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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 AKQT4 flush 4 0.01% 1 : 15515 100.00%
2 AJs AQJT4 flush 4 0.01% 1 : 15515 99.99%
3 A9s AQT94 flush 4 0.01% 1 : 15515 99.99%
4 A8s AQT84 flush 4 0.01% 1 : 15515 99.98%
5 A7s AQT74 flush 4 0.01% 1 : 15515 99.97%
6 A6s AQT64 flush 4 0.01% 1 : 15515 99.97%
7 A5s AQT54 flush 4 0.01% 1 : 15515 99.96%
8 A3s AQT43 flush 4 0.01% 1 : 15515 99.95%
9 A2s AQT42 flush 4 0.01% 1 : 15515 99.95%
10 KJs KQJT4 flush 4 0.01% 1 : 15515 99.94%
11 K9s KQT94 flush 4 0.01% 1 : 15515 99.94%
12 K8s KQT84 flush 4 0.01% 1 : 15515 99.93%
13 K7s KQT74 flush 4 0.01% 1 : 15515 99.92%
14 K6s KQT64 flush 4 0.01% 1 : 15515 99.92%
15 K5s KQT54 flush 4 0.01% 1 : 15515 99.91%
16 K3s KQT43 flush 4 0.01% 1 : 15515 99.90%
17 K2s KQT42 flush 4 0.01% 1 : 15515 99.90%
18 J9s QJT94 flush 4 0.01% 1 : 15515 99.89%
19 J8s QJT84 flush 4 0.01% 1 : 15515 99.88%
20 J7s QJT74 flush 4 0.01% 1 : 15515 99.88%
21 J6s QJT64 flush 4 0.01% 1 : 15515 99.87%
22 J5s QJT54 flush 4 0.01% 1 : 15515 99.86%
23 J3s QJT43 flush 4 0.01% 1 : 15515 99.86%
24 J2s QJT42 flush 4 0.01% 1 : 15515 99.85%
25 98s QT984 flush 4 0.01% 1 : 15515 99.85%
26 97s QT974 flush 4 0.01% 1 : 15515 99.84%
27 96s QT964 flush 4 0.01% 1 : 15515 99.83%
28 95s QT954 flush 4 0.01% 1 : 15515 99.83%
29 93s QT943 flush 4 0.01% 1 : 15515 99.82%
30 92s QT942 flush 4 0.01% 1 : 15515 99.81%
31 87s QT874 flush 4 0.01% 1 : 15515 99.81%
32 86s QT864 flush 4 0.01% 1 : 15515 99.80%
33 85s QT854 flush 4 0.01% 1 : 15515 99.79%
34 83s QT843 flush 4 0.01% 1 : 15515 99.79%
35 82s QT842 flush 4 0.01% 1 : 15515 99.78%
36 76s QT764 flush 4 0.01% 1 : 15515 99.77%
37 75s QT754 flush 4 0.01% 1 : 15515 99.77%
38 73s QT743 flush 4 0.01% 1 : 15515 99.76%
39 72s QT742 flush 4 0.01% 1 : 15515 99.76%
40 65s QT654 flush 4 0.01% 1 : 15515 99.75%
41 63s QT643 flush 4 0.01% 1 : 15515 99.74%
42 62s QT642 flush 4 0.01% 1 : 15515 99.74%
43 53s QT543 flush 4 0.01% 1 : 15515 99.73%
44 52s QT542 flush 4 0.01% 1 : 15515 99.72%
45 32s QT432 flush 4 0.01% 1 : 15515 99.72%
 
46 QQ QQQT4 three of a kind 64 0.10% 1 : 969 99.71%
47 TT QTTT4 three of a kind 64 0.10% 1 : 969 99.61%
48 44 QT444 three of a kind 64 0.10% 1 : 969 99.50%
 
49 QT QQTT4 two pairs 144 0.23% 1 : 430 99.40%
50 Q4 QQT44 two pairs 144 0.23% 1 : 430 99.17%
51 T4 QTT44 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAQT4 one pair 384 0.62% 1 : 161 98.70%
53 KK KKQT4 one pair 384 0.62% 1 : 161 98.09%
54 AQ AQQT4 one pair 384 0.62% 1 : 161 97.47%
55 KQ KQQT4 one pair 384 0.62% 1 : 161 96.85%
56 QJ QQJT4 one pair 384 0.62% 1 : 161 96.23%
57 Q9 QQT94 one pair 384 0.62% 1 : 161 95.61%
58 Q8 QQT84 one pair 384 0.62% 1 : 161 94.99%
59 Q7 QQT74 one pair 384 0.62% 1 : 161 94.37%
60 Q6 QQT64 one pair 384 0.62% 1 : 161 93.75%
61 Q5 QQT54 one pair 384 0.62% 1 : 161 93.14%
62 Q3 QQT43 one pair 384 0.62% 1 : 161 92.52%
63 Q2 QQT42 one pair 384 0.62% 1 : 161 91.90%
64 JJ QJJT4 one pair 384 0.62% 1 : 161 91.28%
65 AT AQTT4 one pair 384 0.62% 1 : 161 90.66%
66 KT KQTT4 one pair 384 0.62% 1 : 161 90.04%
67 JT QJTT4 one pair 384 0.62% 1 : 161 89.42%
68 T9 QTT94 one pair 384 0.62% 1 : 161 88.81%
69 T8 QTT84 one pair 384 0.62% 1 : 161 88.19%
70 T7 QTT74 one pair 384 0.62% 1 : 161 87.57%
71 T6 QTT64 one pair 384 0.62% 1 : 161 86.95%
72 T5 QTT54 one pair 384 0.62% 1 : 161 86.33%
73 T3 QTT43 one pair 384 0.62% 1 : 161 85.71%
74 T2 QTT42 one pair 384 0.62% 1 : 161 85.09%
75 99 QT994 one pair 384 0.62% 1 : 161 84.47%
76 88 QT884 one pair 384 0.62% 1 : 161 83.86%
77 77 QT774 one pair 384 0.62% 1 : 161 83.24%
78 66 QT664 one pair 384 0.62% 1 : 161 82.62%
79 55 QT554 one pair 384 0.62% 1 : 161 82.00%
80 A4 AQT44 one pair 384 0.62% 1 : 161 81.38%
81 K4 KQT44 one pair 384 0.62% 1 : 161 80.76%
82 J4 QJT44 one pair 384 0.62% 1 : 161 80.14%
83 94 QT944 one pair 384 0.62% 1 : 161 79.52%
84 84 QT844 one pair 384 0.62% 1 : 161 78.91%
85 74 QT744 one pair 384 0.62% 1 : 161 78.29%
86 64 QT644 one pair 384 0.62% 1 : 161 77.67%
87 54 QT544 one pair 384 0.62% 1 : 161 77.05%
88 43 QT443 one pair 384 0.62% 1 : 161 76.43%
89 42 QT442 one pair 384 0.62% 1 : 161 75.81%
90 33 QT433 one pair 384 0.62% 1 : 161 75.19%
91 22 QT422 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKQT4 high card 1,020 1.64% 1 : 59.8 73.96%
93 AJ AQJT4 high card 1,020 1.64% 1 : 59.8 72.31%
94 A9 AQT94 high card 1,020 1.64% 1 : 59.8 70.67%
95 A8 AQT84 high card 1,020 1.64% 1 : 59.8 69.03%
96 A7 AQT74 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 AQT64 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 AQT54 high card 1,020 1.64% 1 : 59.8 64.10%
99 A3 AQT43 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AQT42 high card 1,020 1.64% 1 : 59.8 60.81%
101 KJ KQJT4 high card 1,020 1.64% 1 : 59.8 59.16%
102 K9 KQT94 high card 1,020 1.64% 1 : 59.8 57.52%
103 K8 KQT84 high card 1,020 1.64% 1 : 59.8 55.88%
104 K7 KQT74 high card 1,020 1.64% 1 : 59.8 54.23%
105 K6 KQT64 high card 1,020 1.64% 1 : 59.8 52.59%
106 K5 KQT54 high card 1,020 1.64% 1 : 59.8 50.95%
107 K3 KQT43 high card 1,020 1.64% 1 : 59.8 49.30%
108 K2 KQT42 high card 1,020 1.64% 1 : 59.8 47.66%
109 J9 QJT94 high card 1,020 1.64% 1 : 59.8 46.02%
110 J8 QJT84 high card 1,020 1.64% 1 : 59.8 44.37%
111 J7 QJT74 high card 1,020 1.64% 1 : 59.8 42.73%
112 J6 QJT64 high card 1,020 1.64% 1 : 59.8 41.09%
113 J5 QJT54 high card 1,020 1.64% 1 : 59.8 39.44%
114 J3 QJT43 high card 1,020 1.64% 1 : 59.8 37.80%
115 J2 QJT42 high card 1,020 1.64% 1 : 59.8 36.16%
116 98 QT984 high card 1,020 1.64% 1 : 59.8 34.51%
117 97 QT974 high card 1,020 1.64% 1 : 59.8 32.87%
118 96 QT964 high card 1,020 1.64% 1 : 59.8 31.23%
119 95 QT954 high card 1,020 1.64% 1 : 59.8 29.58%
120 93 QT943 high card 1,020 1.64% 1 : 59.8 27.94%
121 92 QT942 high card 1,020 1.64% 1 : 59.8 26.30%
122 87 QT874 high card 1,020 1.64% 1 : 59.8 24.65%
123 86 QT864 high card 1,020 1.64% 1 : 59.8 23.01%
124 85 QT854 high card 1,020 1.64% 1 : 59.8 21.37%
125 83 QT843 high card 1,020 1.64% 1 : 59.8 19.72%
126 82 QT842 high card 1,020 1.64% 1 : 59.8 18.08%
127 76 QT764 high card 1,020 1.64% 1 : 59.8 16.43%
128 75 QT754 high card 1,020 1.64% 1 : 59.8 14.79%
129 73 QT743 high card 1,020 1.64% 1 : 59.8 13.15%
130 72 QT742 high card 1,020 1.64% 1 : 59.8 11.50%
131 65 QT654 high card 1,020 1.64% 1 : 59.8 9.86%
132 63 QT643 high card 1,020 1.64% 1 : 59.8 8.22%
133 62 QT642 high card 1,020 1.64% 1 : 59.8 6.57%
134 53 QT543 high card 1,020 1.64% 1 : 59.8 4.93%
135 52 QT542 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 QT432 high card 1,020 1.64% 1 : 59.8 1.64%