AKKQ8 one pair 384 0.62% 1 : 161 89.02%
67 K7 AKKQ7 one pair 384 0.62% 1 : 161 88.40%
68 K6 AKKQ6 one pair 384 0.62% 1 : 161 87.78%
69 K5 AKKQ5 one pair 384 0.62% 1 : 161 87.16%
70 K4 AKKQ4 one pair 384 0.62% 1 : 161 86.54%
71 K3 AKKQ3 one pair 384 0.62% 1 : 161 85.92%
72 K2 AKKQ2 one pair 384 0.62% 1 : 161 85.31%
73 QJ AKQQJ one pair 384 0.62% 1 : 161 84.69%
74 QT AKQQT one pair 384 0.62% 1 : 161 84.07%
75 Q9 AKQQ9 one pair 384 0.62% 1 : 161 83.45%
76 Q8 AKQQ8 one pair 384 0.62% 1 : 161 82.83%
77 Q7 AKQQ7 one pair 384 0.62% 1 : 161 82.21%
78 Q6 AKQQ6 one pair 384 0.62% 1 : 161 81.59%
79 Q5 AKQQ5 one pair 384 0.62% 1 : 161 80.97%
80 Q4 AKQQ4 one pair 384 0.62% 1 : 161 80.36%
81 Q3 AKQQ3 one pair 384 0.62% 1 : 161 79.74%
82 Q2 AKQQ2 one pair 384 0.62% 1 : 161 79.12%
83 JJ AKQJJ one pair 384 0.62% 1 : 161 78.50%
84 TT AKQTT one pair 384 0.62% 1 : 161 77.88%
85 99 AKQ99 one pair 384 0.62% 1 : 161 77.26%
86 88 AKQ88 one pair 384 0.62% 1 : 161 76.64%
87 77 AKQ77 one pair 384 0.62% 1 : 161 76.02%
88 66 AKQ66 one pair 384 0.62% 1 : 161 75.41%
89 55 AKQ55 one pair 384 0.62% 1 : 161 74.79%
90 44 AKQ44 one pair 384 0.62% 1 : 161 74.17%
91 33 AKQ33 one pair 384 0.62% 1 : 161 73.55%
92 22 AKQ22 one pair 384 0.62% 1 : 161 72.93%
 
93 J9 AKQJ9 high card 1,020 1.64% 1 : 59.8 72.31%
94 J8 AKQJ8 high card 1,020 1.64% 1 : 59.8 70.67%
95 J7 AKQJ7 high card 1,020 1.64% 1 : 59.8 69.03%
96 J6 AKQJ6 high card 1,020 1.64% 1 : 59.8 67.38%
97 J5 AKQJ5 high card 1,020 1.64% 1 : 59.8 65.74%
98 J4 AKQJ4 high card 1,020 1.64% 1 : 59.8 64.10%
99 J3 AKQJ3 high card 1,020 1.64% 1 : 59.8 62.45%
100 J2 AKQJ2 high card 1,020 1.64% 1 : 59.8 60.81%
101 T9 AKQT9 high card 1,020 1.64% 1 : 59.8 59.16%
102 T8 AKQT8 high card 1,020 1.64% 1 : 59.8 57.52%
103 T7 AKQT7 high card 1,020 1.64% 1 : 59.8 55.88%
104 T6 AKQT6 high card 1,020 1.64% 1 : 59.8 54.23%
105 T5 AKQT5 high card 1,020 1.64% 1 : 59.8 52.59%
106 T4 AKQT4 high card 1,020 1.64% 1 : 59.8 50.95%
107 T3 AKQT3 high card 1,020 1.64% 1 : 59.8 49.30%
108 T2 AKQT2 high card 1,020 1.64% 1 : 59.8 47.66%
109 98 AKQ98 high card 1,020 1.64% 1 : 59.8 46.02%
110 97 AKQ97 high card 1,020 1.64% 1 : 59.8 44.37%
111 96 AKQ96 high card 1,020 1.64% 1 : 59.8 42.73%
112 95 AKQ95 high card 1,020 1.64% 1 : 59.8 41.09%
113 94 AKQ94 high card 1,020 1.64% 1 : 59.8 39.44%
114 93 AKQ93 high card 1,020 1.64% 1 : 59.8 37.80%
115 92 AKQ92 high card 1,020 1.64% 1 : 59.8 36.16%
116 87 AKQ87 high card 1,020 1.64% 1 : 59.8 34.51%
117 86 AKQ86 high card 1,020 1.64% 1 : 59.8 32.87%
118 85 AKQ85 high card 1,020 1.64% 1 : 59.8 31.23%
119 84 AKQ84 high card 1,020 1.64% 1 : 59.8 29.58%
120 83 AKQ83 high card 1,020 1.64% 1 : 59.8 27.94%
121 82 AKQ82 high card 1,020 1.64% 1 : 59.8 26.30%
122 76 AKQ76 high card 1,020 1.64% 1 : 59.8 24.65%
123 75 AKQ75 high card 1,020 1.64% 1 : 59.8 23.01%
124 74 AKQ74 high card 1,020 1.64% 1 : 59.8 21.37%
125 73 AKQ73 high card 1,020 1.64% 1 : 59.8 19.72%
126 72 AKQ72 high card 1,020 1.64% 1 : 59.8 18.08%
127 65 AKQ65 high card 1,020 1.64% 1 : 59.8 16.43%
128 64 AKQ64 high card 1,020 1.64% 1 : 59.8 14.79%
129 63 AKQ63 high card 1,020 1.64% 1 : 59.8 13.15%
130 62 AKQ62 high card 1,020 1.64% 1 : 59.8 11.50%
131 54 AKQ54 high card 1,020 1.64% 1 : 59.8 9.86%
132 53 AKQ53 high card 1,020 1.64% 1 : 59.8 8.22%
133 52 AKQ52 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 AKQ43 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 AKQ42 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 AKQ32 high card 1,020 1.64% 1 : 59.8 1.64%