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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 2 8 0.01% 1 : 7757
four of a kind 0 0 impossible impossible
full house 0 0 impossible impossible
flush 42 168 0.27% 1 : 368
straight 3 3,060 4.93% 1 : 19.3
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 42 42,840 69.03% 2.23 : 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 AKs AKQJT royal flush 4 0.01% 1 : 15515 100.00%
 
2 K9s KQJT9 straight flush 4 0.01% 1 : 15515 99.99%
3 98s QJT98 straight flush 4 0.01% 1 : 15515 99.99%
 
4 A9s AQJT9 flush 4 0.01% 1 : 15515 99.98%
5 A8s AQJT8 flush 4 0.01% 1 : 15515 99.97%
6 A7s AQJT7 flush 4 0.01% 1 : 15515 99.97%
7 A6s AQJT6 flush 4 0.01% 1 : 15515 99.96%
8 A5s AQJT5 flush 4 0.01% 1 : 15515 99.95%
9 A4s AQJT4 flush 4 0.01% 1 : 15515 99.95%
10 A3s AQJT3 flush 4 0.01% 1 : 15515 99.94%
11 A2s AQJT2 flush 4 0.01% 1 : 15515 99.94%
12 K8s KQJT8 flush 4 0.01% 1 : 15515 99.93%
13 K7s KQJT7 flush 4 0.01% 1 : 15515 99.92%
14 K6s KQJT6 flush 4 0.01% 1 : 15515 99.92%
15 K5s KQJT5 flush 4 0.01% 1 : 15515 99.91%
16 K4s KQJT4 flush 4 0.01% 1 : 15515 99.90%
17 K3s KQJT3 flush 4 0.01% 1 : 15515 99.90%
18 K2s KQJT2 flush 4 0.01% 1 : 15515 99.89%
19 97s QJT97 flush 4 0.01% 1 : 15515 99.88%
20 96s QJT96 flush 4 0.01% 1 : 15515 99.88%
21 95s QJT95 flush 4 0.01% 1 : 15515 99.87%
22 94s QJT94 flush 4 0.01% 1 : 15515 99.86%
23 93s QJT93 flush 4 0.01% 1 : 15515 99.86%
24 92s QJT92 flush 4 0.01% 1 : 15515 99.85%
25 87s QJT87 flush 4 0.01% 1 : 15515 99.85%
26 86s QJT86 flush 4 0.01% 1 : 15515 99.84%
27 85s QJT85 flush 4 0.01% 1 : 15515 99.83%
28 84s QJT84 flush 4 0.01% 1 : 15515 99.83%
29 83s QJT83 flush 4 0.01% 1 : 15515 99.82%
30 82s QJT82 flush 4 0.01% 1 : 15515 99.81%
31 76s QJT76 flush 4 0.01% 1 : 15515 99.81%
32 75s QJT75 flush 4 0.01% 1 : 15515 99.80%
33 74s QJT74 flush 4 0.01% 1 : 15515 99.79%
34 73s QJT73 flush 4 0.01% 1 : 15515 99.79%
35 72s QJT72 flush 4 0.01% 1 : 15515 99.78%
36 65s QJT65 flush 4 0.01% 1 : 15515 99.77%
37 64s QJT64 flush 4 0.01% 1 : 15515 99.77%
38 63s QJT63 flush 4 0.01% 1 : 15515 99.76%
39 62s QJT62 flush 4 0.01% 1 : 15515 99.76%
40 54s QJT54 flush 4 0.01% 1 : 15515 99.75%
41 53s QJT53 flush 4 0.01% 1 : 15515 99.74%
42 52s QJT52 flush 4 0.01% 1 : 15515 99.74%
43 43s QJT43 flush 4 0.01% 1 : 15515 99.73%
44 42s QJT42 flush 4 0.01% 1 : 15515 99.72%
45 32s QJT32 flush 4 0.01% 1 : 15515 99.72%
 
46 AK AKQJT straight 1,020 1.64% 1 : 59.8 99.71%
47 K9 KQJT9 straight 1,020 1.64% 1 : 59.8 98.07%
48 98 QJT98 straight 1,020 1.64% 1 : 59.8 96.42%
 
49 QQ QQQJT three of a kind 64 0.10% 1 : 969 94.78%
50 JJ QJJJT three of a kind 64 0.10% 1 : 969 94.68%
51 TT QJTTT three of a kind 64 0.10% 1 : 969 94.57%
 
52 QJ QQJJT two pairs 144 0.23% 1 : 430 94.47%
53 QT QQJTT two pairs 144 0.23% 1 : 430 94.24%
54 JT QJJTT two pairs 144 0.23% 1 : 430 94.01%
 
55 AA AAQJT one pair 384 0.62% 1 : 161 93.77%
56 KK KKQJT one pair 384 0.62% 1 : 161 93.16%
57 AQ AQQJT one pair 384 0.62% 1 : 161 92.54%
58 KQ KQQJT one pair 384 0.62% 1 : 161 91.92%
59 Q9 QQJT9 one pair 384 0.62% 1 : 161 91.30%
60 Q8 QQJT8 one pair 384 0.62% 1 : 161 90.68%
61 Q7 QQJT7 one pair 384 0.62% 1 : 161 90.06%
62 Q6 QQJT6 one pair 384 0.62% 1 : 161 89.44%
63 Q5 QQJT5 one pair 384 0.62% 1 : 161 88.82%
64 Q4 QQJT4 one pair 384 0.62% 1 : 161 88.21%
65 Q3 QQJT3 one pair 384 0.62% 1 : 161 87.59%
66 Q2 QQJT2 one pair 384 0.62% 1 : 161 86.97%
67 AJ AQJJT one pair 384 0.62% 1 : 161 86.35%
68 KJ KQJJT one pair 384 0.62% 1 : 161 85.73%
69 J9 QJJT9 one pair 384 0.62% 1 : 161 85.11%
70 J8 QJJT8 one pair 384 0.62% 1 : 161 84.49%
71 J7 QJJT7 one pair 384 0.62% 1 : 161 83.87%
72 J6 QJJT6 one pair 384 0.62% 1 : 161 83.26%
73 J5 QJJT5 one pair 384 0.62% 1 : 161 82.64%
74 J4 QJJT4 one pair 384 0.62% 1 : 161 82.02%
75 J3 QJJT3 one pair 384 0.62% 1 : 161 81.40%
76 J2 QJJT2 one pair 384 0.62% 1 : 161 80.78%
77 AT AQJTT one pair 384 0.62% 1 : 161 80.16%
78 KT KQJTT one pair 384 0.62% 1 : 161 79.54%
79 T9 QJTT9 one pair 384 0.62% 1 : 161 78.92%
80 T8 QJTT8 one pair 384 0.62% 1 : 161 78.31%
81 T7 QJTT7 one pair 384 0.62% 1 : 161 77.69%
82 T6 QJTT6 one pair 384 0.62% 1 : 161 77.07%
83 T5 QJTT5 one pair 384 0.62% 1 : 161 76.45%
84 T4 QJTT4 one pair 384 0.62% 1 : 161 75.83%
85 T3 QJTT3 one pair 384 0.62% 1 : 161 75.21%
86 T2 QJTT2 one pair 384 0.62% 1 : 161 74.59%
87 99 QJT99 one pair 384 0.62% 1 : 161 73.98%
88 88 QJT88 one pair 384 0.62% 1 : 161 73.36%
89 77 QJT77 one pair 384 0.62% 1 : 161 72.74%
90 66 QJT66 one pair 384 0.62% 1 : 161 72.12%
91 55 QJT55 one pair 384 0.62% 1 : 161 71.50%
92 44 QJT44 one pair 384 0.62% 1 : 161 70.88%
93 33 QJT33 one pair 384 0.62% 1 : 161 70.26%
94 22 QJT22 one pair 384 0.62% 1 : 161 69.64%
 
95 A9 AQJT9 high card 1,020 1.64% 1 : 59.8 69.03%
96 A8 AQJT8 high card 1,020 1.64% 1 : 59.8 67.38%
97 A7 AQJT7 high card 1,020 1.64% 1 : 59.8 65.74%
98 A6 AQJT6 high card 1,020 1.64% 1 : 59.8 64.10%
99 A5 AQJT5 high card 1,020 1.64% 1 : 59.8 62.45%
100 A4 AQJT4 high card 1,020 1.64% 1 : 59.8 60.81%
101 A3 AQJT3 high card 1,020 1.64% 1 : 59.8 59.16%
102 A2 AQJT2 high card 1,020 1.64% 1 : 59.8 57.52%
103 K8 KQJT8 high card 1,020 1.64% 1 : 59.8 55.88%
104 K7 KQJT7 high card 1,020 1.64% 1 : 59.8 54.23%
105 K6 KQJT6 high card 1,020 1.64% 1 : 59.8 52.59%
106 K5 KQJT5 high card 1,020 1.64% 1 : 59.8 50.95%
107 K4 KQJT4 high card 1,020 1.64% 1 : 59.8 49.30%
108 K3 KQJT3 high card 1,020 1.64% 1 : 59.8 47.66%
109 K2 KQJT2 high card 1,020 1.64% 1 : 59.8 46.02%
110 97 QJT97 high card 1,020 1.64% 1 : 59.8 44.37%
111 96 QJT96 high card 1,020 1.64% 1 : 59.8 42.73%
112 95 QJT95 high card 1,020 1.64% 1 : 59.8 41.09%
113 94 QJT94 high card 1,020 1.64% 1 : 59.8 39.44%
114 93 QJT93 high card 1,020 1.64% 1 : 59.8 37.80%
115 92 QJT92 high card 1,020 1.64% 1 : 59.8 36.16%
116 87 QJT87 high card 1,020 1.64% 1 : 59.8 34.51%
117 86 QJT86 high card 1,020 1.64% 1 : 59.8 32.87%
118 85 QJT85 high card 1,020 1.64% 1 : 59.8 31.23%
119 84 QJT84 high card 1,020 1.64% 1 : 59.8 29.58%
120 83 QJT83 high card 1,020 1.64% 1 : 59.8 27.94%
121 82 QJT82 high card 1,020 1.64% 1 : 59.8 26.30%
122 76 QJT76 high card 1,020 1.64% 1 : 59.8 24.65%
123 75 QJT75 high card 1,020 1.64% 1 : 59.8 23.01%
124 74 QJT74 high card 1,020 1.64% 1 : 59.8 21.37%
125 73 QJT73 high card 1,020 1.64% 1 : 59.8 19.72%
126 72 QJT72 high card 1,020 1.64% 1 : 59.8 18.08%
127 65 QJT65 high card 1,020 1.64% 1 : 59.8 16.43%
128 64 QJT64 high card 1,020 1.64% 1 : 59.8 14.79%
129 63 QJT63 high card 1,020 1.64% 1 : 59.8 13.15%
130 62 QJT62 high card 1,020 1.64% 1 : 59.8 11.50%
131 54 QJT54 high card 1,020 1.64% 1 : 59.8 9.86%
132 53 QJT53 high card 1,020 1.64% 1 : 59.8 8.22%
133 52 QJT52 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 QJT43 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 QJT42 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 QJT32 high card 1,020 1.64% 1 : 59.8 1.64%