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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 AKQ74 flush 4 0.01% 1 : 15515 100.00%
2 AJs AKJ74 flush 4 0.01% 1 : 15515 99.99%
3 ATs AKT74 flush 4 0.01% 1 : 15515 99.99%
4 A9s AK974 flush 4 0.01% 1 : 15515 99.98%
5 A8s AK874 flush 4 0.01% 1 : 15515 99.97%
6 A6s AK764 flush 4 0.01% 1 : 15515 99.97%
7 A5s AK754 flush 4 0.01% 1 : 15515 99.96%
8 A3s AK743 flush 4 0.01% 1 : 15515 99.95%
9 A2s AK742 flush 4 0.01% 1 : 15515 99.95%
10 QJs KQJ74 flush 4 0.01% 1 : 15515 99.94%
11 QTs KQT74 flush 4 0.01% 1 : 15515 99.94%
12 Q9s KQ974 flush 4 0.01% 1 : 15515 99.93%
13 Q8s KQ874 flush 4 0.01% 1 : 15515 99.92%
14 Q6s KQ764 flush 4 0.01% 1 : 15515 99.92%
15 Q5s KQ754 flush 4 0.01% 1 : 15515 99.91%
16 Q3s KQ743 flush 4 0.01% 1 : 15515 99.90%
17 Q2s KQ742 flush 4 0.01% 1 : 15515 99.90%
18 JTs KJT74 flush 4 0.01% 1 : 15515 99.89%
19 J9s KJ974 flush 4 0.01% 1 : 15515 99.88%
20 J8s KJ874 flush 4 0.01% 1 : 15515 99.88%
21 J6s KJ764 flush 4 0.01% 1 : 15515 99.87%
22 J5s KJ754 flush 4 0.01% 1 : 15515 99.86%
23 J3s KJ743 flush 4 0.01% 1 : 15515 99.86%
24 J2s KJ742 flush 4 0.01% 1 : 15515 99.85%
25 T9s KT974 flush 4 0.01% 1 : 15515 99.85%
26 T8s KT874 flush 4 0.01% 1 : 15515 99.84%
27 T6s KT764 flush 4 0.01% 1 : 15515 99.83%
28 T5s KT754 flush 4 0.01% 1 : 15515 99.83%
29 T3s KT743 flush 4 0.01% 1 : 15515 99.82%
30 T2s KT742 flush 4 0.01% 1 : 15515 99.81%
31 98s K9874 flush 4 0.01% 1 : 15515 99.81%
32 96s K9764 flush 4 0.01% 1 : 15515 99.80%
33 95s K9754 flush 4 0.01% 1 : 15515 99.79%
34 93s K9743 flush 4 0.01% 1 : 15515 99.79%
35 92s K9742 flush 4 0.01% 1 : 15515 99.78%
36 86s K8764 flush 4 0.01% 1 : 15515 99.77%
37 85s K8754 flush 4 0.01% 1 : 15515 99.77%
38 83s K8743 flush 4 0.01% 1 : 15515 99.76%
39 82s K8742 flush 4 0.01% 1 : 15515 99.76%
40 65s K7654 flush 4 0.01% 1 : 15515 99.75%
41 63s K7643 flush 4 0.01% 1 : 15515 99.74%
42 62s K7642 flush 4 0.01% 1 : 15515 99.74%
43 53s K7543 flush 4 0.01% 1 : 15515 99.73%
44 52s K7542 flush 4 0.01% 1 : 15515 99.72%
45 32s K7432 flush 4 0.01% 1 : 15515 99.72%
 
46 KK KKK74 three of a kind 64 0.10% 1 : 969 99.71%
47 77 K7774 three of a kind 64 0.10% 1 : 969 99.61%
48 44 K7444 three of a kind 64 0.10% 1 : 969 99.50%
 
49 K7 KK774 two pairs 144 0.23% 1 : 430 99.40%
50 K4 KK744 two pairs 144 0.23% 1 : 430 99.17%
51 74 K7744 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAK74 one pair 384 0.62% 1 : 161 98.70%
53 AK AKK74 one pair 384 0.62% 1 : 161 98.09%
54 KQ KKQ74 one pair 384 0.62% 1 : 161 97.47%
55 KJ KKJ74 one pair 384 0.62% 1 : 161 96.85%
56 KT KKT74 one pair 384 0.62% 1 : 161 96.23%
57 K9 KK974 one pair 384 0.62% 1 : 161 95.61%
58 K8 KK874 one pair 384 0.62% 1 : 161 94.99%
59 K6 KK764 one pair 384 0.62% 1 : 161 94.37%
60 K5 KK754 one pair 384 0.62% 1 : 161 93.75%
61 K3 KK743 one pair 384 0.62% 1 : 161 93.14%
62 K2 KK742 one pair 384 0.62% 1 : 161 92.52%
63 QQ KQQ74 one pair 384 0.62% 1 : 161 91.90%
64 JJ KJJ74 one pair 384 0.62% 1 : 161 91.28%
65 TT KTT74 one pair 384 0.62% 1 : 161 90.66%
66 99 K9974 one pair 384 0.62% 1 : 161 90.04%
67 88 K8874 one pair 384 0.62% 1 : 161 89.42%
68 A7 AK774 one pair 384 0.62% 1 : 161 88.81%
69 Q7 KQ774 one pair 384 0.62% 1 : 161 88.19%
70 J7 KJ774 one pair 384 0.62% 1 : 161 87.57%
71 T7 KT774 one pair 384 0.62% 1 : 161 86.95%
72 97 K9774 one pair 384 0.62% 1 : 161 86.33%
73 87 K8774 one pair 384 0.62% 1 : 161 85.71%
74 76 K7764 one pair 384 0.62% 1 : 161 85.09%
75 75 K7754 one pair 384 0.62% 1 : 161 84.47%
76 73 K7743 one pair 384 0.62% 1 : 161 83.86%
77 72 K7742 one pair 384 0.62% 1 : 161 83.24%
78 66 K7664 one pair 384 0.62% 1 : 161 82.62%
79 55 K7554 one pair 384 0.62% 1 : 161 82.00%
80 A4 AK744 one pair 384 0.62% 1 : 161 81.38%
81 Q4 KQ744 one pair 384 0.62% 1 : 161 80.76%
82 J4 KJ744 one pair 384 0.62% 1 : 161 80.14%
83 T4 KT744 one pair 384 0.62% 1 : 161 79.52%
84 94 K9744 one pair 384 0.62% 1 : 161 78.91%
85 84 K8744 one pair 384 0.62% 1 : 161 78.29%
86 64 K7644 one pair 384 0.62% 1 : 161 77.67%
87 54 K7544 one pair 384 0.62% 1 : 161 77.05%
88 43 K7443 one pair 384 0.62% 1 : 161 76.43%
89 42 K7442 one pair 384 0.62% 1 : 161 75.81%
90 33 K7433 one pair 384 0.62% 1 : 161 75.19%
91 22 K7422 one pair 384 0.62% 1 : 161 74.57%
 
92 AQ AKQ74 high card 1,020 1.64% 1 : 59.8 73.96%
93 AJ AKJ74 high card 1,020 1.64% 1 : 59.8 72.31%
94 AT AKT74 high card 1,020 1.64% 1 : 59.8 70.67%
95 A9 AK974 high card 1,020 1.64% 1 : 59.8 69.03%
96 A8 AK874 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 AK764 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 AK754 high card 1,020 1.64% 1 : 59.8 64.10%
99 A3 AK743 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AK742 high card 1,020 1.64% 1 : 59.8 60.81%
101 QJ KQJ74 high card 1,020 1.64% 1 : 59.8 59.16%
102 QT KQT74 high card 1,020 1.64% 1 : 59.8 57.52%
103 Q9 KQ974 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q8 KQ874 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q6 KQ764 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q5 KQ754 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q3 KQ743 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q2 KQ742 high card 1,020 1.64% 1 : 59.8 47.66%
109 JT KJT74 high card 1,020 1.64% 1 : 59.8 46.02%
110 J9 KJ974 high card 1,020 1.64% 1 : 59.8 44.37%
111 J8 KJ874 high card 1,020 1.64% 1 : 59.8 42.73%
112 J6 KJ764 high card 1,020 1.64% 1 : 59.8 41.09%
113 J5 KJ754 high card 1,020 1.64% 1 : 59.8 39.44%
114 J3 KJ743 high card 1,020 1.64% 1 : 59.8 37.80%
115 J2 KJ742 high card 1,020 1.64% 1 : 59.8 36.16%
116 T9 KT974 high card 1,020 1.64% 1 : 59.8 34.51%
117 T8 KT874 high card 1,020 1.64% 1 : 59.8 32.87%
118 T6 KT764 high card 1,020 1.64% 1 : 59.8 31.23%
119 T5 KT754 high card 1,020 1.64% 1 : 59.8 29.58%
120 T3 KT743 high card 1,020 1.64% 1 : 59.8 27.94%
121 T2 KT742 high card 1,020 1.64% 1 : 59.8 26.30%
122 98 K9874 high card 1,020 1.64% 1 : 59.8 24.65%
123 96 K9764 high card 1,020 1.64% 1 : 59.8 23.01%
124 95 K9754 high card 1,020 1.64% 1 : 59.8 21.37%
125 93 K9743 high card 1,020 1.64% 1 : 59.8 19.72%
126 92 K9742 high card 1,020 1.64% 1 : 59.8 18.08%
127 86 K8764 high card 1,020 1.64% 1 : 59.8 16.43%
128 85 K8754 high card 1,020 1.64% 1 : 59.8 14.79%
129 83 K8743 high card 1,020 1.64% 1 : 59.8 13.15%
130 82 K8742 high card 1,020 1.64% 1 : 59.8 11.50%
131 65 K7654 high card 1,020 1.64% 1 : 59.8 9.86%
132 63 K7643 high card 1,020 1.64% 1 : 59.8 8.22%
133 62 K7642 high card 1,020 1.64% 1 : 59.8 6.57%
134 53 K7543 high card 1,020 1.64% 1 : 59.8 4.93%
135 52 K7542 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 K7432 high card 1,020 1.64% 1 : 59.8 1.64%