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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 KQs AKQ74 flush 4 0.01% 1 : 15515 100.00%
2 KJs AKJ74 flush 4 0.01% 1 : 15515 99.99%
3 KTs AKT74 flush 4 0.01% 1 : 15515 99.99%
4 K9s AK974 flush 4 0.01% 1 : 15515 99.98%
5 K8s AK874 flush 4 0.01% 1 : 15515 99.97%
6 K6s AK764 flush 4 0.01% 1 : 15515 99.97%
7 K5s AK754 flush 4 0.01% 1 : 15515 99.96%
8 K3s AK743 flush 4 0.01% 1 : 15515 99.95%
9 K2s AK742 flush 4 0.01% 1 : 15515 99.95%
10 QJs AQJ74 flush 4 0.01% 1 : 15515 99.94%
11 QTs AQT74 flush 4 0.01% 1 : 15515 99.94%
12 Q9s AQ974 flush 4 0.01% 1 : 15515 99.93%
13 Q8s AQ874 flush 4 0.01% 1 : 15515 99.92%
14 Q6s AQ764 flush 4 0.01% 1 : 15515 99.92%
15 Q5s AQ754 flush 4 0.01% 1 : 15515 99.91%
16 Q3s AQ743 flush 4 0.01% 1 : 15515 99.90%
17 Q2s AQ742 flush 4 0.01% 1 : 15515 99.90%
18 JTs AJT74 flush 4 0.01% 1 : 15515 99.89%
19 J9s AJ974 flush 4 0.01% 1 : 15515 99.88%
20 J8s AJ874 flush 4 0.01% 1 : 15515 99.88%
21 J6s AJ764 flush 4 0.01% 1 : 15515 99.87%
22 J5s AJ754 flush 4 0.01% 1 : 15515 99.86%
23 J3s AJ743 flush 4 0.01% 1 : 15515 99.86%
24 J2s AJ742 flush 4 0.01% 1 : 15515 99.85%
25 T9s AT974 flush 4 0.01% 1 : 15515 99.85%
26 T8s AT874 flush 4 0.01% 1 : 15515 99.84%
27 T6s AT764 flush 4 0.01% 1 : 15515 99.83%
28 T5s AT754 flush 4 0.01% 1 : 15515 99.83%
29 T3s AT743 flush 4 0.01% 1 : 15515 99.82%
30 T2s AT742 flush 4 0.01% 1 : 15515 99.81%
31 98s A9874 flush 4 0.01% 1 : 15515 99.81%
32 96s A9764 flush 4 0.01% 1 : 15515 99.80%
33 95s A9754 flush 4 0.01% 1 : 15515 99.79%
34 93s A9743 flush 4 0.01% 1 : 15515 99.79%
35 92s A9742 flush 4 0.01% 1 : 15515 99.78%
36 86s A8764 flush 4 0.01% 1 : 15515 99.77%
37 85s A8754 flush 4 0.01% 1 : 15515 99.77%
38 83s A8743 flush 4 0.01% 1 : 15515 99.76%
39 82s A8742 flush 4 0.01% 1 : 15515 99.76%
40 65s A7654 flush 4 0.01% 1 : 15515 99.75%
41 63s A7643 flush 4 0.01% 1 : 15515 99.74%
42 62s A7642 flush 4 0.01% 1 : 15515 99.74%
43 53s A7543 flush 4 0.01% 1 : 15515 99.73%
44 52s A7542 flush 4 0.01% 1 : 15515 99.72%
45 32s A7432 flush 4 0.01% 1 : 15515 99.72%
 
46 AA AAA74 three of a kind 64 0.10% 1 : 969 99.71%
47 77 A7774 three of a kind 64 0.10% 1 : 969 99.61%
48 44 A7444 three of a kind 64 0.10% 1 : 969 99.50%
 
49 A7 AA774 two pairs 144 0.23% 1 : 430 99.40%
50 A4 AA744 two pairs 144 0.23% 1 : 430 99.17%
51 74 A7744 two pairs 144 0.23% 1 : 430 98.94%
 
52 AK AAK74 one pair 384 0.62% 1 : 161 98.70%
53 AQ AAQ74 one pair 384 0.62% 1 : 161 98.09%
54 AJ AAJ74 one pair 384 0.62% 1 : 161 97.47%
55 AT AAT74 one pair 384 0.62% 1 : 161 96.85%
56 A9 AA974 one pair 384 0.62% 1 : 161 96.23%
57 A8 AA874 one pair 384 0.62% 1 : 161 95.61%
58 A6 AA764 one pair 384 0.62% 1 : 161 94.99%
59 A5 AA754 one pair 384 0.62% 1 : 161 94.37%
60 A3 AA743 one pair 384 0.62% 1 : 161 93.75%
61 A2 AA742 one pair 384 0.62% 1 : 161 93.14%
62 KK AKK74 one pair 384 0.62% 1 : 161 92.52%
63 QQ AQQ74 one pair 384 0.62% 1 : 161 91.90%
64 JJ AJJ74 one pair 384 0.62% 1 : 161 91.28%
65 TT ATT74 one pair 384 0.62% 1 : 161 90.66%
66 99 A9974 one pair 384 0.62% 1 : 161 90.04%
67 88 A8874 one pair 384 0.62% 1 : 161 89.42%
68 K7 AK774 one pair 384 0.62% 1 : 161 88.81%
69 Q7 AQ774 one pair 384 0.62% 1 : 161 88.19%
70 J7 AJ774 one pair 384 0.62% 1 : 161 87.57%
71 T7 AT774 one pair 384 0.62% 1 : 161 86.95%
72 97 A9774 one pair 384 0.62% 1 : 161 86.33%
73 87 A8774 one pair 384 0.62% 1 : 161 85.71%
74 76 A7764 one pair 384 0.62% 1 : 161 85.09%
75 75 A7754 one pair 384 0.62% 1 : 161 84.47%
76 73 A7743 one pair 384 0.62% 1 : 161 83.86%
77 72 A7742 one pair 384 0.62% 1 : 161 83.24%
78 66 A7664 one pair 384 0.62% 1 : 161 82.62%
79 55 A7554 one pair 384 0.62% 1 : 161 82.00%
80 K4 AK744 one pair 384 0.62% 1 : 161 81.38%
81 Q4 AQ744 one pair 384 0.62% 1 : 161 80.76%
82 J4 AJ744 one pair 384 0.62% 1 : 161 80.14%
83 T4 AT744 one pair 384 0.62% 1 : 161 79.52%
84 94 A9744 one pair 384 0.62% 1 : 161 78.91%
85 84 A8744 one pair 384 0.62% 1 : 161 78.29%
86 64 A7644 one pair 384 0.62% 1 : 161 77.67%
87 54 A7544 one pair 384 0.62% 1 : 161 77.05%
88 43 A7443 one pair 384 0.62% 1 : 161 76.43%
89 42 A7442 one pair 384 0.62% 1 : 161 75.81%
90 33 A7433 one pair 384 0.62% 1 : 161 75.19%
91 22 A7422 one pair 384 0.62% 1 : 161 74.57%
 
92 KQ AKQ74 high card 1,020 1.64% 1 : 59.8 73.96%
93 KJ AKJ74 high card 1,020 1.64% 1 : 59.8 72.31%
94 KT AKT74 high card 1,020 1.64% 1 : 59.8 70.67%
95 K9 AK974 high card 1,020 1.64% 1 : 59.8 69.03%
96 K8 AK874 high card 1,020 1.64% 1 : 59.8 67.38%
97 K6 AK764 high card 1,020 1.64% 1 : 59.8 65.74%
98 K5 AK754 high card 1,020 1.64% 1 : 59.8 64.10%
99 K3 AK743 high card 1,020 1.64% 1 : 59.8 62.45%
100 K2 AK742 high card 1,020 1.64% 1 : 59.8 60.81%
101 QJ AQJ74 high card 1,020 1.64% 1 : 59.8 59.16%
102 QT AQT74 high card 1,020 1.64% 1 : 59.8 57.52%
103 Q9 AQ974 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q8 AQ874 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q6 AQ764 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q5 AQ754 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q3 AQ743 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q2 AQ742 high card 1,020 1.64% 1 : 59.8 47.66%
109 JT AJT74 high card 1,020 1.64% 1 : 59.8 46.02%
110 J9 AJ974 high card 1,020 1.64% 1 : 59.8 44.37%
111 J8 AJ874 high card 1,020 1.64% 1 : 59.8 42.73%
112 J6 AJ764 high card 1,020 1.64% 1 : 59.8 41.09%
113 J5 AJ754 high card 1,020 1.64% 1 : 59.8 39.44%
114 J3 AJ743 high card 1,020 1.64% 1 : 59.8 37.80%
115 J2 AJ742 high card 1,020 1.64% 1 : 59.8 36.16%
116 T9 AT974 high card 1,020 1.64% 1 : 59.8 34.51%
117 T8 AT874 high card 1,020 1.64% 1 : 59.8 32.87%
118 T6 AT764 high card 1,020 1.64% 1 : 59.8 31.23%
119 T5 AT754 high card 1,020 1.64% 1 : 59.8 29.58%
120 T3 AT743 high card 1,020 1.64% 1 : 59.8 27.94%
121 T2 AT742 high card 1,020 1.64% 1 : 59.8 26.30%
122 98 A9874 high card 1,020 1.64% 1 : 59.8 24.65%
123 96 A9764 high card 1,020 1.64% 1 : 59.8 23.01%
124 95 A9754 high card 1,020 1.64% 1 : 59.8 21.37%
125 93 A9743 high card 1,020 1.64% 1 : 59.8 19.72%
126 92 A9742 high card 1,020 1.64% 1 : 59.8 18.08%
127 86 A8764 high card 1,020 1.64% 1 : 59.8 16.43%
128 85 A8754 high card 1,020 1.64% 1 : 59.8 14.79%
129 83 A8743 high card 1,020 1.64% 1 : 59.8 13.15%
130 82 A8742 high card 1,020 1.64% 1 : 59.8 11.50%
131 65 A7654 high card 1,020 1.64% 1 : 59.8 9.86%
132 63 A7643 high card 1,020 1.64% 1 : 59.8 8.22%
133 62 A7642 high card 1,020 1.64% 1 : 59.8 6.57%
134 53 A7543 high card 1,020 1.64% 1 : 59.8 4.93%
135 52 A7542 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 A7432 high card 1,020 1.64% 1 : 59.8 1.64%