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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 AKJ74 flush 4 0.01% 1 : 15515 100.00%
2 AQs AQJ74 flush 4 0.01% 1 : 15515 99.99%
3 ATs AJT74 flush 4 0.01% 1 : 15515 99.99%
4 A9s AJ974 flush 4 0.01% 1 : 15515 99.98%
5 A8s AJ874 flush 4 0.01% 1 : 15515 99.97%
6 A6s AJ764 flush 4 0.01% 1 : 15515 99.97%
7 A5s AJ754 flush 4 0.01% 1 : 15515 99.96%
8 A3s AJ743 flush 4 0.01% 1 : 15515 99.95%
9 A2s AJ742 flush 4 0.01% 1 : 15515 99.95%
10 KQs KQJ74 flush 4 0.01% 1 : 15515 99.94%
11 KTs KJT74 flush 4 0.01% 1 : 15515 99.94%
12 K9s KJ974 flush 4 0.01% 1 : 15515 99.93%
13 K8s KJ874 flush 4 0.01% 1 : 15515 99.92%
14 K6s KJ764 flush 4 0.01% 1 : 15515 99.92%
15 K5s KJ754 flush 4 0.01% 1 : 15515 99.91%
16 K3s KJ743 flush 4 0.01% 1 : 15515 99.90%
17 K2s KJ742 flush 4 0.01% 1 : 15515 99.90%
18 QTs QJT74 flush 4 0.01% 1 : 15515 99.89%
19 Q9s QJ974 flush 4 0.01% 1 : 15515 99.88%
20 Q8s QJ874 flush 4 0.01% 1 : 15515 99.88%
21 Q6s QJ764 flush 4 0.01% 1 : 15515 99.87%
22 Q5s QJ754 flush 4 0.01% 1 : 15515 99.86%
23 Q3s QJ743 flush 4 0.01% 1 : 15515 99.86%
24 Q2s QJ742 flush 4 0.01% 1 : 15515 99.85%
25 T9s JT974 flush 4 0.01% 1 : 15515 99.85%
26 T8s JT874 flush 4 0.01% 1 : 15515 99.84%
27 T6s JT764 flush 4 0.01% 1 : 15515 99.83%
28 T5s JT754 flush 4 0.01% 1 : 15515 99.83%
29 T3s JT743 flush 4 0.01% 1 : 15515 99.82%
30 T2s JT742 flush 4 0.01% 1 : 15515 99.81%
31 98s J9874 flush 4 0.01% 1 : 15515 99.81%
32 96s J9764 flush 4 0.01% 1 : 15515 99.80%
33 95s J9754 flush 4 0.01% 1 : 15515 99.79%
34 93s J9743 flush 4 0.01% 1 : 15515 99.79%
35 92s J9742 flush 4 0.01% 1 : 15515 99.78%
36 86s J8764 flush 4 0.01% 1 : 15515 99.77%
37 85s J8754 flush 4 0.01% 1 : 15515 99.77%
38 83s J8743 flush 4 0.01% 1 : 15515 99.76%
39 82s J8742 flush 4 0.01% 1 : 15515 99.76%
40 65s J7654 flush 4 0.01% 1 : 15515 99.75%
41 63s J7643 flush 4 0.01% 1 : 15515 99.74%
42 62s J7642 flush 4 0.01% 1 : 15515 99.74%
43 53s J7543 flush 4 0.01% 1 : 15515 99.73%
44 52s J7542 flush 4 0.01% 1 : 15515 99.72%
45 32s J7432 flush 4 0.01% 1 : 15515 99.72%
 
46 JJ JJJ74 three of a kind 64 0.10% 1 : 969 99.71%
47 77 J7774 three of a kind 64 0.10% 1 : 969 99.61%
48 44 J7444 three of a kind 64 0.10% 1 : 969 99.50%
 
49 J7 JJ774 two pairs 144 0.23% 1 : 430 99.40%
50 J4 JJ744 two pairs 144 0.23% 1 : 430 99.17%
51 74 J7744 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAJ74 one pair 384 0.62% 1 : 161 98.70%
53 KK KKJ74 one pair 384 0.62% 1 : 161 98.09%
54 QQ QQJ74 one pair 384 0.62% 1 : 161 97.47%
55 AJ AJJ74 one pair 384 0.62% 1 : 161 96.85%
56 KJ KJJ74 one pair 384 0.62% 1 : 161 96.23%
57 QJ QJJ74 one pair 384 0.62% 1 : 161 95.61%
58 JT JJT74 one pair 384 0.62% 1 : 161 94.99%
59 J9 JJ974 one pair 384 0.62% 1 : 161 94.37%
60 J8 JJ874 one pair 384 0.62% 1 : 161 93.75%
61 J6 JJ764 one pair 384 0.62% 1 : 161 93.14%
62 J5 JJ754 one pair 384 0.62% 1 : 161 92.52%
63 J3 JJ743 one pair 384 0.62% 1 : 161 91.90%
64 J2 JJ742 one pair 384 0.62% 1 : 161 91.28%
65 TT JTT74 one pair 384 0.62% 1 : 161 90.66%
66 99 J9974 one pair 384 0.62% 1 : 161 90.04%
67 88 J8874 one pair 384 0.62% 1 : 161 89.42%
68 A7 AJ774 one pair 384 0.62% 1 : 161 88.81%
69 K7 KJ774 one pair 384 0.62% 1 : 161 88.19%
70 Q7 QJ774 one pair 384 0.62% 1 : 161 87.57%
71 T7 JT774 one pair 384 0.62% 1 : 161 86.95%
72 97 J9774 one pair 384 0.62% 1 : 161 86.33%
73 87 J8774 one pair 384 0.62% 1 : 161 85.71%
74 76 J7764 one pair 384 0.62% 1 : 161 85.09%
75 75 J7754 one pair 384 0.62% 1 : 161 84.47%
76 73 J7743 one pair 384 0.62% 1 : 161 83.86%
77 72 J7742 one pair 384 0.62% 1 : 161 83.24%
78 66 J7664 one pair 384 0.62% 1 : 161 82.62%
79 55 J7554 one pair 384 0.62% 1 : 161 82.00%
80 A4 AJ744 one pair 384 0.62% 1 : 161 81.38%
81 K4 KJ744 one pair 384 0.62% 1 : 161 80.76%
82 Q4 QJ744 one pair 384 0.62% 1 : 161 80.14%
83 T4 JT744 one pair 384 0.62% 1 : 161 79.52%
84 94 J9744 one pair 384 0.62% 1 : 161 78.91%
85 84 J8744 one pair 384 0.62% 1 : 161 78.29%
86 64 J7644 one pair 384 0.62% 1 : 161 77.67%
87 54 J7544 one pair 384 0.62% 1 : 161 77.05%
88 43 J7443 one pair 384 0.62% 1 : 161 76.43%
89 42 J7442 one pair 384 0.62% 1 : 161 75.81%
90 33 J7433 one pair 384 0.62% 1 : 161 75.19%
91 22 J7422 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKJ74 high card 1,020 1.64% 1 : 59.8 73.96%
93 AQ AQJ74 high card 1,020 1.64% 1 : 59.8 72.31%
94 AT AJT74 high card 1,020 1.64% 1 : 59.8 70.67%
95 A9 AJ974 high card 1,020 1.64% 1 : 59.8 69.03%
96 A8 AJ874 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 AJ764 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 AJ754 high card 1,020 1.64% 1 : 59.8 64.10%
99 A3 AJ743 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AJ742 high card 1,020 1.64% 1 : 59.8 60.81%
101 KQ KQJ74 high card 1,020 1.64% 1 : 59.8 59.16%
102 KT KJT74 high card 1,020 1.64% 1 : 59.8 57.52%
103 K9 KJ974 high card 1,020 1.64% 1 : 59.8 55.88%
104 K8 KJ874 high card 1,020 1.64% 1 : 59.8 54.23%
105 K6 KJ764 high card 1,020 1.64% 1 : 59.8 52.59%
106 K5 KJ754 high card 1,020 1.64% 1 : 59.8 50.95%
107 K3 KJ743 high card 1,020 1.64% 1 : 59.8 49.30%
108 K2 KJ742 high card 1,020 1.64% 1 : 59.8 47.66%
109 QT QJT74 high card 1,020 1.64% 1 : 59.8 46.02%
110 Q9 QJ974 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q8 QJ874 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q6 QJ764 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q5 QJ754 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q3 QJ743 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q2 QJ742 high card 1,020 1.64% 1 : 59.8 36.16%
116 T9 JT974 high card 1,020 1.64% 1 : 59.8 34.51%
117 T8 JT874 high card 1,020 1.64% 1 : 59.8 32.87%
118 T6 JT764 high card 1,020 1.64% 1 : 59.8 31.23%
119 T5 JT754 high card 1,020 1.64% 1 : 59.8 29.58%
120 T3 JT743 high card 1,020 1.64% 1 : 59.8 27.94%
121 T2 JT742 high card 1,020 1.64% 1 : 59.8 26.30%
122 98 J9874 high card 1,020 1.64% 1 : 59.8 24.65%
123 96 J9764 high card 1,020 1.64% 1 : 59.8 23.01%
124 95 J9754 high card 1,020 1.64% 1 : 59.8 21.37%
125 93 J9743 high card 1,020 1.64% 1 : 59.8 19.72%
126 92 J9742 high card 1,020 1.64% 1 : 59.8 18.08%
127 86 J8764 high card 1,020 1.64% 1 : 59.8 16.43%
128 85 J8754 high card 1,020 1.64% 1 : 59.8 14.79%
129 83 J8743 high card 1,020 1.64% 1 : 59.8 13.15%
130 82 J8742 high card 1,020 1.64% 1 : 59.8 11.50%
131 65 J7654 high card 1,020 1.64% 1 : 59.8 9.86%
132 63 J7643 high card 1,020 1.64% 1 : 59.8 8.22%
133 62 J7642 high card 1,020 1.64% 1 : 59.8 6.57%
134 53 J7543 high card 1,020 1.64% 1 : 59.8 4.93%
135 52 J7542 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 J7432 high card 1,020 1.64% 1 : 59.8 1.64%