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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 AKT74 flush 4 0.01% 1 : 15515 100.00%
2 AQs AQT74 flush 4 0.01% 1 : 15515 99.99%
3 AJs AJT74 flush 4 0.01% 1 : 15515 99.99%
4 A9s AT974 flush 4 0.01% 1 : 15515 99.98%
5 A8s AT874 flush 4 0.01% 1 : 15515 99.97%
6 A6s AT764 flush 4 0.01% 1 : 15515 99.97%
7 A5s AT754 flush 4 0.01% 1 : 15515 99.96%
8 A3s AT743 flush 4 0.01% 1 : 15515 99.95%
9 A2s AT742 flush 4 0.01% 1 : 15515 99.95%
10 KQs KQT74 flush 4 0.01% 1 : 15515 99.94%
11 KJs KJT74 flush 4 0.01% 1 : 15515 99.94%
12 K9s KT974 flush 4 0.01% 1 : 15515 99.93%
13 K8s KT874 flush 4 0.01% 1 : 15515 99.92%
14 K6s KT764 flush 4 0.01% 1 : 15515 99.92%
15 K5s KT754 flush 4 0.01% 1 : 15515 99.91%
16 K3s KT743 flush 4 0.01% 1 : 15515 99.90%
17 K2s KT742 flush 4 0.01% 1 : 15515 99.90%
18 QJs QJT74 flush 4 0.01% 1 : 15515 99.89%
19 Q9s QT974 flush 4 0.01% 1 : 15515 99.88%
20 Q8s QT874 flush 4 0.01% 1 : 15515 99.88%
21 Q6s QT764 flush 4 0.01% 1 : 15515 99.87%
22 Q5s QT754 flush 4 0.01% 1 : 15515 99.86%
23 Q3s QT743 flush 4 0.01% 1 : 15515 99.86%
24 Q2s QT742 flush 4 0.01% 1 : 15515 99.85%
25 J9s JT974 flush 4 0.01% 1 : 15515 99.85%
26 J8s JT874 flush 4 0.01% 1 : 15515 99.84%
27 J6s JT764 flush 4 0.01% 1 : 15515 99.83%
28 J5s JT754 flush 4 0.01% 1 : 15515 99.83%
29 J3s JT743 flush 4 0.01% 1 : 15515 99.82%
30 J2s JT742 flush 4 0.01% 1 : 15515 99.81%
31 98s T9874 flush 4 0.01% 1 : 15515 99.81%
32 96s T9764 flush 4 0.01% 1 : 15515 99.80%
33 95s T9754 flush 4 0.01% 1 : 15515 99.79%
34 93s T9743 flush 4 0.01% 1 : 15515 99.79%
35 92s T9742 flush 4 0.01% 1 : 15515 99.78%
36 86s T8764 flush 4 0.01% 1 : 15515 99.77%
37 85s T8754 flush 4 0.01% 1 : 15515 99.77%
38 83s T8743 flush 4 0.01% 1 : 15515 99.76%
39 82s T8742 flush 4 0.01% 1 : 15515 99.76%
40 65s T7654 flush 4 0.01% 1 : 15515 99.75%
41 63s T7643 flush 4 0.01% 1 : 15515 99.74%
42 62s T7642 flush 4 0.01% 1 : 15515 99.74%
43 53s T7543 flush 4 0.01% 1 : 15515 99.73%
44 52s T7542 flush 4 0.01% 1 : 15515 99.72%
45 32s T7432 flush 4 0.01% 1 : 15515 99.72%
 
46 TT TTT74 three of a kind 64 0.10% 1 : 969 99.71%
47 77 T7774 three of a kind 64 0.10% 1 : 969 99.61%
48 44 T7444 three of a kind 64 0.10% 1 : 969 99.50%
 
49 T7 TT774 two pairs 144 0.23% 1 : 430 99.40%
50 T4 TT744 two pairs 144 0.23% 1 : 430 99.17%
51 74 T7744 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAT74 one pair 384 0.62% 1 : 161 98.70%
53 KK KKT74 one pair 384 0.62% 1 : 161 98.09%
54 QQ QQT74 one pair 384 0.62% 1 : 161 97.47%
55 JJ JJT74 one pair 384 0.62% 1 : 161 96.85%
56 AT ATT74 one pair 384 0.62% 1 : 161 96.23%
57 KT KTT74 one pair 384 0.62% 1 : 161 95.61%
58 QT QTT74 one pair 384 0.62% 1 : 161 94.99%
59 JT JTT74 one pair 384 0.62% 1 : 161 94.37%
60 T9 TT974 one pair 384 0.62% 1 : 161 93.75%
61 T8 TT874 one pair 384 0.62% 1 : 161 93.14%
62 T6 TT764 one pair 384 0.62% 1 : 161 92.52%
63 T5 TT754 one pair 384 0.62% 1 : 161 91.90%
64 T3 TT743 one pair 384 0.62% 1 : 161 91.28%
65 T2 TT742 one pair 384 0.62% 1 : 161 90.66%
66 99 T9974 one pair 384 0.62% 1 : 161 90.04%
67 88 T8874 one pair 384 0.62% 1 : 161 89.42%
68 A7 AT774 one pair 384 0.62% 1 : 161 88.81%
69 K7 KT774 one pair 384 0.62% 1 : 161 88.19%
70 Q7 QT774 one pair 384 0.62% 1 : 161 87.57%
71 J7 JT774 one pair 384 0.62% 1 : 161 86.95%
72 97 T9774 one pair 384 0.62% 1 : 161 86.33%
73 87 T8774 one pair 384 0.62% 1 : 161 85.71%
74 76 T7764 one pair 384 0.62% 1 : 161 85.09%
75 75 T7754 one pair 384 0.62% 1 : 161 84.47%
76 73 T7743 one pair 384 0.62% 1 : 161 83.86%
77 72 T7742 one pair 384 0.62% 1 : 161 83.24%
78 66 T7664 one pair 384 0.62% 1 : 161 82.62%
79 55 T7554 one pair 384 0.62% 1 : 161 82.00%
80 A4 AT744 one pair 384 0.62% 1 : 161 81.38%
81 K4 KT744 one pair 384 0.62% 1 : 161 80.76%
82 Q4 QT744 one pair 384 0.62% 1 : 161 80.14%
83 J4 JT744 one pair 384 0.62% 1 : 161 79.52%
84 94 T9744 one pair 384 0.62% 1 : 161 78.91%
85 84 T8744 one pair 384 0.62% 1 : 161 78.29%
86 64 T7644 one pair 384 0.62% 1 : 161 77.67%
87 54 T7544 one pair 384 0.62% 1 : 161 77.05%
88 43 T7443 one pair 384 0.62% 1 : 161 76.43%
89 42 T7442 one pair 384 0.62% 1 : 161 75.81%
90 33 T7433 one pair 384 0.62% 1 : 161 75.19%
91 22 T7422 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKT74 high card 1,020 1.64% 1 : 59.8 73.96%
93 AQ AQT74 high card 1,020 1.64% 1 : 59.8 72.31%
94 AJ AJT74 high card 1,020 1.64% 1 : 59.8 70.67%
95 A9 AT974 high card 1,020 1.64% 1 : 59.8 69.03%
96 A8 AT874 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 AT764 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 AT754 high card 1,020 1.64% 1 : 59.8 64.10%
99 A3 AT743 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AT742 high card 1,020 1.64% 1 : 59.8 60.81%
101 KQ KQT74 high card 1,020 1.64% 1 : 59.8 59.16%
102 KJ KJT74 high card 1,020 1.64% 1 : 59.8 57.52%
103 K9 KT974 high card 1,020 1.64% 1 : 59.8 55.88%
104 K8 KT874 high card 1,020 1.64% 1 : 59.8 54.23%
105 K6 KT764 high card 1,020 1.64% 1 : 59.8 52.59%
106 K5 KT754 high card 1,020 1.64% 1 : 59.8 50.95%
107 K3 KT743 high card 1,020 1.64% 1 : 59.8 49.30%
108 K2 KT742 high card 1,020 1.64% 1 : 59.8 47.66%
109 QJ QJT74 high card 1,020 1.64% 1 : 59.8 46.02%
110 Q9 QT974 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q8 QT874 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q6 QT764 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q5 QT754 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q3 QT743 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q2 QT742 high card 1,020 1.64% 1 : 59.8 36.16%
116 J9 JT974 high card 1,020 1.64% 1 : 59.8 34.51%
117 J8 JT874 high card 1,020 1.64% 1 : 59.8 32.87%
118 J6 JT764 high card 1,020 1.64% 1 : 59.8 31.23%
119 J5 JT754 high card 1,020 1.64% 1 : 59.8 29.58%
120 J3 JT743 high card 1,020 1.64% 1 : 59.8 27.94%
121 J2 JT742 high card 1,020 1.64% 1 : 59.8 26.30%
122 98 T9874 high card 1,020 1.64% 1 : 59.8 24.65%
123 96 T9764 high card 1,020 1.64% 1 : 59.8 23.01%
124 95 T9754 high card 1,020 1.64% 1 : 59.8 21.37%
125 93 T9743 high card 1,020 1.64% 1 : 59.8 19.72%
126 92 T9742 high card 1,020 1.64% 1 : 59.8 18.08%
127 86 T8764 high card 1,020 1.64% 1 : 59.8 16.43%
128 85 T8754 high card 1,020 1.64% 1 : 59.8 14.79%
129 83 T8743 high card 1,020 1.64% 1 : 59.8 13.15%
130 82 T8742 high card 1,020 1.64% 1 : 59.8 11.50%
131 65 T7654 high card 1,020 1.64% 1 : 59.8 9.86%
132 63 T7643 high card 1,020 1.64% 1 : 59.8 8.22%
133 62 T7642 high card 1,020 1.64% 1 : 59.8 6.57%
134 53 T7543 high card 1,020 1.64% 1 : 59.8 4.93%
135 52 T7542 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 T7432 high card 1,020 1.64% 1 : 59.8 1.64%