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 AKQ73 flush 4 0.01% 1 : 15515 100.00%
2 AJs AQJ73 flush 4 0.01% 1 : 15515 99.99%
3 ATs AQT73 flush 4 0.01% 1 : 15515 99.99%
4 A9s AQ973 flush 4 0.01% 1 : 15515 99.98%
5 A8s AQ873 flush 4 0.01% 1 : 15515 99.97%
6 A6s AQ763 flush 4 0.01% 1 : 15515 99.97%
7 A5s AQ753 flush 4 0.01% 1 : 15515 99.96%
8 A4s AQ743 flush 4 0.01% 1 : 15515 99.95%
9 A2s AQ732 flush 4 0.01% 1 : 15515 99.95%
10 KJs KQJ73 flush 4 0.01% 1 : 15515 99.94%
11 KTs KQT73 flush 4 0.01% 1 : 15515 99.94%
12 K9s KQ973 flush 4 0.01% 1 : 15515 99.93%
13 K8s KQ873 flush 4 0.01% 1 : 15515 99.92%
14 K6s KQ763 flush 4 0.01% 1 : 15515 99.92%
15 K5s KQ753 flush 4 0.01% 1 : 15515 99.91%
16 K4s KQ743 flush 4 0.01% 1 : 15515 99.90%
17 K2s KQ732 flush 4 0.01% 1 : 15515 99.90%
18 JTs QJT73 flush 4 0.01% 1 : 15515 99.89%
19 J9s QJ973 flush 4 0.01% 1 : 15515 99.88%
20 J8s QJ873 flush 4 0.01% 1 : 15515 99.88%
21 J6s QJ763 flush 4 0.01% 1 : 15515 99.87%
22 J5s QJ753 flush 4 0.01% 1 : 15515 99.86%
23 J4s QJ743 flush 4 0.01% 1 : 15515 99.86%
24 J2s QJ732 flush 4 0.01% 1 : 15515 99.85%
25 T9s QT973 flush 4 0.01% 1 : 15515 99.85%
26 T8s QT873 flush 4 0.01% 1 : 15515 99.84%
27 T6s QT763 flush 4 0.01% 1 : 15515 99.83%
28 T5s QT753 flush 4 0.01% 1 : 15515 99.83%
29 T4s QT743 flush 4 0.01% 1 : 15515 99.82%
30 T2s QT732 flush 4 0.01% 1 : 15515 99.81%
31 98s Q9873 flush 4 0.01% 1 : 15515 99.81%
32 96s Q9763 flush 4 0.01% 1 : 15515 99.80%
33 95s Q9753 flush 4 0.01% 1 : 15515 99.79%
34 94s Q9743 flush 4 0.01% 1 : 15515 99.79%
35 92s Q9732 flush 4 0.01% 1 : 15515 99.78%
36 86s Q8763 flush 4 0.01% 1 : 15515 99.77%
37 85s Q8753 flush 4 0.01% 1 : 15515 99.77%
38 84s Q8743 flush 4 0.01% 1 : 15515 99.76%
39 82s Q8732 flush 4 0.01% 1 : 15515 99.76%
40 65s Q7653 flush 4 0.01% 1 : 15515 99.75%
41 64s Q7643 flush 4 0.01% 1 : 15515 99.74%
42 62s Q7632 flush 4 0.01% 1 : 15515 99.74%
43 54s Q7543 flush 4 0.01% 1 : 15515 99.73%
44 52s Q7532 flush 4 0.01% 1 : 15515 99.72%
45 42s Q7432 flush 4 0.01% 1 : 15515 99.72%
 
46 QQ QQQ73 three of a kind 64 0.10% 1 : 969 99.71%
47 77 Q7773 three of a kind 64 0.10% 1 : 969 99.61%
48 33 Q7333 three of a kind 64 0.10% 1 : 969 99.50%
 
49 Q7 QQ773 two pairs 144 0.23% 1 : 430 99.40%
50 Q3 QQ733 two pairs 144 0.23% 1 : 430 99.17%
51 73 Q7733 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAQ73 one pair 384 0.62% 1 : 161 98.70%
53 KK KKQ73 one pair 384 0.62% 1 : 161 98.09%
54 AQ AQQ73 one pair 384 0.62% 1 : 161 97.47%
55 KQ KQQ73 one pair 384 0.62% 1 : 161 96.85%
56 QJ QQJ73 one pair 384 0.62% 1 : 161 96.23%
57 QT QQT73 one pair 384 0.62% 1 : 161 95.61%
58 Q9 QQ973 one pair 384 0.62% 1 : 161 94.99%
59 Q8 QQ873 one pair 384 0.62% 1 : 161 94.37%
60 Q6 QQ763 one pair 384 0.62% 1 : 161 93.75%
61 Q5 QQ753 one pair 384 0.62% 1 : 161 93.14%
62 Q4 QQ743 one pair 384 0.62% 1 : 161 92.52%
63 Q2 QQ732 one pair 384 0.62% 1 : 161 91.90%
64 JJ QJJ73 one pair 384 0.62% 1 : 161 91.28%
65 TT QTT73 one pair 384 0.62% 1 : 161 90.66%
66 99 Q9973 one pair 384 0.62% 1 : 161 90.04%
67 88 Q8873 one pair 384 0.62% 1 : 161 89.42%
68 A7 AQ773 one pair 384 0.62% 1 : 161 88.81%
69 K7 KQ773 one pair 384 0.62% 1 : 161 88.19%
70 J7 QJ773 one pair 384 0.62% 1 : 161 87.57%
71 T7 QT773 one pair 384 0.62% 1 : 161 86.95%
72 97 Q9773 one pair 384 0.62% 1 : 161 86.33%
73 87 Q8773 one pair 384 0.62% 1 : 161 85.71%
74 76 Q7763 one pair 384 0.62% 1 : 161 85.09%
75 75 Q7753 one pair 384 0.62% 1 : 161 84.47%
76 74 Q7743 one pair 384 0.62% 1 : 161 83.86%
77 72 Q7732 one pair 384 0.62% 1 : 161 83.24%
78 66 Q7663 one pair 384 0.62% 1 : 161 82.62%
79 55 Q7553 one pair 384 0.62% 1 : 161 82.00%
80 44 Q7443 one pair 384 0.62% 1 : 161 81.38%
81 A3 AQ733 one pair 384 0.62% 1 : 161 80.76%
82 K3 KQ733 one pair 384 0.62% 1 : 161 80.14%
83 J3 QJ733 one pair 384 0.62% 1 : 161 79.52%
84 T3 QT733 one pair 384 0.62% 1 : 161 78.91%
85 93 Q9733 one pair 384 0.62% 1 : 161 78.29%
86 83 Q8733 one pair 384 0.62% 1 : 161 77.67%
87 63 Q7633 one pair 384 0.62% 1 : 161 77.05%
88 53 Q7533 one pair 384 0.62% 1 : 161 76.43%
89 43 Q7433 one pair 384 0.62% 1 : 161 75.81%
90 32 Q7332 one pair 384 0.62% 1 : 161 75.19%
91 22 Q7322 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKQ73 high card 1,020 1.64% 1 : 59.8 73.96%
93 AJ AQJ73 high card 1,020 1.64% 1 : 59.8 72.31%
94 AT AQT73 high card 1,020 1.64% 1 : 59.8 70.67%
95 A9 AQ973 high card 1,020 1.64% 1 : 59.8 69.03%
96 A8 AQ873 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 AQ763 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 AQ753 high card 1,020 1.64% 1 : 59.8 64.10%
99 A4 AQ743 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AQ732 high card 1,020 1.64% 1 : 59.8 60.81%
101 KJ KQJ73 high card 1,020 1.64% 1 : 59.8 59.16%
102 KT KQT73 high card 1,020 1.64% 1 : 59.8 57.52%
103 K9 KQ973 high card 1,020 1.64% 1 : 59.8 55.88%
104 K8 KQ873 high card 1,020 1.64% 1 : 59.8 54.23%
105 K6 KQ763 high card 1,020 1.64% 1 : 59.8 52.59%
106 K5 KQ753 high card 1,020 1.64% 1 : 59.8 50.95%
107 K4 KQ743 high card 1,020 1.64% 1 : 59.8 49.30%
108 K2 KQ732 high card 1,020 1.64% 1 : 59.8 47.66%
109 JT QJT73 high card 1,020 1.64% 1 : 59.8 46.02%
110 J9 QJ973 high card 1,020 1.64% 1 : 59.8 44.37%
111 J8 QJ873 high card 1,020 1.64% 1 : 59.8 42.73%
112 J6 QJ763 high card 1,020 1.64% 1 : 59.8 41.09%
113 J5 QJ753 high card 1,020 1.64% 1 : 59.8 39.44%
114 J4 QJ743 high card 1,020 1.64% 1 : 59.8 37.80%
115 J2 QJ732 high card 1,020 1.64% 1 : 59.8 36.16%
116 T9 QT973 high card 1,020 1.64% 1 : 59.8 34.51%
117 T8 QT873 high card 1,020 1.64% 1 : 59.8 32.87%
118 T6 QT763 high card 1,020 1.64% 1 : 59.8 31.23%
119 T5 QT753 high card 1,020 1.64% 1 : 59.8 29.58%
120 T4 QT743 high card 1,020 1.64% 1 : 59.8 27.94%
121 T2 QT732 high card 1,020 1.64% 1 : 59.8 26.30%
122 98 Q9873 high card 1,020 1.64% 1 : 59.8 24.65%
123 96 Q9763 high card 1,020 1.64% 1 : 59.8 23.01%
124 95 Q9753 high card 1,020 1.64% 1 : 59.8 21.37%
125 94 Q9743 high card 1,020 1.64% 1 : 59.8 19.72%
126 92 Q9732 high card 1,020 1.64% 1 : 59.8 18.08%
127 86 Q8763 high card 1,020 1.64% 1 : 59.8 16.43%
128 85 Q8753 high card 1,020 1.64% 1 : 59.8 14.79%
129 84 Q8743 high card 1,020 1.64% 1 : 59.8 13.15%
130 82 Q8732 high card 1,020 1.64% 1 : 59.8 11.50%
131 65 Q7653 high card 1,020 1.64% 1 : 59.8 9.86%
132 64 Q7643 high card 1,020 1.64% 1 : 59.8 8.22%
133 62 Q7632 high card 1,020 1.64% 1 : 59.8 6.57%
134 54 Q7543 high card 1,020 1.64% 1 : 59.8 4.93%
135 52 Q7532 high card 1,020 1.64% 1 : 59.8 3.29%
136 42 Q7432 high card 1,020 1.64% 1 : 59.8 1.64%