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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 AKs AKQT5 flush 4 0.01% 1 : 15515 100.00%
2 AJs AQJT5 flush 4 0.01% 1 : 15515 99.99%
3 A9s AQT95 flush 4 0.01% 1 : 15515 99.99%
4 A8s AQT85 flush 4 0.01% 1 : 15515 99.98%
5 A7s AQT75 flush 4 0.01% 1 : 15515 99.97%
6 A6s AQT65 flush 4 0.01% 1 : 15515 99.97%
7 A4s AQT54 flush 4 0.01% 1 : 15515 99.96%
8 A3s AQT53 flush 4 0.01% 1 : 15515 99.95%
9 A2s AQT52 flush 4 0.01% 1 : 15515 99.95%
10 KJs KQJT5 flush 4 0.01% 1 : 15515 99.94%
11 K9s KQT95 flush 4 0.01% 1 : 15515 99.94%
12 K8s KQT85 flush 4 0.01% 1 : 15515 99.93%
13 K7s KQT75 flush 4 0.01% 1 : 15515 99.92%
14 K6s KQT65 flush 4 0.01% 1 : 15515 99.92%
15 K4s KQT54 flush 4 0.01% 1 : 15515 99.91%
16 K3s KQT53 flush 4 0.01% 1 : 15515 99.90%
17 K2s KQT52 flush 4 0.01% 1 : 15515 99.90%
18 J9s QJT95 flush 4 0.01% 1 : 15515 99.89%
19 J8s QJT85 flush 4 0.01% 1 : 15515 99.88%
20 J7s QJT75 flush 4 0.01% 1 : 15515 99.88%
21 J6s QJT65 flush 4 0.01% 1 : 15515 99.87%
22 J4s QJT54 flush 4 0.01% 1 : 15515 99.86%
23 J3s QJT53 flush 4 0.01% 1 : 15515 99.86%
24 J2s QJT52 flush 4 0.01% 1 : 15515 99.85%
25 98s QT985 flush 4 0.01% 1 : 15515 99.85%
26 97s QT975 flush 4 0.01% 1 : 15515 99.84%
27 96s QT965 flush 4 0.01% 1 : 15515 99.83%
28 94s QT954 flush 4 0.01% 1 : 15515 99.83%
29 93s QT953 flush 4 0.01% 1 : 15515 99.82%
30 92s QT952 flush 4 0.01% 1 : 15515 99.81%
31 87s QT875 flush 4 0.01% 1 : 15515 99.81%
32 86s QT865 flush 4 0.01% 1 : 15515 99.80%
33 84s QT854 flush 4 0.01% 1 : 15515 99.79%
34 83s QT853 flush 4 0.01% 1 : 15515 99.79%
35 82s QT852 flush 4 0.01% 1 : 15515 99.78%
36 76s QT765 flush 4 0.01% 1 : 15515 99.77%
37 74s QT754 flush 4 0.01% 1 : 15515 99.77%
38 73s QT753 flush 4 0.01% 1 : 15515 99.76%
39 72s QT752 flush 4 0.01% 1 : 15515 99.76%
40 64s QT654 flush 4 0.01% 1 : 15515 99.75%
41 63s QT653 flush 4 0.01% 1 : 15515 99.74%
42 62s QT652 flush 4 0.01% 1 : 15515 99.74%
43 43s QT543 flush 4 0.01% 1 : 15515 99.73%
44 42s QT542 flush 4 0.01% 1 : 15515 99.72%
45 32s QT532 flush 4 0.01% 1 : 15515 99.72%
 
46 QQ QQQT5 three of a kind 64 0.10% 1 : 969 99.71%
47 TT QTTT5 three of a kind 64 0.10% 1 : 969 99.61%
48 55 QT555 three of a kind 64 0.10% 1 : 969 99.50%
 
49 QT QQTT5 two pairs 144 0.23% 1 : 430 99.40%
50 Q5 QQT55 two pairs 144 0.23% 1 : 430 99.17%
51 T5 QTT55 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAQT5 one pair 384 0.62% 1 : 161 98.70%
53 KK KKQT5 one pair 384 0.62% 1 : 161 98.09%
54 AQ AQQT5 one pair 384 0.62% 1 : 161 97.47%
55 KQ KQQT5 one pair 384 0.62% 1 : 161 96.85%
56 QJ QQJT5 one pair 384 0.62% 1 : 161 96.23%
57 Q9 QQT95 one pair 384 0.62% 1 : 161 95.61%
58 Q8 QQT85 one pair 384 0.62% 1 : 161 94.99%
59 Q7 QQT75 one pair 384 0.62% 1 : 161 94.37%
60 Q6 QQT65 one pair 384 0.62% 1 : 161 93.75%
61 Q4 QQT54 one pair 384 0.62% 1 : 161 93.14%
62 Q3 QQT53 one pair 384 0.62% 1 : 161 92.52%
63 Q2 QQT52 one pair 384 0.62% 1 : 161 91.90%
64 JJ QJJT5 one pair 384 0.62% 1 : 161 91.28%
65 AT AQTT5 one pair 384 0.62% 1 : 161 90.66%
66 KT KQTT5 one pair 384 0.62% 1 : 161 90.04%
67 JT QJTT5 one pair 384 0.62% 1 : 161 89.42%
68 T9 QTT95 one pair 384 0.62% 1 : 161 88.81%
69 T8 QTT85 one pair 384 0.62% 1 : 161 88.19%
70 T7 QTT75 one pair 384 0.62% 1 : 161 87.57%
71 T6 QTT65 one pair 384 0.62% 1 : 161 86.95%
72 T4 QTT54 one pair 384 0.62% 1 : 161 86.33%
73 T3 QTT53 one pair 384 0.62% 1 : 161 85.71%
74 T2 QTT52 one pair 384 0.62% 1 : 161 85.09%
75 99 QT995 one pair 384 0.62% 1 : 161 84.47%
76 88 QT885 one pair 384 0.62% 1 : 161 83.86%
77 77 QT775 one pair 384 0.62% 1 : 161 83.24%
78 66 QT665 one pair 384 0.62% 1 : 161 82.62%
79 A5 AQT55 one pair 384 0.62% 1 : 161 82.00%
80 K5 KQT55 one pair 384 0.62% 1 : 161 81.38%
81 J5 QJT55 one pair 384 0.62% 1 : 161 80.76%
82 95 QT955 one pair 384 0.62% 1 : 161 80.14%
83 85 QT855 one pair 384 0.62% 1 : 161 79.52%
84 75 QT755 one pair 384 0.62% 1 : 161 78.91%
85 65 QT655 one pair 384 0.62% 1 : 161 78.29%
86 54 QT554 one pair 384 0.62% 1 : 161 77.67%
87 53 QT553 one pair 384 0.62% 1 : 161 77.05%
88 52 QT552 one pair 384 0.62% 1 : 161 76.43%
89 44 QT544 one pair 384 0.62% 1 : 161 75.81%
90 33 QT533 one pair 384 0.62% 1 : 161 75.19%
91 22 QT522 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKQT5 high card 1,020 1.64% 1 : 59.8 73.96%
93 AJ AQJT5 high card 1,020 1.64% 1 : 59.8 72.31%
94 A9 AQT95 high card 1,020 1.64% 1 : 59.8 70.67%
95 A8 AQT85 high card 1,020 1.64% 1 : 59.8 69.03%
96 A7 AQT75 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 AQT65 high card 1,020 1.64% 1 : 59.8 65.74%
98 A4 AQT54 high card 1,020 1.64% 1 : 59.8 64.10%
99 A3 AQT53 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AQT52 high card 1,020 1.64% 1 : 59.8 60.81%
101 KJ KQJT5 high card 1,020 1.64% 1 : 59.8 59.16%
102 K9 KQT95 high card 1,020 1.64% 1 : 59.8 57.52%
103 K8 KQT85 high card 1,020 1.64% 1 : 59.8 55.88%
104 K7 KQT75 high card 1,020 1.64% 1 : 59.8 54.23%
105 K6 KQT65 high card 1,020 1.64% 1 : 59.8 52.59%
106 K4 KQT54 high card 1,020 1.64% 1 : 59.8 50.95%
107 K3 KQT53 high card 1,020 1.64% 1 : 59.8 49.30%
108 K2 KQT52 high card 1,020 1.64% 1 : 59.8 47.66%
109 J9 QJT95 high card 1,020 1.64% 1 : 59.8 46.02%
110 J8 QJT85 high card 1,020 1.64% 1 : 59.8 44.37%
111 J7 QJT75 high card 1,020 1.64% 1 : 59.8 42.73%
112 J6 QJT65 high card 1,020 1.64% 1 : 59.8 41.09%
113 J4 QJT54 high card 1,020 1.64% 1 : 59.8 39.44%
114 J3 QJT53 high card 1,020 1.64% 1 : 59.8 37.80%
115 J2 QJT52 high card 1,020 1.64% 1 : 59.8 36.16%
116 98 QT985 high card 1,020 1.64% 1 : 59.8 34.51%
117 97 QT975 high card 1,020 1.64% 1 : 59.8 32.87%
118 96 QT965 high card 1,020 1.64% 1 : 59.8 31.23%
119 94 QT954 high card 1,020 1.64% 1 : 59.8 29.58%
120 93 QT953 high card 1,020 1.64% 1 : 59.8 27.94%
121 92 QT952 high card 1,020 1.64% 1 : 59.8 26.30%
122 87 QT875 high card 1,020 1.64% 1 : 59.8 24.65%
123 86 QT865 high card 1,020 1.64% 1 : 59.8 23.01%
124 84 QT854 high card 1,020 1.64% 1 : 59.8 21.37%
125 83 QT853 high card 1,020 1.64% 1 : 59.8 19.72%
126 82 QT852 high card 1,020 1.64% 1 : 59.8 18.08%
127 76 QT765 high card 1,020 1.64% 1 : 59.8 16.43%
128 74 QT754 high card 1,020 1.64% 1 : 59.8 14.79%
129 73 QT753 high card 1,020 1.64% 1 : 59.8 13.15%
130 72 QT752 high card 1,020 1.64% 1 : 59.8 11.50%
131 64 QT654 high card 1,020 1.64% 1 : 59.8 9.86%
132 63 QT653 high card 1,020 1.64% 1 : 59.8 8.22%
133 62 QT652 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 QT543 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 QT542 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 QT532 high card 1,020 1.64% 1 : 59.8 1.64%