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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 KJs AKQJT royal flush 4 0.01% 1 : 15515 100.00%
 
2 K9s AKQT9 flush 4 0.01% 1 : 15515 99.99%
3 K8s AKQT8 flush 4 0.01% 1 : 15515 99.99%
4 K7s AKQT7 flush 4 0.01% 1 : 15515 99.98%
5 K6s AKQT6 flush 4 0.01% 1 : 15515 99.97%
6 K5s AKQT5 flush 4 0.01% 1 : 15515 99.97%
7 K4s AKQT4 flush 4 0.01% 1 : 15515 99.96%
8 K3s AKQT3 flush 4 0.01% 1 : 15515 99.95%
9 K2s AKQT2 flush 4 0.01% 1 : 15515 99.95%
10 J9s AQJT9 flush 4 0.01% 1 : 15515 99.94%
11 J8s AQJT8 flush 4 0.01% 1 : 15515 99.94%
12 J7s AQJT7 flush 4 0.01% 1 : 15515 99.93%
13 J6s AQJT6 flush 4 0.01% 1 : 15515 99.92%
14 J5s AQJT5 flush 4 0.01% 1 : 15515 99.92%
15 J4s AQJT4 flush 4 0.01% 1 : 15515 99.91%
16 J3s AQJT3 flush 4 0.01% 1 : 15515 99.90%
17 J2s AQJT2 flush 4 0.01% 1 : 15515 99.90%
18 98s AQT98 flush 4 0.01% 1 : 15515 99.89%
19 97s AQT97 flush 4 0.01% 1 : 15515 99.88%
20 96s AQT96 flush 4 0.01% 1 : 15515 99.88%
21 95s AQT95 flush 4 0.01% 1 : 15515 99.87%
22 94s AQT94 flush 4 0.01% 1 : 15515 99.86%
23 93s AQT93 flush 4 0.01% 1 : 15515 99.86%
24 92s AQT92 flush 4 0.01% 1 : 15515 99.85%
25 87s AQT87 flush 4 0.01% 1 : 15515 99.85%
26 86s AQT86 flush 4 0.01% 1 : 15515 99.84%
27 85s AQT85 flush 4 0.01% 1 : 15515 99.83%
28 84s AQT84 flush 4 0.01% 1 : 15515 99.83%
29 83s AQT83 flush 4 0.01% 1 : 15515 99.82%
30 82s AQT82 flush 4 0.01% 1 : 15515 99.81%
31 76s AQT76 flush 4 0.01% 1 : 15515 99.81%
32 75s AQT75 flush 4 0.01% 1 : 15515 99.80%
33 74s AQT74 flush 4 0.01% 1 : 15515 99.79%
34 73s AQT73 flush 4 0.01% 1 : 15515 99.79%
35 72s AQT72 flush 4 0.01% 1 : 15515 99.78%
36 65s AQT65 flush 4 0.01% 1 : 15515 99.77%
37 64s AQT64 flush 4 0.01% 1 : 15515 99.77%
38 63s AQT63 flush 4 0.01% 1 : 15515 99.76%
39 62s AQT62 flush 4 0.01% 1 : 15515 99.76%
40 54s AQT54 flush 4 0.01% 1 : 15515 99.75%
41 53s AQT53 flush 4 0.01% 1 : 15515 99.74%
42 52s AQT52 flush 4 0.01% 1 : 15515 99.74%
43 43s AQT43 flush 4 0.01% 1 : 15515 99.73%
44 42s AQT42 flush 4 0.01% 1 : 15515 99.72%
45 32s AQT32 flush 4 0.01% 1 : 15515 99.72%
 
46 KJ AKQJT straight 1,020 1.64% 1 : 59.8 99.71%
 
47 AA AAAQT three of a kind 64 0.10% 1 : 969 98.07%
48 QQ AQQQT three of a kind 64 0.10% 1 : 969 97.96%
49 TT AQTTT three of a kind 64 0.10% 1 : 969 97.86%
 
50 AQ AAQQT two pairs 144 0.23% 1 : 430 97.76%
51 AT AAQTT two pairs 144 0.23% 1 : 430 97.53%
52 QT AQQTT two pairs 144 0.23% 1 : 430 97.29%
 
53 AK AAKQT one pair 384 0.62% 1 : 161 97.06%
54 AJ AAQJT one pair 384 0.62% 1 : 161 96.44%
55 A9 AAQT9 one pair 384 0.62% 1 : 161 95.82%
56 A8 AAQT8 one pair 384 0.62% 1 : 161 95.20%
57 A7 AAQT7 one pair 384 0.62% 1 : 161 94.59%
58 A6 AAQT6 one pair 384 0.62% 1 : 161 93.97%
59 A5 AAQT5 one pair 384 0.62% 1 : 161 93.35%
60 A4 AAQT4 one pair 384 0.62% 1 : 161 92.73%
61 A3 AAQT3 one pair 384 0.62% 1 : 161 92.11%
62 A2 AAQT2 one pair 384 0.62% 1 : 161 91.49%
63 KK AKKQT one pair 384 0.62% 1 : 161 90.87%
64 KQ AKQQT one pair 384 0.62% 1 : 161 90.26%
65 QJ AQQJT one pair 384 0.62% 1 : 161 89.64%
66 Q9 AQQT9 one pair 384 0.62% 1 : 161 89.02%
67 Q8 AQQT8 one pair 384 0.62% 1 : 161 88.40%
68 Q7 AQQT7 one pair 384 0.62% 1 : 161 87.78%
69 Q6 AQQT6 one pair 384 0.62% 1 : 161 87.16%
70 Q5 AQQT5 one pair 384 0.62% 1 : 161 86.54%
71 Q4 AQQT4 one pair 384 0.62% 1 : 161 85.92%
72 Q3 AQQT3 one pair 384 0.62% 1 : 161 85.31%
73 Q2 AQQT2 one pair 384 0.62% 1 : 161 84.69%
74 JJ AQJJT one pair 384 0.62% 1 : 161 84.07%
75 KT AKQTT one pair 384 0.62% 1 : 161 83.45%
76 JT AQJTT one pair 384 0.62% 1 : 161 82.83%
77 T9 AQTT9 one pair 384 0.62% 1 : 161 82.21%
78 T8 AQTT8 one pair 384 0.62% 1 : 161 81.59%
79 T7 AQTT7 one pair 384 0.62% 1 : 161 80.97%
80 T6 AQTT6 one pair 384 0.62% 1 : 161 80.36%
81 T5 AQTT5 one pair 384 0.62% 1 : 161 79.74%
82 T4 AQTT4 one pair 384 0.62% 1 : 161 79.12%
83 T3 AQTT3 one pair 384 0.62% 1 : 161 78.50%
84 T2 AQTT2 one pair 384 0.62% 1 : 161 77.88%
85 99 AQT99 one pair 384 0.62% 1 : 161 77.26%
86 88 AQT88 one pair 384 0.62% 1 : 161 76.64%
87 77 AQT77 one pair 384 0.62% 1 : 161 76.02%
88 66 AQT66 one pair 384 0.62% 1 : 161 75.41%
89 55 AQT55 one pair 384 0.62% 1 : 161 74.79%
90 44 AQT44 one pair 384 0.62% 1 : 161 74.17%
91 33 AQT33 one pair 384 0.62% 1 : 161 73.55%
92 22 AQT22 one pair 384 0.62% 1 : 161 72.93%
 
93 K9 AKQT9 high card 1,020 1.64% 1 : 59.8 72.31%
94 K8 AKQT8 high card 1,020 1.64% 1 : 59.8 70.67%
95 K7 AKQT7 high card 1,020 1.64% 1 : 59.8 69.03%
96 K6 AKQT6 high card 1,020 1.64% 1 : 59.8 67.38%
97 K5 AKQT5 high card 1,020 1.64% 1 : 59.8 65.74%
98 K4 AKQT4 high card 1,020 1.64% 1 : 59.8 64.10%
99 K3 AKQT3 high card 1,020 1.64% 1 : 59.8 62.45%
100 K2 AKQT2 high card 1,020 1.64% 1 : 59.8 60.81%
101 J9 AQJT9 high card 1,020 1.64% 1 : 59.8 59.16%
102 J8 AQJT8 high card 1,020 1.64% 1 : 59.8 57.52%
103 J7 AQJT7 high card 1,020 1.64% 1 : 59.8 55.88%
104 J6 AQJT6 high card 1,020 1.64% 1 : 59.8 54.23%
105 J5 AQJT5 high card 1,020 1.64% 1 : 59.8 52.59%
106 J4 AQJT4 high card 1,020 1.64% 1 : 59.8 50.95%
107 J3 AQJT3 high card 1,020 1.64% 1 : 59.8 49.30%
108 J2 AQJT2 high card 1,020 1.64% 1 : 59.8 47.66%
109 98 AQT98 high card 1,020 1.64% 1 : 59.8 46.02%
110 97 AQT97 high card 1,020 1.64% 1 : 59.8 44.37%
111 96 AQT96 high card 1,020 1.64% 1 : 59.8 42.73%
112 95 AQT95 high card 1,020 1.64% 1 : 59.8 41.09%
113 94 AQT94 high card 1,020 1.64% 1 : 59.8 39.44%
114 93 AQT93 high card 1,020 1.64% 1 : 59.8 37.80%
115 92 AQT92 high card 1,020 1.64% 1 : 59.8 36.16%
116 87 AQT87 high card 1,020 1.64% 1 : 59.8 34.51%
117 86 AQT86 high card 1,020 1.64% 1 : 59.8 32.87%
118 85 AQT85 high card 1,020 1.64% 1 : 59.8 31.23%
119 84 AQT84 high card 1,020 1.64% 1 : 59.8 29.58%
120 83 AQT83 high card 1,020 1.64% 1 : 59.8 27.94%
121 82 AQT82 high card 1,020 1.64% 1 : 59.8 26.30%
122 76 AQT76 high card 1,020 1.64% 1 : 59.8 24.65%
123 75 AQT75 high card 1,020 1.64% 1 : 59.8 23.01%
124 74 AQT74 high card 1,020 1.64% 1 : 59.8 21.37%
125 73 AQT73 high card 1,020 1.64% 1 : 59.8 19.72%
126 72 AQT72 high card 1,020 1.64% 1 : 59.8 18.08%
127 65 AQT65 high card 1,020 1.64% 1 : 59.8 16.43%
128 64 AQT64 high card 1,020 1.64% 1 : 59.8 14.79%
129 63 AQT63 high card 1,020 1.64% 1 : 59.8 13.15%
130 62 AQT62 high card 1,020 1.64% 1 : 59.8 11.50%
131 54 AQT54 high card 1,020 1.64% 1 : 59.8 9.86%
132 53 AQT53 high card 1,020 1.64% 1 : 59.8 8.22%
133 52 AQT52 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 AQT43 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 AQT42 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 AQT32 high card 1,020 1.64% 1 : 59.8 1.64%