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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 AKJ54 flush 4 0.01% 1 : 15515 100.00%
2 AQs AQJ54 flush 4 0.01% 1 : 15515 99.99%
3 ATs AJT54 flush 4 0.01% 1 : 15515 99.99%
4 A9s AJ954 flush 4 0.01% 1 : 15515 99.98%
5 A8s AJ854 flush 4 0.01% 1 : 15515 99.97%
6 A7s AJ754 flush 4 0.01% 1 : 15515 99.97%
7 A6s AJ654 flush 4 0.01% 1 : 15515 99.96%
8 A3s AJ543 flush 4 0.01% 1 : 15515 99.95%
9 A2s AJ542 flush 4 0.01% 1 : 15515 99.95%
10 KQs KQJ54 flush 4 0.01% 1 : 15515 99.94%
11 KTs KJT54 flush 4 0.01% 1 : 15515 99.94%
12 K9s KJ954 flush 4 0.01% 1 : 15515 99.93%
13 K8s KJ854 flush 4 0.01% 1 : 15515 99.92%
14 K7s KJ754 flush 4 0.01% 1 : 15515 99.92%
15 K6s KJ654 flush 4 0.01% 1 : 15515 99.91%
16 K3s KJ543 flush 4 0.01% 1 : 15515 99.90%
17 K2s KJ542 flush 4 0.01% 1 : 15515 99.90%
18 QTs QJT54 flush 4 0.01% 1 : 15515 99.89%
19 Q9s QJ954 flush 4 0.01% 1 : 15515 99.88%
20 Q8s QJ854 flush 4 0.01% 1 : 15515 99.88%
21 Q7s QJ754 flush 4 0.01% 1 : 15515 99.87%
22 Q6s QJ654 flush 4 0.01% 1 : 15515 99.86%
23 Q3s QJ543 flush 4 0.01% 1 : 15515 99.86%
24 Q2s QJ542 flush 4 0.01% 1 : 15515 99.85%
25 T9s JT954 flush 4 0.01% 1 : 15515 99.85%
26 T8s JT854 flush 4 0.01% 1 : 15515 99.84%
27 T7s JT754 flush 4 0.01% 1 : 15515 99.83%
28 T6s JT654 flush 4 0.01% 1 : 15515 99.83%
29 T3s JT543 flush 4 0.01% 1 : 15515 99.82%
30 T2s JT542 flush 4 0.01% 1 : 15515 99.81%
31 98s J9854 flush 4 0.01% 1 : 15515 99.81%
32 97s J9754 flush 4 0.01% 1 : 15515 99.80%
33 96s J9654 flush 4 0.01% 1 : 15515 99.79%
34 93s J9543 flush 4 0.01% 1 : 15515 99.79%
35 92s J9542 flush 4 0.01% 1 : 15515 99.78%
36 87s J8754 flush 4 0.01% 1 : 15515 99.77%
37 86s J8654 flush 4 0.01% 1 : 15515 99.77%
38 83s J8543 flush 4 0.01% 1 : 15515 99.76%
39 82s J8542 flush 4 0.01% 1 : 15515 99.76%
40 76s J7654 flush 4 0.01% 1 : 15515 99.75%
41 73s J7543 flush 4 0.01% 1 : 15515 99.74%
42 72s J7542 flush 4 0.01% 1 : 15515 99.74%
43 63s J6543 flush 4 0.01% 1 : 15515 99.73%
44 62s J6542 flush 4 0.01% 1 : 15515 99.72%
45 32s J5432 flush 4 0.01% 1 : 15515 99.72%
 
46 JJ JJJ54 three of a kind 64 0.10% 1 : 969 99.71%
47 55 J5554 three of a kind 64 0.10% 1 : 969 99.61%
48 44 J5444 three of a kind 64 0.10% 1 : 969 99.50%
 
49 J5 JJ554 two pairs 144 0.23% 1 : 430 99.40%
50 J4 JJ544 two pairs 144 0.23% 1 : 430 99.17%
51 54 J5544 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAJ54 one pair 384 0.62% 1 : 161 98.70%
53 KK KKJ54 one pair 384 0.62% 1 : 161 98.09%
54 QQ QQJ54 one pair 384 0.62% 1 : 161 97.47%
55 AJ AJJ54 one pair 384 0.62% 1 : 161 96.85%
56 KJ KJJ54 one pair 384 0.62% 1 : 161 96.23%
57 QJ QJJ54 one pair 384 0.62% 1 : 161 95.61%
58 JT JJT54 one pair 384 0.62% 1 : 161 94.99%
59 J9 JJ954 one pair 384 0.62% 1 : 161 94.37%
60 J8 JJ854 one pair 384 0.62% 1 : 161 93.75%
61 J7 JJ754 one pair 384 0.62% 1 : 161 93.14%
62 J6 JJ654 one pair 384 0.62% 1 : 161 92.52%
63 J3 JJ543 one pair 384 0.62% 1 : 161 91.90%
64 J2 JJ542 one pair 384 0.62% 1 : 161 91.28%
65 TT JTT54 one pair 384 0.62% 1 : 161 90.66%
66 99 J9954 one pair 384 0.62% 1 : 161 90.04%
67 88 J8854 one pair 384 0.62% 1 : 161 89.42%
68 77 J7754 one pair 384 0.62% 1 : 161 88.81%
69 66 J6654 one pair 384 0.62% 1 : 161 88.19%
70 A5 AJ554 one pair 384 0.62% 1 : 161 87.57%
71 K5 KJ554 one pair 384 0.62% 1 : 161 86.95%
72 Q5 QJ554 one pair 384 0.62% 1 : 161 86.33%
73 T5 JT554 one pair 384 0.62% 1 : 161 85.71%
74 95 J9554 one pair 384 0.62% 1 : 161 85.09%
75 85 J8554 one pair 384 0.62% 1 : 161 84.47%
76 75 J7554 one pair 384 0.62% 1 : 161 83.86%
77 65 J6554 one pair 384 0.62% 1 : 161 83.24%
78 53 J5543 one pair 384 0.62% 1 : 161 82.62%
79 52 J5542 one pair 384 0.62% 1 : 161 82.00%
80 A4 AJ544 one pair 384 0.62% 1 : 161 81.38%
81 K4 KJ544 one pair 384 0.62% 1 : 161 80.76%
82 Q4 QJ544 one pair 384 0.62% 1 : 161 80.14%
83 T4 JT544 one pair 384 0.62% 1 : 161 79.52%
84 94 J9544 one pair 384 0.62% 1 : 161 78.91%
85 84 J8544 one pair 384 0.62% 1 : 161 78.29%
86 74 J7544 one pair 384 0.62% 1 : 161 77.67%
87 64 J6544 one pair 384 0.62% 1 : 161 77.05%
88 43 J5443 one pair 384 0.62% 1 : 161 76.43%
89 42 J5442 one pair 384 0.62% 1 : 161 75.81%
90 33 J5433 one pair 384 0.62% 1 : 161 75.19%
91 22 J5422 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKJ54 high card 1,020 1.64% 1 : 59.8 73.96%
93 AQ AQJ54 high card 1,020 1.64% 1 : 59.8 72.31%
94 AT AJT54 high card 1,020 1.64% 1 : 59.8 70.67%
95 A9 AJ954 high card 1,020 1.64% 1 : 59.8 69.03%
96 A8 AJ854 high card 1,020 1.64% 1 : 59.8 67.38%
97 A7 AJ754 high card 1,020 1.64% 1 : 59.8 65.74%
98 A6 AJ654 high card 1,020 1.64% 1 : 59.8 64.10%
99 A3 AJ543 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AJ542 high card 1,020 1.64% 1 : 59.8 60.81%
101 KQ KQJ54 high card 1,020 1.64% 1 : 59.8 59.16%
102 KT KJT54 high card 1,020 1.64% 1 : 59.8 57.52%
103 K9 KJ954 high card 1,020 1.64% 1 : 59.8 55.88%
104 K8 KJ854 high card 1,020 1.64% 1 : 59.8 54.23%
105 K7 KJ754 high card 1,020 1.64% 1 : 59.8 52.59%
106 K6 KJ654 high card 1,020 1.64% 1 : 59.8 50.95%
107 K3 KJ543 high card 1,020 1.64% 1 : 59.8 49.30%
108 K2 KJ542 high card 1,020 1.64% 1 : 59.8 47.66%
109 QT QJT54 high card 1,020 1.64% 1 : 59.8 46.02%
110 Q9 QJ954 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q8 QJ854 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q7 QJ754 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q6 QJ654 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q3 QJ543 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q2 QJ542 high card 1,020 1.64% 1 : 59.8 36.16%
116 T9 JT954 high card 1,020 1.64% 1 : 59.8 34.51%
117 T8 JT854 high card 1,020 1.64% 1 : 59.8 32.87%
118 T7 JT754 high card 1,020 1.64% 1 : 59.8 31.23%
119 T6 JT654 high card 1,020 1.64% 1 : 59.8 29.58%
120 T3 JT543 high card 1,020 1.64% 1 : 59.8 27.94%
121 T2 JT542 high card 1,020 1.64% 1 : 59.8 26.30%
122 98 J9854 high card 1,020 1.64% 1 : 59.8 24.65%
123 97 J9754 high card 1,020 1.64% 1 : 59.8 23.01%
124 96 J9654 high card 1,020 1.64% 1 : 59.8 21.37%
125 93 J9543 high card 1,020 1.64% 1 : 59.8 19.72%
126 92 J9542 high card 1,020 1.64% 1 : 59.8 18.08%
127 87 J8754 high card 1,020 1.64% 1 : 59.8 16.43%
128 86 J8654 high card 1,020 1.64% 1 : 59.8 14.79%
129 83 J8543 high card 1,020 1.64% 1 : 59.8 13.15%
130 82 J8542 high card 1,020 1.64% 1 : 59.8 11.50%
131 76 J7654 high card 1,020 1.64% 1 : 59.8 9.86%
132 73 J7543 high card 1,020 1.64% 1 : 59.8 8.22%
133 72 J7542 high card 1,020 1.64% 1 : 59.8 6.57%
134 63 J6543 high card 1,020 1.64% 1 : 59.8 4.93%
135 62 J6542 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 J5432 high card 1,020 1.64% 1 : 59.8 1.64%