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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 AKT54 flush 4 0.01% 1 : 15515 100.00%
2 AQs AQT54 flush 4 0.01% 1 : 15515 99.99%
3 AJs AJT54 flush 4 0.01% 1 : 15515 99.99%
4 A9s AT954 flush 4 0.01% 1 : 15515 99.98%
5 A8s AT854 flush 4 0.01% 1 : 15515 99.97%
6 A7s AT754 flush 4 0.01% 1 : 15515 99.97%
7 A6s AT654 flush 4 0.01% 1 : 15515 99.96%
8 A3s AT543 flush 4 0.01% 1 : 15515 99.95%
9 A2s AT542 flush 4 0.01% 1 : 15515 99.95%
10 KQs KQT54 flush 4 0.01% 1 : 15515 99.94%
11 KJs KJT54 flush 4 0.01% 1 : 15515 99.94%
12 K9s KT954 flush 4 0.01% 1 : 15515 99.93%
13 K8s KT854 flush 4 0.01% 1 : 15515 99.92%
14 K7s KT754 flush 4 0.01% 1 : 15515 99.92%
15 K6s KT654 flush 4 0.01% 1 : 15515 99.91%
16 K3s KT543 flush 4 0.01% 1 : 15515 99.90%
17 K2s KT542 flush 4 0.01% 1 : 15515 99.90%
18 QJs QJT54 flush 4 0.01% 1 : 15515 99.89%
19 Q9s QT954 flush 4 0.01% 1 : 15515 99.88%
20 Q8s QT854 flush 4 0.01% 1 : 15515 99.88%
21 Q7s QT754 flush 4 0.01% 1 : 15515 99.87%
22 Q6s QT654 flush 4 0.01% 1 : 15515 99.86%
23 Q3s QT543 flush 4 0.01% 1 : 15515 99.86%
24 Q2s QT542 flush 4 0.01% 1 : 15515 99.85%
25 J9s JT954 flush 4 0.01% 1 : 15515 99.85%
26 J8s JT854 flush 4 0.01% 1 : 15515 99.84%
27 J7s JT754 flush 4 0.01% 1 : 15515 99.83%
28 J6s JT654 flush 4 0.01% 1 : 15515 99.83%
29 J3s JT543 flush 4 0.01% 1 : 15515 99.82%
30 J2s JT542 flush 4 0.01% 1 : 15515 99.81%
31 98s T9854 flush 4 0.01% 1 : 15515 99.81%
32 97s T9754 flush 4 0.01% 1 : 15515 99.80%
33 96s T9654 flush 4 0.01% 1 : 15515 99.79%
34 93s T9543 flush 4 0.01% 1 : 15515 99.79%
35 92s T9542 flush 4 0.01% 1 : 15515 99.78%
36 87s T8754 flush 4 0.01% 1 : 15515 99.77%
37 86s T8654 flush 4 0.01% 1 : 15515 99.77%
38 83s T8543 flush 4 0.01% 1 : 15515 99.76%
39 82s T8542 flush 4 0.01% 1 : 15515 99.76%
40 76s T7654 flush 4 0.01% 1 : 15515 99.75%
41 73s T7543 flush 4 0.01% 1 : 15515 99.74%
42 72s T7542 flush 4 0.01% 1 : 15515 99.74%
43 63s T6543 flush 4 0.01% 1 : 15515 99.73%
44 62s T6542 flush 4 0.01% 1 : 15515 99.72%
45 32s T5432 flush 4 0.01% 1 : 15515 99.72%
 
46 TT TTT54 three of a kind 64 0.10% 1 : 969 99.71%
47 55 T5554 three of a kind 64 0.10% 1 : 969 99.61%
48 44 T5444 three of a kind 64 0.10% 1 : 969 99.50%
 
49 T5 TT554 two pairs 144 0.23% 1 : 430 99.40%
50 T4 TT544 two pairs 144 0.23% 1 : 430 99.17%
51 54 T5544 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAT54 one pair 384 0.62% 1 : 161 98.70%
53 KK KKT54 one pair 384 0.62% 1 : 161 98.09%
54 QQ QQT54 one pair 384 0.62% 1 : 161 97.47%
55 JJ JJT54 one pair 384 0.62% 1 : 161 96.85%
56 AT ATT54 one pair 384 0.62% 1 : 161 96.23%
57 KT KTT54 one pair 384 0.62% 1 : 161 95.61%
58 QT QTT54 one pair 384 0.62% 1 : 161 94.99%
59 JT JTT54 one pair 384 0.62% 1 : 161 94.37%
60 T9 TT954 one pair 384 0.62% 1 : 161 93.75%
61 T8 TT854 one pair 384 0.62% 1 : 161 93.14%
62 T7 TT754 one pair 384 0.62% 1 : 161 92.52%
63 T6 TT654 one pair 384 0.62% 1 : 161 91.90%
64 T3 TT543 one pair 384 0.62% 1 : 161 91.28%
65 T2 TT542 one pair 384 0.62% 1 : 161 90.66%
66 99 T9954 one pair 384 0.62% 1 : 161 90.04%
67 88 T8854 one pair 384 0.62% 1 : 161 89.42%
68 77 T7754 one pair 384 0.62% 1 : 161 88.81%
69 66 T6654 one pair 384 0.62% 1 : 161 88.19%
70 A5 AT554 one pair 384 0.62% 1 : 161 87.57%
71 K5 KT554 one pair 384 0.62% 1 : 161 86.95%
72 Q5 QT554 one pair 384 0.62% 1 : 161 86.33%
73 J5 JT554 one pair 384 0.62% 1 : 161 85.71%
74 95 T9554 one pair 384 0.62% 1 : 161 85.09%
75 85 T8554 one pair 384 0.62% 1 : 161 84.47%
76 75 T7554 one pair 384 0.62% 1 : 161 83.86%
77 65 T6554 one pair 384 0.62% 1 : 161 83.24%
78 53 T5543 one pair 384 0.62% 1 : 161 82.62%
79 52 T5542 one pair 384 0.62% 1 : 161 82.00%
80 A4 AT544 one pair 384 0.62% 1 : 161 81.38%
81 K4 KT544 one pair 384 0.62% 1 : 161 80.76%
82 Q4 QT544 one pair 384 0.62% 1 : 161 80.14%
83 J4 JT544 one pair 384 0.62% 1 : 161 79.52%
84 94 T9544 one pair 384 0.62% 1 : 161 78.91%
85 84 T8544 one pair 384 0.62% 1 : 161 78.29%
86 74 T7544 one pair 384 0.62% 1 : 161 77.67%
87 64 T6544 one pair 384 0.62% 1 : 161 77.05%
88 43 T5443 one pair 384 0.62% 1 : 161 76.43%
89 42 T5442 one pair 384 0.62% 1 : 161 75.81%
90 33 T5433 one pair 384 0.62% 1 : 161 75.19%
91 22 T5422 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKT54 high card 1,020 1.64% 1 : 59.8 73.96%
93 AQ AQT54 high card 1,020 1.64% 1 : 59.8 72.31%
94 AJ AJT54 high card 1,020 1.64% 1 : 59.8 70.67%
95 A9 AT954 high card 1,020 1.64% 1 : 59.8 69.03%
96 A8 AT854 high card 1,020 1.64% 1 : 59.8 67.38%
97 A7 AT754 high card 1,020 1.64% 1 : 59.8 65.74%
98 A6 AT654 high card 1,020 1.64% 1 : 59.8 64.10%
99 A3 AT543 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AT542 high card 1,020 1.64% 1 : 59.8 60.81%
101 KQ KQT54 high card 1,020 1.64% 1 : 59.8 59.16%
102 KJ KJT54 high card 1,020 1.64% 1 : 59.8 57.52%
103 K9 KT954 high card 1,020 1.64% 1 : 59.8 55.88%
104 K8 KT854 high card 1,020 1.64% 1 : 59.8 54.23%
105 K7 KT754 high card 1,020 1.64% 1 : 59.8 52.59%
106 K6 KT654 high card 1,020 1.64% 1 : 59.8 50.95%
107 K3 KT543 high card 1,020 1.64% 1 : 59.8 49.30%
108 K2 KT542 high card 1,020 1.64% 1 : 59.8 47.66%
109 QJ QJT54 high card 1,020 1.64% 1 : 59.8 46.02%
110 Q9 QT954 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q8 QT854 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q7 QT754 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q6 QT654 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q3 QT543 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q2 QT542 high card 1,020 1.64% 1 : 59.8 36.16%
116 J9 JT954 high card 1,020 1.64% 1 : 59.8 34.51%
117 J8 JT854 high card 1,020 1.64% 1 : 59.8 32.87%
118 J7 JT754 high card 1,020 1.64% 1 : 59.8 31.23%
119 J6 JT654 high card 1,020 1.64% 1 : 59.8 29.58%
120 J3 JT543 high card 1,020 1.64% 1 : 59.8 27.94%
121 J2 JT542 high card 1,020 1.64% 1 : 59.8 26.30%
122 98 T9854 high card 1,020 1.64% 1 : 59.8 24.65%
123 97 T9754 high card 1,020 1.64% 1 : 59.8 23.01%
124 96 T9654 high card 1,020 1.64% 1 : 59.8 21.37%
125 93 T9543 high card 1,020 1.64% 1 : 59.8 19.72%
126 92 T9542 high card 1,020 1.64% 1 : 59.8 18.08%
127 87 T8754 high card 1,020 1.64% 1 : 59.8 16.43%
128 86 T8654 high card 1,020 1.64% 1 : 59.8 14.79%
129 83 T8543 high card 1,020 1.64% 1 : 59.8 13.15%
130 82 T8542 high card 1,020 1.64% 1 : 59.8 11.50%
131 76 T7654 high card 1,020 1.64% 1 : 59.8 9.86%
132 73 T7543 high card 1,020 1.64% 1 : 59.8 8.22%
133 72 T7542 high card 1,020 1.64% 1 : 59.8 6.57%
134 63 T6543 high card 1,020 1.64% 1 : 59.8 4.93%
135 62 T6542 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 T5432 high card 1,020 1.64% 1 : 59.8 1.64%