non-flush example flush example



distribution of hand types
distinct combinations probability odds
royal flush 0 0 impossible impossible
straight flush 1 4 0.01% 1 : 15515
four of a kind 0 0 impossible impossible
full house 0 0 impossible impossible
flush 44 176 0.28% 1 : 352
straight 1 1,020 1.64% 1 : 59.8
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 44 44,880 72.31% 2.61 : 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 53s A5432 straight flush 4 0.01% 1 : 15515 100.00%
 
2 KQs AKQ42 flush 4 0.01% 1 : 15515 99.99%
3 KJs AKJ42 flush 4 0.01% 1 : 15515 99.99%
4 KTs AKT42 flush 4 0.01% 1 : 15515 99.98%
5 K9s AK942 flush 4 0.01% 1 : 15515 99.97%
6 K8s AK842 flush 4 0.01% 1 : 15515 99.97%
7 K7s AK742 flush 4 0.01% 1 : 15515 99.96%
8 K6s AK642 flush 4 0.01% 1 : 15515 99.95%
9 K5s AK542 flush 4 0.01% 1 : 15515 99.95%
10 K3s AK432 flush 4 0.01% 1 : 15515 99.94%
11 QJs AQJ42 flush 4 0.01% 1 : 15515 99.94%
12 QTs AQT42 flush 4 0.01% 1 : 15515 99.93%
13 Q9s AQ942 flush 4 0.01% 1 : 15515 99.92%
14 Q8s AQ842 flush 4 0.01% 1 : 15515 99.92%
15 Q7s AQ742 flush 4 0.01% 1 : 15515 99.91%
16 Q6s AQ642 flush 4 0.01% 1 : 15515 99.90%
17 Q5s AQ542 flush 4 0.01% 1 : 15515 99.90%
18 Q3s AQ432 flush 4 0.01% 1 : 15515 99.89%
19 JTs AJT42 flush 4 0.01% 1 : 15515 99.88%
20 J9s AJ942 flush 4 0.01% 1 : 15515 99.88%
21 J8s AJ842 flush 4 0.01% 1 : 15515 99.87%
22 J7s AJ742 flush 4 0.01% 1 : 15515 99.86%
23 J6s AJ642 flush 4 0.01% 1 : 15515 99.86%
24 J5s AJ542 flush 4 0.01% 1 : 15515 99.85%
25 J3s AJ432 flush 4 0.01% 1 : 15515 99.85%
26 T9s AT942 flush 4 0.01% 1 : 15515 99.84%
27 T8s AT842 flush 4 0.01% 1 : 15515 99.83%
28 T7s AT742 flush 4 0.01% 1 : 15515 99.83%
29 T6s AT642 flush 4 0.01% 1 : 15515 99.82%
30 T5s AT542 flush 4 0.01% 1 : 15515 99.81%
31 T3s AT432 flush 4 0.01% 1 : 15515 99.81%
32 98s A9842 flush 4 0.01% 1 : 15515 99.80%
33 97s A9742 flush 4 0.01% 1 : 15515 99.79%
34 96s A9642 flush 4 0.01% 1 : 15515 99.79%
35 95s A9542 flush 4 0.01% 1 : 15515 99.78%
36 93s A9432 flush 4 0.01% 1 : 15515 99.77%
37 87s A8742 flush 4 0.01% 1 : 15515 99.77%
38 86s A8642 flush 4 0.01% 1 : 15515 99.76%
39 85s A8542 flush 4 0.01% 1 : 15515 99.76%
40 83s A8432 flush 4 0.01% 1 : 15515 99.75%
41 76s A7642 flush 4 0.01% 1 : 15515 99.74%
42 75s A7542 flush 4 0.01% 1 : 15515 99.74%
43 73s A7432 flush 4 0.01% 1 : 15515 99.73%
44 65s A6542 flush 4 0.01% 1 : 15515 99.72%
45 63s A6432 flush 4 0.01% 1 : 15515 99.72%
 
46 53 A5432 straight 1,020 1.64% 1 : 59.8 99.71%
 
47 AA AAA42 three of a kind 64 0.10% 1 : 969 98.07%
48 44 A4442 three of a kind 64 0.10% 1 : 969 97.96%
49 22 A4222 three of a kind 64 0.10% 1 : 969 97.86%
 
50 A4 AA442 two pairs 144 0.23% 1 : 430 97.76%
51 A2 AA422 two pairs 144 0.23% 1 : 430 97.53%
52 42 A4422 two pairs 144 0.23% 1 : 430 97.29%
 
53 AK AAK42 one pair 384 0.62% 1 : 161 97.06%
54 AQ AAQ42 one pair 384 0.62% 1 : 161 96.44%
55 AJ AAJ42 one pair 384 0.62% 1 : 161 95.82%
56 AT AAT42 one pair 384 0.62% 1 : 161 95.20%
57 A9 AA942 one pair 384 0.62% 1 : 161 94.59%
58 A8 AA842 one pair 384 0.62% 1 : 161 93.97%
59 A7 AA742 one pair 384 0.62% 1 : 161 93.35%
60 A6 AA642 one pair 384 0.62% 1 : 161 92.73%
61 A5 AA542 one pair 384 0.62% 1 : 161 92.11%
62 A3 AA432 one pair 384 0.62% 1 : 161 91.49%
63 KK AKK42 one pair 384 0.62% 1 : 161 90.87%
64 QQ AQQ42 one pair 384 0.62% 1 : 161 90.26%
65 JJ AJJ42 one pair 384 0.62% 1 : 161 89.64%
66 TT ATT42 one pair 384 0.62% 1 : 161 89.02%
67 99 A9942 one pair 384 0.62% 1 : 161 88.40%
68 88 A8842 one pair 384 0.62% 1 : 161 87.78%
69 77 A7742 one pair 384 0.62% 1 : 161 87.16%
70 66 A6642 one pair 384 0.62% 1 : 161 86.54%
71 55 A5542 one pair 384 0.62% 1 : 161 85.92%
72 K4 AK442 one pair 384 0.62% 1 : 161 85.31%
73 Q4 AQ442 one pair 384 0.62% 1 : 161 84.69%
74 J4 AJ442 one pair 384 0.62% 1 : 161 84.07%
75 T4 AT442 one pair 384 0.62% 1 : 161 83.45%
76 94 A9442 one pair 384 0.62% 1 : 161 82.83%
77 84 A8442 one pair 384 0.62% 1 : 161 82.21%
78 74 A7442 one pair 384 0.62% 1 : 161 81.59%
79 64 A6442 one pair 384 0.62% 1 : 161 80.97%
80 54 A5442 one pair 384 0.62% 1 : 161 80.36%
81 43 A4432 one pair 384 0.62% 1 : 161 79.74%
82 33 A4332 one pair 384 0.62% 1 : 161 79.12%
83 K2 AK422 one pair 384 0.62% 1 : 161 78.50%
84 Q2 AQ422 one pair 384 0.62% 1 : 161 77.88%
85 J2 AJ422 one pair 384 0.62% 1 : 161 77.26%
86 T2 AT422 one pair 384 0.62% 1 : 161 76.64%
87 92 A9422 one pair 384 0.62% 1 : 161 76.02%
88 82 A8422 one pair 384 0.62% 1 : 161 75.41%
89 72 A7422 one pair 384 0.62% 1 : 161 74.79%
90 62 A6422 one pair 384 0.62% 1 : 161 74.17%
91 52 A5422 one pair 384 0.62% 1 : 161 73.55%
92 32 A4322 one pair 384 0.62% 1 : 161 72.93%
 
93 KQ AKQ42 high card 1,020 1.64% 1 : 59.8 72.31%
94 KJ AKJ42 high card 1,020 1.64% 1 : 59.8 70.67%
95 KT AKT42 high card 1,020 1.64% 1 : 59.8 69.03%
96 K9 AK942 high card 1,020 1.64% 1 : 59.8 67.38%
97 K8 AK842 high card 1,020 1.64% 1 : 59.8 65.74%
98 K7 AK742 high card 1,020 1.64% 1 : 59.8 64.10%
99 K6 AK642 high card 1,020 1.64% 1 : 59.8 62.45%
100 K5 AK542 high card 1,020 1.64% 1 : 59.8 60.81%
101 K3 AK432 high card 1,020 1.64% 1 : 59.8 59.16%
102 QJ AQJ42 high card 1,020 1.64% 1 : 59.8 57.52%
103 QT AQT42 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q9 AQ942 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q8 AQ842 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q7 AQ742 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q6 AQ642 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q5 AQ542 high card 1,020 1.64% 1 : 59.8 47.66%
109 Q3 AQ432 high card 1,020 1.64% 1 : 59.8 46.02%
110 JT AJT42 high card 1,020 1.64% 1 : 59.8 44.37%
111 J9 AJ942 high card 1,020 1.64% 1 : 59.8 42.73%
112 J8 AJ842 high card 1,020 1.64% 1 : 59.8 41.09%
113 J7 AJ742 high card 1,020 1.64% 1 : 59.8 39.44%
114 J6 AJ642 high card 1,020 1.64% 1 : 59.8 37.80%
115 J5 AJ542 high card 1,020 1.64% 1 : 59.8 36.16%
116 J3 AJ432 high card 1,020 1.64% 1 : 59.8 34.51%
117 T9 AT942 high card 1,020 1.64% 1 : 59.8 32.87%
118 T8 AT842 high card 1,020 1.64% 1 : 59.8 31.23%
119 T7 AT742 high card 1,020 1.64% 1 : 59.8 29.58%
120 T6 AT642 high card 1,020 1.64% 1 : 59.8 27.94%
121 T5 AT542 high card 1,020 1.64% 1 : 59.8 26.30%
122 T3 AT432 high card 1,020 1.64% 1 : 59.8 24.65%
123 98 A9842 high card 1,020 1.64% 1 : 59.8 23.01%
124 97 A9742 high card 1,020 1.64% 1 : 59.8 21.37%
125 96 A9642 high card 1,020 1.64% 1 : 59.8 19.72%
126 95 A9542 high card 1,020 1.64% 1 : 59.8 18.08%
127 93 A9432 high card 1,020 1.64% 1 : 59.8 16.43%
128 87 A8742 high card 1,020 1.64% 1 : 59.8 14.79%
129 86 A8642 high card 1,020 1.64% 1 : 59.8 13.15%
130 85 A8542 high card 1,020 1.64% 1 : 59.8 11.50%
131 83 A8432 high card 1,020 1.64% 1 : 59.8 9.86%
132 76 A7642 high card 1,020 1.64% 1 : 59.8 8.22%
133 75 A7542 high card 1,020 1.64% 1 : 59.8 6.57%
134 73 A7432 high card 1,020 1.64% 1 : 59.8 4.93%
135 65 A6542 high card 1,020 1.64% 1 : 59.8 3.29%
136 63 A6432 high card 1,020 1.64% 1 : 59.8 1.64%