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 AKQ32 flush 4 0.01% 1 : 15515 100.00%
2 AJs AQJ32 flush 4 0.01% 1 : 15515 99.99%
3 ATs AQT32 flush 4 0.01% 1 : 15515 99.99%
4 A9s AQ932 flush 4 0.01% 1 : 15515 99.98%
5 A8s AQ832 flush 4 0.01% 1 : 15515 99.97%
6 A7s AQ732 flush 4 0.01% 1 : 15515 99.97%
7 A6s AQ632 flush 4 0.01% 1 : 15515 99.96%
8 A5s AQ532 flush 4 0.01% 1 : 15515 99.95%
9 A4s AQ432 flush 4 0.01% 1 : 15515 99.95%
10 KJs KQJ32 flush 4 0.01% 1 : 15515 99.94%
11 KTs KQT32 flush 4 0.01% 1 : 15515 99.94%
12 K9s KQ932 flush 4 0.01% 1 : 15515 99.93%
13 K8s KQ832 flush 4 0.01% 1 : 15515 99.92%
14 K7s KQ732 flush 4 0.01% 1 : 15515 99.92%
15 K6s KQ632 flush 4 0.01% 1 : 15515 99.91%
16 K5s KQ532 flush 4 0.01% 1 : 15515 99.90%
17 K4s KQ432 flush 4 0.01% 1 : 15515 99.90%
18 JTs QJT32 flush 4 0.01% 1 : 15515 99.89%
19 J9s QJ932 flush 4 0.01% 1 : 15515 99.88%
20 J8s QJ832 flush 4 0.01% 1 : 15515 99.88%
21 J7s QJ732 flush 4 0.01% 1 : 15515 99.87%
22 J6s QJ632 flush 4 0.01% 1 : 15515 99.86%
23 J5s QJ532 flush 4 0.01% 1 : 15515 99.86%
24 J4s QJ432 flush 4 0.01% 1 : 15515 99.85%
25 T9s QT932 flush 4 0.01% 1 : 15515 99.85%
26 T8s QT832 flush 4 0.01% 1 : 15515 99.84%
27 T7s QT732 flush 4 0.01% 1 : 15515 99.83%
28 T6s QT632 flush 4 0.01% 1 : 15515 99.83%
29 T5s QT532 flush 4 0.01% 1 : 15515 99.82%
30 T4s QT432 flush 4 0.01% 1 : 15515 99.81%
31 98s Q9832 flush 4 0.01% 1 : 15515 99.81%
32 97s Q9732 flush 4 0.01% 1 : 15515 99.80%
33 96s Q9632 flush 4 0.01% 1 : 15515 99.79%
34 95s Q9532 flush 4 0.01% 1 : 15515 99.79%
35 94s Q9432 flush 4 0.01% 1 : 15515 99.78%
36 87s Q8732 flush 4 0.01% 1 : 15515 99.77%
37 86s Q8632 flush 4 0.01% 1 : 15515 99.77%
38 85s Q8532 flush 4 0.01% 1 : 15515 99.76%
39 84s Q8432 flush 4 0.01% 1 : 15515 99.76%
40 76s Q7632 flush 4 0.01% 1 : 15515 99.75%
41 75s Q7532 flush 4 0.01% 1 : 15515 99.74%
42 74s Q7432 flush 4 0.01% 1 : 15515 99.74%
43 65s Q6532 flush 4 0.01% 1 : 15515 99.73%
44 64s Q6432 flush 4 0.01% 1 : 15515 99.72%
45 54s Q5432 flush 4 0.01% 1 : 15515 99.72%
 
46 QQ QQQ32 three of a kind 64 0.10% 1 : 969 99.71%
47 33 Q3332 three of a kind 64 0.10% 1 : 969 99.61%
48 22 Q3222 three of a kind 64 0.10% 1 : 969 99.50%
 
49 Q3 QQ332 two pairs 144 0.23% 1 : 430 99.40%
50 Q2 QQ322 two pairs 144 0.23% 1 : 430 99.17%
51 32 Q3322 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAQ32 one pair 384 0.62% 1 : 161 98.70%
53 KK KKQ32 one pair 384 0.62% 1 : 161 98.09%
54 AQ AQQ32 one pair 384 0.62% 1 : 161 97.47%
55 KQ KQQ32 one pair 384 0.62% 1 : 161 96.85%
56 QJ QQJ32 one pair 384 0.62% 1 : 161 96.23%
57 QT QQT32 one pair 384 0.62% 1 : 161 95.61%
58 Q9 QQ932 one pair 384 0.62% 1 : 161 94.99%
59 Q8 QQ832 one pair 384 0.62% 1 : 161 94.37%
60 Q7 QQ732 one pair 384 0.62% 1 : 161 93.75%
61 Q6 QQ632 one pair 384 0.62% 1 : 161 93.14%
62 Q5 QQ532 one pair 384 0.62% 1 : 161 92.52%
63 Q4 QQ432 one pair 384 0.62% 1 : 161 91.90%
64 JJ QJJ32 one pair 384 0.62% 1 : 161 91.28%
65 TT QTT32 one pair 384 0.62% 1 : 161 90.66%
66 99 Q9932 one pair 384 0.62% 1 : 161 90.04%
67 88 Q8832 one pair 384 0.62% 1 : 161 89.42%
68 77 Q7732 one pair 384 0.62% 1 : 161 88.81%
69 66 Q6632 one pair 384 0.62% 1 : 161 88.19%
70 55 Q5532 one pair 384 0.62% 1 : 161 87.57%
71 44 Q4432 one pair 384 0.62% 1 : 161 86.95%
72 A3 AQ332 one pair 384 0.62% 1 : 161 86.33%
73 K3 KQ332 one pair 384 0.62% 1 : 161 85.71%
74 J3 QJ332 one pair 384 0.62% 1 : 161 85.09%
75 T3 QT332 one pair 384 0.62% 1 : 161 84.47%
76 93 Q9332 one pair 384 0.62% 1 : 161 83.86%
77 83 Q8332 one pair 384 0.62% 1 : 161 83.24%
78 73 Q7332 one pair 384 0.62% 1 : 161 82.62%
79 63 Q6332 one pair 384 0.62% 1 : 161 82.00%
80 53 Q5332 one pair 384 0.62% 1 : 161 81.38%
81 43 Q4332 one pair 384 0.62% 1 : 161 80.76%
82 A2 AQ322 one pair 384 0.62% 1 : 161 80.14%
83 K2 KQ322 one pair 384 0.62% 1 : 161 79.52%
84 J2 QJ322 one pair 384 0.62% 1 : 161 78.91%
85 T2 QT322 one pair 384 0.62% 1 : 161 78.29%
86 92 Q9322 one pair 384 0.62% 1 : 161 77.67%
87 82 Q8322 one pair 384 0.62% 1 : 161 77.05%
88 72 Q7322 one pair 384 0.62% 1 : 161 76.43%
89 62 Q6322 one pair 384 0.62% 1 : 161 75.81%
90 52 Q5322 one pair 384 0.62% 1 : 161 75.19%
91 42 Q4322 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKQ32 high card 1,020 1.64% 1 : 59.8 73.96%
93 AJ AQJ32 high card 1,020 1.64% 1 : 59.8 72.31%
94 AT AQT32 high card 1,020 1.64% 1 : 59.8 70.67%
95 A9 AQ932 high card 1,020 1.64% 1 : 59.8 69.03%
96 A8 AQ832 high card 1,020 1.64% 1 : 59.8 67.38%
97 A7 AQ732 high card 1,020 1.64% 1 : 59.8 65.74%
98 A6 AQ632 high card 1,020 1.64% 1 : 59.8 64.10%
99 A5 AQ532 high card 1,020 1.64% 1 : 59.8 62.45%
100 A4 AQ432 high card 1,020 1.64% 1 : 59.8 60.81%
101 KJ KQJ32 high card 1,020 1.64% 1 : 59.8 59.16%
102 KT KQT32 high card 1,020 1.64% 1 : 59.8 57.52%
103 K9 KQ932 high card 1,020 1.64% 1 : 59.8 55.88%
104 K8 KQ832 high card 1,020 1.64% 1 : 59.8 54.23%
105 K7 KQ732 high card 1,020 1.64% 1 : 59.8 52.59%
106 K6 KQ632 high card 1,020 1.64% 1 : 59.8 50.95%
107 K5 KQ532 high card 1,020 1.64% 1 : 59.8 49.30%
108 K4 KQ432 high card 1,020 1.64% 1 : 59.8 47.66%
109 JT QJT32 high card 1,020 1.64% 1 : 59.8 46.02%
110 J9 QJ932 high card 1,020 1.64% 1 : 59.8 44.37%
111 J8 QJ832 high card 1,020 1.64% 1 : 59.8 42.73%
112 J7 QJ732 high card 1,020 1.64% 1 : 59.8 41.09%
113 J6 QJ632 high card 1,020 1.64% 1 : 59.8 39.44%
114 J5 QJ532 high card 1,020 1.64% 1 : 59.8 37.80%
115 J4 QJ432 high card 1,020 1.64% 1 : 59.8 36.16%
116 T9 QT932 high card 1,020 1.64% 1 : 59.8 34.51%
117 T8 QT832 high card 1,020 1.64% 1 : 59.8 32.87%
118 T7 QT732 high card 1,020 1.64% 1 : 59.8 31.23%
119 T6 QT632 high card 1,020 1.64% 1 : 59.8 29.58%
120 T5 QT532 high card 1,020 1.64% 1 : 59.8 27.94%
121 T4 QT432 high card 1,020 1.64% 1 : 59.8 26.30%
122 98 Q9832 high card 1,020 1.64% 1 : 59.8 24.65%
123 97 Q9732 high card 1,020 1.64% 1 : 59.8 23.01%
124 96 Q9632 high card 1,020 1.64% 1 : 59.8 21.37%
125 95 Q9532 high card 1,020 1.64% 1 : 59.8 19.72%
126 94 Q9432 high card 1,020 1.64% 1 : 59.8 18.08%
127 87 Q8732 high card 1,020 1.64% 1 : 59.8 16.43%
128 86 Q8632 high card 1,020 1.64% 1 : 59.8 14.79%
129 85 Q8532 high card 1,020 1.64% 1 : 59.8 13.15%
130 84 Q8432 high card 1,020 1.64% 1 : 59.8 11.50%
131 76 Q7632 high card 1,020 1.64% 1 : 59.8 9.86%
132 75 Q7532 high card 1,020 1.64% 1 : 59.8 8.22%
133 74 Q7432 high card 1,020 1.64% 1 : 59.8 6.57%
134 65 Q6532 high card 1,020 1.64% 1 : 59.8 4.93%
135 64 Q6432 high card 1,020 1.64% 1 : 59.8 3.29%
136 54 Q5432 high card 1,020 1.64% 1 : 59.8 1.64%