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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 AK732 flush 4 0.01% 1 : 15515 100.00%
2 AQs AQ732 flush 4 0.01% 1 : 15515 99.99%
3 AJs AJ732 flush 4 0.01% 1 : 15515 99.99%
4 ATs AT732 flush 4 0.01% 1 : 15515 99.98%
5 A9s A9732 flush 4 0.01% 1 : 15515 99.97%
6 A8s A8732 flush 4 0.01% 1 : 15515 99.97%
7 A6s A7632 flush 4 0.01% 1 : 15515 99.96%
8 A5s A7532 flush 4 0.01% 1 : 15515 99.95%
9 A4s A7432 flush 4 0.01% 1 : 15515 99.95%
10 KQs KQ732 flush 4 0.01% 1 : 15515 99.94%
11 KJs KJ732 flush 4 0.01% 1 : 15515 99.94%
12 KTs KT732 flush 4 0.01% 1 : 15515 99.93%
13 K9s K9732 flush 4 0.01% 1 : 15515 99.92%
14 K8s K8732 flush 4 0.01% 1 : 15515 99.92%
15 K6s K7632 flush 4 0.01% 1 : 15515 99.91%
16 K5s K7532 flush 4 0.01% 1 : 15515 99.90%
17 K4s K7432 flush 4 0.01% 1 : 15515 99.90%
18 QJs QJ732 flush 4 0.01% 1 : 15515 99.89%
19 QTs QT732 flush 4 0.01% 1 : 15515 99.88%
20 Q9s Q9732 flush 4 0.01% 1 : 15515 99.88%
21 Q8s Q8732 flush 4 0.01% 1 : 15515 99.87%
22 Q6s Q7632 flush 4 0.01% 1 : 15515 99.86%
23 Q5s Q7532 flush 4 0.01% 1 : 15515 99.86%
24 Q4s Q7432 flush 4 0.01% 1 : 15515 99.85%
25 JTs JT732 flush 4 0.01% 1 : 15515 99.85%
26 J9s J9732 flush 4 0.01% 1 : 15515 99.84%
27 J8s J8732 flush 4 0.01% 1 : 15515 99.83%
28 J6s J7632 flush 4 0.01% 1 : 15515 99.83%
29 J5s J7532 flush 4 0.01% 1 : 15515 99.82%
30 J4s J7432 flush 4 0.01% 1 : 15515 99.81%
31 T9s T9732 flush 4 0.01% 1 : 15515 99.81%
32 T8s T8732 flush 4 0.01% 1 : 15515 99.80%
33 T6s T7632 flush 4 0.01% 1 : 15515 99.79%
34 T5s T7532 flush 4 0.01% 1 : 15515 99.79%
35 T4s T7432 flush 4 0.01% 1 : 15515 99.78%
36 98s 98732 flush 4 0.01% 1 : 15515 99.77%
37 96s 97632 flush 4 0.01% 1 : 15515 99.77%
38 95s 97532 flush 4 0.01% 1 : 15515 99.76%
39 94s 97432 flush 4 0.01% 1 : 15515 99.76%
40 86s 87632 flush 4 0.01% 1 : 15515 99.75%
41 85s 87532 flush 4 0.01% 1 : 15515 99.74%
42 84s 87432 flush 4 0.01% 1 : 15515 99.74%
43 65s 76532 flush 4 0.01% 1 : 15515 99.73%
44 64s 76432 flush 4 0.01% 1 : 15515 99.72%
45 54s 75432 flush 4 0.01% 1 : 15515 99.72%
 
46 77 77732 three of a kind 64 0.10% 1 : 969 99.71%
47 33 73332 three of a kind 64 0.10% 1 : 969 99.61%
48 22 73222 three of a kind 64 0.10% 1 : 969 99.50%
 
49 73 77332 two pairs 144 0.23% 1 : 430 99.40%
50 72 77322 two pairs 144 0.23% 1 : 430 99.17%
51 32 73322 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AA732 one pair 384 0.62% 1 : 161 98.70%
53 KK KK732 one pair 384 0.62% 1 : 161 98.09%
54 QQ QQ732 one pair 384 0.62% 1 : 161 97.47%
55 JJ JJ732 one pair 384 0.62% 1 : 161 96.85%
56 TT TT732 one pair 384 0.62% 1 : 161 96.23%
57 99 99732 one pair 384 0.62% 1 : 161 95.61%
58 88 88732 one pair 384 0.62% 1 : 161 94.99%
59 A7 A7732 one pair 384 0.62% 1 : 161 94.37%
60 K7 K7732 one pair 384 0.62% 1 : 161 93.75%
61 Q7 Q7732 one pair 384 0.62% 1 : 161 93.14%
62 J7 J7732 one pair 384 0.62% 1 : 161 92.52%
63 T7 T7732 one pair 384 0.62% 1 : 161 91.90%
64 97 97732 one pair 384 0.62% 1 : 161 91.28%
65 87 87732 one pair 384 0.62% 1 : 161 90.66%
66 76 77632 one pair 384 0.62% 1 : 161 90.04%
67 75 77532 one pair 384 0.62% 1 : 161 89.42%
68 74 77432 one pair 384 0.62% 1 : 161 88.81%
69 66 76632 one pair 384 0.62% 1 : 161 88.19%
70 55 75532 one pair 384 0.62% 1 : 161 87.57%
71 44 74432 one pair 384 0.62% 1 : 161 86.95%
72 A3 A7332 one pair 384 0.62% 1 : 161 86.33%
73 K3 K7332 one pair 384 0.62% 1 : 161 85.71%
74 Q3 Q7332 one pair 384 0.62% 1 : 161 85.09%
75 J3 J7332 one pair 384 0.62% 1 : 161 84.47%
76 T3 T7332 one pair 384 0.62% 1 : 161 83.86%
77 93 97332 one pair 384 0.62% 1 : 161 83.24%
78 83 87332 one pair 384 0.62% 1 : 161 82.62%
79 63 76332 one pair 384 0.62% 1 : 161 82.00%
80 53 75332 one pair 384 0.62% 1 : 161 81.38%
81 43 74332 one pair 384 0.62% 1 : 161 80.76%
82 A2 A7322 one pair 384 0.62% 1 : 161 80.14%
83 K2 K7322 one pair 384 0.62% 1 : 161 79.52%
84 Q2 Q7322 one pair 384 0.62% 1 : 161 78.91%
85 J2 J7322 one pair 384 0.62% 1 : 161 78.29%
86 T2 T7322 one pair 384 0.62% 1 : 161 77.67%
87 92 97322 one pair 384 0.62% 1 : 161 77.05%
88 82 87322 one pair 384 0.62% 1 : 161 76.43%
89 62 76322 one pair 384 0.62% 1 : 161 75.81%
90 52 75322 one pair 384 0.62% 1 : 161 75.19%
91 42 74322 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AK732 high card 1,020 1.64% 1 : 59.8 73.96%
93 AQ AQ732 high card 1,020 1.64% 1 : 59.8 72.31%
94 AJ AJ732 high card 1,020 1.64% 1 : 59.8 70.67%
95 AT AT732 high card 1,020 1.64% 1 : 59.8 69.03%
96 A9 A9732 high card 1,020 1.64% 1 : 59.8 67.38%
97 A8 A8732 high card 1,020 1.64% 1 : 59.8 65.74%
98 A6 A7632 high card 1,020 1.64% 1 : 59.8 64.10%
99 A5 A7532 high card 1,020 1.64% 1 : 59.8 62.45%
100 A4 A7432 high card 1,020 1.64% 1 : 59.8 60.81%
101 KQ KQ732 high card 1,020 1.64% 1 : 59.8 59.16%
102 KJ KJ732 high card 1,020 1.64% 1 : 59.8 57.52%
103 KT KT732 high card 1,020 1.64% 1 : 59.8 55.88%
104 K9 K9732 high card 1,020 1.64% 1 : 59.8 54.23%
105 K8 K8732 high card 1,020 1.64% 1 : 59.8 52.59%
106 K6 K7632 high card 1,020 1.64% 1 : 59.8 50.95%
107 K5 K7532 high card 1,020 1.64% 1 : 59.8 49.30%
108 K4 K7432 high card 1,020 1.64% 1 : 59.8 47.66%
109 QJ QJ732 high card 1,020 1.64% 1 : 59.8 46.02%
110 QT QT732 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q9 Q9732 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q8 Q8732 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q6 Q7632 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q5 Q7532 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q4 Q7432 high card 1,020 1.64% 1 : 59.8 36.16%
116 JT JT732 high card 1,020 1.64% 1 : 59.8 34.51%
117 J9 J9732 high card 1,020 1.64% 1 : 59.8 32.87%
118 J8 J8732 high card 1,020 1.64% 1 : 59.8 31.23%
119 J6 J7632 high card 1,020 1.64% 1 : 59.8 29.58%
120 J5 J7532 high card 1,020 1.64% 1 : 59.8 27.94%
121 J4 J7432 high card 1,020 1.64% 1 : 59.8 26.30%
122 T9 T9732 high card 1,020 1.64% 1 : 59.8 24.65%
123 T8 T8732 high card 1,020 1.64% 1 : 59.8 23.01%
124 T6 T7632 high card 1,020 1.64% 1 : 59.8 21.37%
125 T5 T7532 high card 1,020 1.64% 1 : 59.8 19.72%
126 T4 T7432 high card 1,020 1.64% 1 : 59.8 18.08%
127 98 98732 high card 1,020 1.64% 1 : 59.8 16.43%
128 96 97632 high card 1,020 1.64% 1 : 59.8 14.79%
129 95 97532 high card 1,020 1.64% 1 : 59.8 13.15%
130 94 97432 high card 1,020 1.64% 1 : 59.8 11.50%
131 86 87632 high card 1,020 1.64% 1 : 59.8 9.86%
132 85 87532 high card 1,020 1.64% 1 : 59.8 8.22%
133 84 87432 high card 1,020 1.64% 1 : 59.8 6.57%
134 65 76532 high card 1,020 1.64% 1 : 59.8 4.93%
135 64 76432 high card 1,020 1.64% 1 : 59.8 3.29%
136 54 75432 high card 1,020 1.64% 1 : 59.8 1.64%