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 AKQ54 flush 4 0.01% 1 : 15515 100.00%
2 AJs AQJ54 flush 4 0.01% 1 : 15515 99.99%
3 ATs AQT54 flush 4 0.01% 1 : 15515 99.99%
4 A9s AQ954 flush 4 0.01% 1 : 15515 99.98%
5 A8s AQ854 flush 4 0.01% 1 : 15515 99.97%
6 A7s AQ754 flush 4 0.01% 1 : 15515 99.97%
7 A6s AQ654 flush 4 0.01% 1 : 15515 99.96%
8 A3s AQ543 flush 4 0.01% 1 : 15515 99.95%
9 A2s AQ542 flush 4 0.01% 1 : 15515 99.95%
10 KJs KQJ54 flush 4 0.01% 1 : 15515 99.94%
11 KTs KQT54 flush 4 0.01% 1 : 15515 99.94%
12 K9s KQ954 flush 4 0.01% 1 : 15515 99.93%
13 K8s KQ854 flush 4 0.01% 1 : 15515 99.92%
14 K7s KQ754 flush 4 0.01% 1 : 15515 99.92%
15 K6s KQ654 flush 4 0.01% 1 : 15515 99.91%
16 K3s KQ543 flush 4 0.01% 1 : 15515 99.90%
17 K2s KQ542 flush 4 0.01% 1 : 15515 99.90%
18 JTs QJT54 flush 4 0.01% 1 : 15515 99.89%
19 J9s QJ954 flush 4 0.01% 1 : 15515 99.88%
20 J8s QJ854 flush 4 0.01% 1 : 15515 99.88%
21 J7s QJ754 flush 4 0.01% 1 : 15515 99.87%
22 J6s QJ654 flush 4 0.01% 1 : 15515 99.86%
23 J3s QJ543 flush 4 0.01% 1 : 15515 99.86%
24 J2s QJ542 flush 4 0.01% 1 : 15515 99.85%
25 T9s QT954 flush 4 0.01% 1 : 15515 99.85%
26 T8s QT854 flush 4 0.01% 1 : 15515 99.84%
27 T7s QT754 flush 4 0.01% 1 : 15515 99.83%
28 T6s QT654 flush 4 0.01% 1 : 15515 99.83%
29 T3s QT543 flush 4 0.01% 1 : 15515 99.82%
30 T2s QT542 flush 4 0.01% 1 : 15515 99.81%
31 98s Q9854 flush 4 0.01% 1 : 15515 99.81%
32 97s Q9754 flush 4 0.01% 1 : 15515 99.80%
33 96s Q9654 flush 4 0.01% 1 : 15515 99.79%
34 93s Q9543 flush 4 0.01% 1 : 15515 99.79%
35 92s Q9542 flush 4 0.01% 1 : 15515 99.78%
36 87s Q8754 flush 4 0.01% 1 : 15515 99.77%
37 86s Q8654 flush 4 0.01% 1 : 15515 99.77%
38 83s Q8543 flush 4 0.01% 1 : 15515 99.76%
39 82s Q8542 flush 4 0.01% 1 : 15515 99.76%
40 76s Q7654 flush 4 0.01% 1 : 15515 99.75%
41 73s Q7543 flush 4 0.01% 1 : 15515 99.74%
42 72s Q7542 flush 4 0.01% 1 : 15515 99.74%
43 63s Q6543 flush 4 0.01% 1 : 15515 99.73%
44 62s Q6542 flush 4 0.01% 1 : 15515 99.72%
45 32s Q5432 flush 4 0.01% 1 : 15515 99.72%
 
46 QQ QQQ54 three of a kind 64 0.10% 1 : 969 99.71%
47 55 Q5554 three of a kind 64 0.10% 1 : 969 99.61%
48 44 Q5444 three of a kind 64 0.10% 1 : 969 99.50%
 
49 Q5 QQ554 two pairs 144 0.23% 1 : 430 99.40%
50 Q4 QQ544 two pairs 144 0.23% 1 : 430 99.17%
51 54 Q5544 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAQ54 one pair 384 0.62% 1 : 161 98.70%
53 KK KKQ54 one pair 384 0.62% 1 : 161 98.09%
54 AQ AQQ54 one pair 384 0.62% 1 : 161 97.47%
55 KQ KQQ54 one pair 384 0.62% 1 : 161 96.85%
56 QJ QQJ54 one pair 384 0.62% 1 : 161 96.23%
57 QT QQT54 one pair 384 0.62% 1 : 161 95.61%
58 Q9 QQ954 one pair 384 0.62% 1 : 161 94.99%
59 Q8 QQ854 one pair 384 0.62% 1 : 161 94.37%
60 Q7 QQ754 one pair 384 0.62% 1 : 161 93.75%
61 Q6 QQ654 one pair 384 0.62% 1 : 161 93.14%
62 Q3 QQ543 one pair 384 0.62% 1 : 161 92.52%
63 Q2 QQ542 one pair 384 0.62% 1 : 161 91.90%
64 JJ QJJ54 one pair 384 0.62% 1 : 161 91.28%
65 TT QTT54 one pair 384 0.62% 1 : 161 90.66%
66 99 Q9954 one pair 384 0.62% 1 : 161 90.04%
67 88 Q8854 one pair 384 0.62% 1 : 161 89.42%
68 77 Q7754 one pair 384 0.62% 1 : 161 88.81%
69 66 Q6654 one pair 384 0.62% 1 : 161 88.19%
70 A5 AQ554 one pair 384 0.62% 1 : 161 87.57%
71 K5 KQ554 one pair 384 0.62% 1 : 161 86.95%
72 J5 QJ554 one pair 384 0.62% 1 : 161 86.33%
73 T5 QT554 one pair 384 0.62% 1 : 161 85.71%
74 95 Q9554 one pair 384 0.62% 1 : 161 85.09%
75 85 Q8554 one pair 384 0.62% 1 : 161 84.47%
76 75 Q7554 one pair 384 0.62% 1 : 161 83.86%
77 65 Q6554 one pair 384 0.62% 1 : 161 83.24%
78 53 Q5543 one pair 384 0.62% 1 : 161 82.62%
79 52 Q5542 one pair 384 0.62% 1 : 161 82.00%
80 A4 AQ544 one pair 384 0.62% 1 : 161 81.38%
81 K4 KQ544 one pair 384 0.62% 1 : 161 80.76%
82 J4 QJ544 one pair 384 0.62% 1 : 161 80.14%
83 T4 QT544 one pair 384 0.62% 1 : 161 79.52%
84 94 Q9544 one pair 384 0.62% 1 : 161 78.91%
85 84 Q8544 one pair 384 0.62% 1 : 161 78.29%
86 74 Q7544 one pair 384 0.62% 1 : 161 77.67%
87 64 Q6544 one pair 384 0.62% 1 : 161 77.05%
88 43 Q5443 one pair 384 0.62% 1 : 161 76.43%
89 42 Q5442 one pair 384 0.62% 1 : 161 75.81%
90 33 Q5433 one pair 384 0.62% 1 : 161 75.19%
91 22 Q5422 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKQ54 high card 1,020 1.64% 1 : 59.8 73.96%
93 AJ AQJ54 high card 1,020 1.64% 1 : 59.8 72.31%
94 AT AQT54 high card 1,020 1.64% 1 : 59.8 70.67%
95 A9 AQ954 high card 1,020 1.64% 1 : 59.8 69.03%
96 A8 AQ854 high card 1,020 1.64% 1 : 59.8 67.38%
97 A7 AQ754 high card 1,020 1.64% 1 : 59.8 65.74%
98 A6 AQ654 high card 1,020 1.64% 1 : 59.8 64.10%
99 A3 AQ543 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AQ542 high card 1,020 1.64% 1 : 59.8 60.81%
101 KJ KQJ54 high card 1,020 1.64% 1 : 59.8 59.16%
102 KT KQT54 high card 1,020 1.64% 1 : 59.8 57.52%
103 K9 KQ954 high card 1,020 1.64% 1 : 59.8 55.88%
104 K8 KQ854 high card 1,020 1.64% 1 : 59.8 54.23%
105 K7 KQ754 high card 1,020 1.64% 1 : 59.8 52.59%
106 K6 KQ654 high card 1,020 1.64% 1 : 59.8 50.95%
107 K3 KQ543 high card 1,020 1.64% 1 : 59.8 49.30%
108 K2 KQ542 high card 1,020 1.64% 1 : 59.8 47.66%
109 JT QJT54 high card 1,020 1.64% 1 : 59.8 46.02%
110 J9 QJ954 high card 1,020 1.64% 1 : 59.8 44.37%
111 J8 QJ854 high card 1,020 1.64% 1 : 59.8 42.73%
112 J7 QJ754 high card 1,020 1.64% 1 : 59.8 41.09%
113 J6 QJ654 high card 1,020 1.64% 1 : 59.8 39.44%
114 J3 QJ543 high card 1,020 1.64% 1 : 59.8 37.80%
115 J2 QJ542 high card 1,020 1.64% 1 : 59.8 36.16%
116 T9 QT954 high card 1,020 1.64% 1 : 59.8 34.51%
117 T8 QT854 high card 1,020 1.64% 1 : 59.8 32.87%
118 T7 QT754 high card 1,020 1.64% 1 : 59.8 31.23%
119 T6 QT654 high card 1,020 1.64% 1 : 59.8 29.58%
120 T3 QT543 high card 1,020 1.64% 1 : 59.8 27.94%
121 T2 QT542 high card 1,020 1.64% 1 : 59.8 26.30%
122 98 Q9854 high card 1,020 1.64% 1 : 59.8 24.65%
123 97 Q9754 high card 1,020 1.64% 1 : 59.8 23.01%
124 96 Q9654 high card 1,020 1.64% 1 : 59.8 21.37%
125 93 Q9543 high card 1,020 1.64% 1 : 59.8 19.72%
126 92 Q9542 high card 1,020 1.64% 1 : 59.8 18.08%
127 87 Q8754 high card 1,020 1.64% 1 : 59.8 16.43%
128 86 Q8654 high card 1,020 1.64% 1 : 59.8 14.79%
129 83 Q8543 high card 1,020 1.64% 1 : 59.8 13.15%
130 82 Q8542 high card 1,020 1.64% 1 : 59.8 11.50%
131 76 Q7654 high card 1,020 1.64% 1 : 59.8 9.86%
132 73 Q7543 high card 1,020 1.64% 1 : 59.8 8.22%
133 72 Q7542 high card 1,020 1.64% 1 : 59.8 6.57%
134 63 Q6543 high card 1,020 1.64% 1 : 59.8 4.93%
135 62 Q6542 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 Q5432 high card 1,020 1.64% 1 : 59.8 1.64%