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non-flush example flush example



distribution of hand types
distinct combinations probability odds
royal flush 0 0 impossible impossible
straight flush 0 0 impossible impossible
four of a kind 0 0 impossible impossible
full house 0 0 impossible impossible
flush 45 180 0.29% 1 : 344
straight 0 0 impossible impossible
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 45 45,900 73.96% 2.84 : 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 AKQT5 flush 4 0.01% 1 : 15515 100.00%
2 AJs AKJT5 flush 4 0.01% 1 : 15515 99.99%
3 A9s AKT95 flush 4 0.01% 1 : 15515 99.99%
4 A8s AKT85 flush 4 0.01% 1 : 15515 99.98%
5 A7s AKT75 flush 4 0.01% 1 : 15515 99.97%
6 A6s AKT65 flush 4 0.01% 1 : 15515 99.97%
7 A4s AKT54 flush 4 0.01% 1 : 15515 99.96%
8 A3s AKT53 flush 4 0.01% 1 : 15515 99.95%
9 A2s AKT52 flush 4 0.01% 1 : 15515 99.95%
10 QJs KQJT5 flush 4 0.01% 1 : 15515 99.94%
11 Q9s KQT95 flush 4 0.01% 1 : 15515 99.94%
12 Q8s KQT85 flush 4 0.01% 1 : 15515 99.93%
13 Q7s KQT75 flush 4 0.01% 1 : 15515 99.92%
14 Q6s KQT65 flush 4 0.01% 1 : 15515 99.92%
15 Q4s KQT54 flush 4 0.01% 1 : 15515 99.91%
16 Q3s KQT53 flush 4 0.01% 1 : 15515 99.90%
17 Q2s KQT52 flush 4 0.01% 1 : 15515 99.90%
18 J9s KJT95 flush 4 0.01% 1 : 15515 99.89%
19 J8s KJT85 flush 4 0.01% 1 : 15515 99.88%
20 J7s KJT75 flush 4 0.01% 1 : 15515 99.88%
21 J6s KJT65 flush 4 0.01% 1 : 15515 99.87%
22 J4s KJT54 flush 4 0.01% 1 : 15515 99.86%
23 J3s KJT53 flush 4 0.01% 1 : 15515 99.86%
24 J2s KJT52 flush 4 0.01% 1 : 15515 99.85%
25 98s KT985 flush 4 0.01% 1 : 15515 99.85%
26 97s KT975 flush 4 0.01% 1 : 15515 99.84%
27 96s KT965 flush 4 0.01% 1 : 15515 99.83%
28 94s KT954 flush 4 0.01% 1 : 15515 99.83%
29 93s KT953 flush 4 0.01% 1 : 15515 99.82%
30 92s KT952 flush 4 0.01% 1 : 15515 99.81%
31 87s KT875 flush 4 0.01% 1 : 15515 99.81%
32 86s KT865 flush 4 0.01% 1 : 15515 99.80%
33 84s KT854 flush 4 0.01% 1 : 15515 99.79%
34 83s KT853 flush 4 0.01% 1 : 15515 99.79%
35 82s KT852 flush 4 0.01% 1 : 15515 99.78%
36 76s KT765 flush 4 0.01% 1 : 15515 99.77%
37 74s KT754 flush 4 0.01% 1 : 15515 99.77%
38 73s KT753 flush 4 0.01% 1 : 15515 99.76%
39 72s KT752 flush 4 0.01% 1 : 15515 99.76%
40 64s KT654 flush 4 0.01% 1 : 15515 99.75%
41 63s KT653 flush 4 0.01% 1 : 15515 99.74%
42 62s KT652 flush 4 0.01% 1 : 15515 99.74%
43 43s KT543 flush 4 0.01% 1 : 15515 99.73%
44 42s KT542 flush 4 0.01% 1 : 15515 99.72%
45 32s KT532 flush 4 0.01% 1 : 15515 99.72%
 
46 KK KKKT5 three of a kind 64 0.10% 1 : 969 99.71%
47 TT KTTT5 three of a kind 64 0.10% 1 : 969 99.61%
48 55 KT555 three of a kind 64 0.10% 1 : 969 99.50%
 
49 KT KKTT5 two pairs 144 0.23% 1 : 430 99.40%
50 K5 KKT55 two pairs 144 0.23% 1 : 430 99.17%
51 T5 KTT55 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAKT5 one pair 384 0.62% 1 : 161 98.70%
53 AK AKKT5 one pair 384 0.62% 1 : 161 98.09%
54 KQ KKQT5 one pair 384 0.62% 1 : 161 97.47%
55 KJ KKJT5 one pair 384 0.62% 1 : 161 96.85%
56 K9 KKT95 one pair 384 0.62% 1 : 161 96.23%
57 K8 KKT85 one pair 384 0.62% 1 : 161 95.61%
58 K7 KKT75 one pair 384 0.62% 1 : 161 94.99%
59 K6 KKT65 one pair 384 0.62% 1 : 161 94.37%
60 K4 KKT54 one pair 384 0.62% 1 : 161 93.75%
61 K3 KKT53 one pair 384 0.62% 1 : 161 93.14%
62 K2 KKT52 one pair 384 0.62% 1 : 161 92.52%
63 QQ KQQT5 one pair 384 0.62% 1 : 161 91.90%
64 JJ KJJT5 one pair 384 0.62% 1 : 161 91.28%
65 AT AKTT5 one pair 384 0.62% 1 : 161 90.66%
66 QT KQTT5 one pair 384 0.62% 1 : 161 90.04%
67 JT KJTT5 one pair 384 0.62% 1 : 161 89.42%
68 T9 KTT95 one pair 384 0.62% 1 : 161 88.81%
69 T8 KTT85 one pair 384 0.62% 1 : 161 88.19%
70 T7 KTT75 one pair 384 0.62% 1 : 161 87.57%
71 T6 KTT65 one pair 384 0.62% 1 : 161 86.95%
72 T4 KTT54 one pair 384 0.62% 1 : 161 86.33%
73 T3 KTT53 one pair 384 0.62% 1 : 161 85.71%
74 T2 KTT52 one pair 384 0.62% 1 : 161 85.09%
75 99 KT995 one pair 384 0.62% 1 : 161 84.47%
76 88 KT885 one pair 384 0.62% 1 : 161 83.86%
77 77 KT775 one pair 384 0.62% 1 : 161 83.24%
78 66 KT665 one pair 384 0.62% 1 : 161 82.62%
79 A5 AKT55 one pair 384 0.62% 1 : 161 82.00%
80 Q5 KQT55 one pair 384 0.62% 1 : 161 81.38%
81 J5 KJT55 one pair 384 0.62% 1 : 161 80.76%
82 95 KT955 one pair 384 0.62% 1 : 161 80.14%
83 85 KT855 one pair 384 0.62% 1 : 161 79.52%
84 75 KT755 one pair 384 0.62% 1 : 161 78.91%
85 65 KT655 one pair 384 0.62% 1 : 161 78.29%
86 54 KT554 one pair 384 0.62% 1 : 161 77.67%
87 53 KT553 one pair 384 0.62% 1 : 161 77.05%
88 52 KT552 one pair 384 0.62% 1 : 161 76.43%
89 44 KT544 one pair 384 0.62% 1 : 161 75.81%
90 33 KT533 one pair 384 0.62% 1 : 161 75.19%
91 22 KT522 one pair 384 0.62% 1 : 161 74.57%
 
92 AQ AKQT5 high card 1,020 1.64% 1 : 59.8 73.96%
93 AJ AKJT5 high card 1,020 1.64% 1 : 59.8 72.31%
94 A9 AKT95 high card 1,020 1.64% 1 : 59.8 70.67%
95 A8 AKT85 high card 1,020 1.64% 1 : 59.8 69.03%
96 A7 AKT75 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 AKT65 high card 1,020 1.64% 1 : 59.8 65.74%
98 A4 AKT54 high card 1,020 1.64% 1 : 59.8 64.10%
99 A3 AKT53 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AKT52 high card 1,020 1.64% 1 : 59.8 60.81%
101 QJ KQJT5 high card 1,020 1.64% 1 : 59.8 59.16%
102 Q9 KQT95 high card 1,020 1.64% 1 : 59.8 57.52%
103 Q8 KQT85 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q7 KQT75 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q6 KQT65 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q4 KQT54 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q3 KQT53 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q2 KQT52 high card 1,020 1.64% 1 : 59.8 47.66%
109 J9 KJT95 high card 1,020 1.64% 1 : 59.8 46.02%
110 J8 KJT85 high card 1,020 1.64% 1 : 59.8 44.37%
111 J7 KJT75 high card 1,020 1.64% 1 : 59.8 42.73%
112 J6 KJT65 high card 1,020 1.64% 1 : 59.8 41.09%
113 J4 KJT54 high card 1,020 1.64% 1 : 59.8 39.44%
114 J3 KJT53 high card 1,020 1.64% 1 : 59.8 37.80%
115 J2 KJT52 high card 1,020 1.64% 1 : 59.8 36.16%
116 98 KT985 high card 1,020 1.64% 1 : 59.8 34.51%
117 97 KT975 high card 1,020 1.64% 1 : 59.8 32.87%
118 96 KT965 high card 1,020 1.64% 1 : 59.8 31.23%
119 94 KT954 high card 1,020 1.64% 1 : 59.8 29.58%
120 93 KT953 high card 1,020 1.64% 1 : 59.8 27.94%
121 92 KT952 high card 1,020 1.64% 1 : 59.8 26.30%
122 87 KT875 high card 1,020 1.64% 1 : 59.8 24.65%
123 86 KT865 high card 1,020 1.64% 1 : 59.8 23.01%
124 84 KT854 high card 1,020 1.64% 1 : 59.8 21.37%
125 83 KT853 high card 1,020 1.64% 1 : 59.8 19.72%
126 82 KT852 high card 1,020 1.64% 1 : 59.8 18.08%
127 76 KT765 high card 1,020 1.64% 1 : 59.8 16.43%
128 74 KT754 high card 1,020 1.64% 1 : 59.8 14.79%
129 73 KT753 high card 1,020 1.64% 1 : 59.8 13.15%
130 72 KT752 high card 1,020 1.64% 1 : 59.8 11.50%
131 64 KT654 high card 1,020 1.64% 1 : 59.8 9.86%
132 63 KT653 high card 1,020 1.64% 1 : 59.8 8.22%
133 62 KT652 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 KT543 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 KT542 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 KT532 high card 1,020 1.64% 1 : 59.8 1.64%