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 42s A5432 straight flush 4 0.01% 1 : 15515 100.00%
 
2 KQs AKQ53 flush 4 0.01% 1 : 15515 99.99%
3 KJs AKJ53 flush 4 0.01% 1 : 15515 99.99%
4 KTs AKT53 flush 4 0.01% 1 : 15515 99.98%
5 K9s AK953 flush 4 0.01% 1 : 15515 99.97%
6 K8s AK853 flush 4 0.01% 1 : 15515 99.97%
7 K7s AK753 flush 4 0.01% 1 : 15515 99.96%
8 K6s AK653 flush 4 0.01% 1 : 15515 99.95%
9 K4s AK543 flush 4 0.01% 1 : 15515 99.95%
10 K2s AK532 flush 4 0.01% 1 : 15515 99.94%
11 QJs AQJ53 flush 4 0.01% 1 : 15515 99.94%
12 QTs AQT53 flush 4 0.01% 1 : 15515 99.93%
13 Q9s AQ953 flush 4 0.01% 1 : 15515 99.92%
14 Q8s AQ853 flush 4 0.01% 1 : 15515 99.92%
15 Q7s AQ753 flush 4 0.01% 1 : 15515 99.91%
16 Q6s AQ653 flush 4 0.01% 1 : 15515 99.90%
17 Q4s AQ543 flush 4 0.01% 1 : 15515 99.90%
18 Q2s AQ532 flush 4 0.01% 1 : 15515 99.89%
19 JTs AJT53 flush 4 0.01% 1 : 15515 99.88%
20 J9s AJ953 flush 4 0.01% 1 : 15515 99.88%
21 J8s AJ853 flush 4 0.01% 1 : 15515 99.87%
22 J7s AJ753 flush 4 0.01% 1 : 15515 99.86%
23 J6s AJ653 flush 4 0.01% 1 : 15515 99.86%
24 J4s AJ543 flush 4 0.01% 1 : 15515 99.85%
25 J2s AJ532 flush 4 0.01% 1 : 15515 99.85%
26 T9s AT953 flush 4 0.01% 1 : 15515 99.84%
27 T8s AT853 flush 4 0.01% 1 : 15515 99.83%
28 T7s AT753 flush 4 0.01% 1 : 15515 99.83%
29 T6s AT653 flush 4 0.01% 1 : 15515 99.82%
30 T4s AT543 flush 4 0.01% 1 : 15515 99.81%
31 T2s AT532 flush 4 0.01% 1 : 15515 99.81%
32 98s A9853 flush 4 0.01% 1 : 15515 99.80%
33 97s A9753 flush 4 0.01% 1 : 15515 99.79%
34 96s A9653 flush 4 0.01% 1 : 15515 99.79%
35 94s A9543 flush 4 0.01% 1 : 15515 99.78%
36 92s A9532 flush 4 0.01% 1 : 15515 99.77%
37 87s A8753 flush 4 0.01% 1 : 15515 99.77%
38 86s A8653 flush 4 0.01% 1 : 15515 99.76%
39 84s A8543 flush 4 0.01% 1 : 15515 99.76%
40 82s A8532 flush 4 0.01% 1 : 15515 99.75%
41 76s A7653 flush 4 0.01% 1 : 15515 99.74%
42 74s A7543 flush 4 0.01% 1 : 15515 99.74%
43 72s A7532 flush 4 0.01% 1 : 15515 99.73%
44 64s A6543 flush 4 0.01% 1 : 15515 99.72%
45 62s A6532 flush 4 0.01% 1 : 15515 99.72%
 
46 42 A5432 straight 1,020 1.64% 1 : 59.8 99.71%
 
47 AA AAA53 three of a kind 64 0.10% 1 : 969 98.07%
48 55 A5553 three of a kind 64 0.10% 1 : 969 97.96%
49 33 A5333 three of a kind 64 0.10% 1 : 969 97.86%
 
50 A5 AA553 two pairs 144 0.23% 1 : 430 97.76%
51 A3 AA533 two pairs 144 0.23% 1 : 430 97.53%
52 53 A5533 two pairs 144 0.23% 1 : 430 97.29%
 
53 AK AAK53 one pair 384 0.62% 1 : 161 97.06%
54 AQ AAQ53 one pair 384 0.62% 1 : 161 96.44%
55 AJ AAJ53 one pair 384 0.62% 1 : 161 95.82%
56 AT AAT53 one pair 384 0.62% 1 : 161 95.20%
57 A9 AA953 one pair 384 0.62% 1 : 161 94.59%
58 A8 AA853 one pair 384 0.62% 1 : 161 93.97%
59 A7 AA753 one pair 384 0.62% 1 : 161 93.35%
60 A6 AA653 one pair 384 0.62% 1 : 161 92.73%
61 A4 AA543 one pair 384 0.62% 1 : 161 92.11%
62 A2 AA532 one pair 384 0.62% 1 : 161 91.49%
63 KK AKK53 one pair 384 0.62% 1 : 161 90.87%
64 QQ AQQ53 one pair 384 0.62% 1 : 161 90.26%
65 JJ AJJ53 one pair 384 0.62% 1 : 161 89.64%
66 TT ATT53 one pair 384 0.62% 1 : 161 89.02%
67 99 A9953 one pair 384 0.62% 1 : 161 88.40%
68 88 A8853 one pair 384 0.62% 1 : 161 87.78%
69 77 A7753 one pair 384 0.62% 1 : 161 87.16%
70 66 A6653 one pair 384 0.62% 1 : 161 86.54%
71 K5 AK553 one pair 384 0.62% 1 : 161 85.92%
72 Q5 AQ553 one pair 384 0.62% 1 : 161 85.31%
73 J5 AJ553 one pair 384 0.62% 1 : 161 84.69%
74 T5 AT553 one pair 384 0.62% 1 : 161 84.07%
75 95 A9553 one pair 384 0.62% 1 : 161 83.45%
76 85 A8553 one pair 384 0.62% 1 : 161 82.83%
77 75 A7553 one pair 384 0.62% 1 : 161 82.21%
78 65 A6553 one pair 384 0.62% 1 : 161 81.59%
79 54 A5543 one pair 384 0.62% 1 : 161 80.97%
80 52 A5532 one pair 384 0.62% 1 : 161 80.36%
81 44 A5443 one pair 384 0.62% 1 : 161 79.74%
82 K3 AK533 one pair 384 0.62% 1 : 161 79.12%
83 Q3 AQ533 one pair 384 0.62% 1 : 161 78.50%
84 J3 AJ533 one pair 384 0.62% 1 : 161 77.88%
85 T3 AT533 one pair 384 0.62% 1 : 161 77.26%
86 93 A9533 one pair 384 0.62% 1 : 161 76.64%
87 83 A8533 one pair 384 0.62% 1 : 161 76.02%
88 73 A7533 one pair 384 0.62% 1 : 161 75.41%
89 63 A6533 one pair 384 0.62% 1 : 161 74.79%
90 43 A5433 one pair 384 0.62% 1 : 161 74.17%
91 32 A5332 one pair 384 0.62% 1 : 161 73.55%
92 22 A5322 one pair 384 0.62% 1 : 161 72.93%
 
93 KQ AKQ53 high card 1,020 1.64% 1 : 59.8 72.31%
94 KJ AKJ53 high card 1,020 1.64% 1 : 59.8 70.67%
95 KT AKT53 high card 1,020 1.64% 1 : 59.8 69.03%
96 K9 AK953 high card 1,020 1.64% 1 : 59.8 67.38%
97 K8 AK853 high card 1,020 1.64% 1 : 59.8 65.74%
98 K7 AK753 high card 1,020 1.64% 1 : 59.8 64.10%
99 K6 AK653 high card 1,020 1.64% 1 : 59.8 62.45%
100 K4 AK543 high card 1,020 1.64% 1 : 59.8 60.81%
101 K2 AK532 high card 1,020 1.64% 1 : 59.8 59.16%
102 QJ AQJ53 high card 1,020 1.64% 1 : 59.8 57.52%
103 QT AQT53 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q9 AQ953 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q8 AQ853 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q7 AQ753 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q6 AQ653 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q4 AQ543 high card 1,020 1.64% 1 : 59.8 47.66%
109 Q2 AQ532 high card 1,020 1.64% 1 : 59.8 46.02%
110 JT AJT53 high card 1,020 1.64% 1 : 59.8 44.37%
111 J9 AJ953 high card 1,020 1.64% 1 : 59.8 42.73%
112 J8 AJ853 high card 1,020 1.64% 1 : 59.8 41.09%
113 J7 AJ753 high card 1,020 1.64% 1 : 59.8 39.44%
114 J6 AJ653 high card 1,020 1.64% 1 : 59.8 37.80%
115 J4 AJ543 high card 1,020 1.64% 1 : 59.8 36.16%
116 J2 AJ532 high card 1,020 1.64% 1 : 59.8 34.51%
117 T9 AT953 high card 1,020 1.64% 1 : 59.8 32.87%
118 T8 AT853 high card 1,020 1.64% 1 : 59.8 31.23%
119 T7 AT753 high card 1,020 1.64% 1 : 59.8 29.58%
120 T6 AT653 high card 1,020 1.64% 1 : 59.8 27.94%
121 T4 AT543 high card 1,020 1.64% 1 : 59.8 26.30%
122 T2 AT532 high card 1,020 1.64% 1 : 59.8 24.65%
123 98 A9853 high card 1,020 1.64% 1 : 59.8 23.01%
124 97 A9753 high card 1,020 1.64% 1 : 59.8 21.37%
125 96 A9653 high card 1,020 1.64% 1 : 59.8 19.72%
126 94 A9543 high card 1,020 1.64% 1 : 59.8 18.08%
127 92 A9532 high card 1,020 1.64% 1 : 59.8 16.43%
128 87 A8753 high card 1,020 1.64% 1 : 59.8 14.79%
129 86 A8653 high card 1,020 1.64% 1 : 59.8 13.15%
130 84 A8543 high card 1,020 1.64% 1 : 59.8 11.50%
131 82 A8532 high card 1,020 1.64% 1 : 59.8 9.86%
132 76 A7653 high card 1,020 1.64% 1 : 59.8 8.22%
133 74 A7543 high card 1,020 1.64% 1 : 59.8 6.57%
134 72 A7532 high card 1,020 1.64% 1 : 59.8 4.93%
135 64 A6543 high card 1,020 1.64% 1 : 59.8 3.29%
136 62 A6532 high card 1,020 1.64% 1 : 59.8 1.64%