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 AQs AKQ73 flush 4 0.01% 1 : 15515 100.00%
2 AJs AKJ73 flush 4 0.01% 1 : 15515 99.99%
3 ATs AKT73 flush 4 0.01% 1 : 15515 99.99%
4 A9s AK973 flush 4 0.01% 1 : 15515 99.98%
5 A8s AK873 flush 4 0.01% 1 : 15515 99.97%
6 A6s AK763 flush 4 0.01% 1 : 15515 99.97%
7 A5s AK753 flush 4 0.01% 1 : 15515 99.96%
8 A4s AK743 flush 4 0.01% 1 : 15515 99.95%
9 A2s AK732 flush 4 0.01% 1 : 15515 99.95%
10 QJs KQJ73 flush 4 0.01% 1 : 15515 99.94%
11 QTs KQT73 flush 4 0.01% 1 : 15515 99.94%
12 Q9s KQ973 flush 4 0.01% 1 : 15515 99.93%
13 Q8s KQ873 flush 4 0.01% 1 : 15515 99.92%
14 Q6s KQ763 flush 4 0.01% 1 : 15515 99.92%
15 Q5s KQ753 flush 4 0.01% 1 : 15515 99.91%
16 Q4s KQ743 flush 4 0.01% 1 : 15515 99.90%
17 Q2s KQ732 flush 4 0.01% 1 : 15515 99.90%
18 JTs KJT73 flush 4 0.01% 1 : 15515 99.89%
19 J9s KJ973 flush 4 0.01% 1 : 15515 99.88%
20 J8s KJ873 flush 4 0.01% 1 : 15515 99.88%
21 J6s KJ763 flush 4 0.01% 1 : 15515 99.87%
22 J5s KJ753 flush 4 0.01% 1 : 15515 99.86%
23 J4s KJ743 flush 4 0.01% 1 : 15515 99.86%
24 J2s KJ732 flush 4 0.01% 1 : 15515 99.85%
25 T9s KT973 flush 4 0.01% 1 : 15515 99.85%
26 T8s KT873 flush 4 0.01% 1 : 15515 99.84%
27 T6s KT763 flush 4 0.01% 1 : 15515 99.83%
28 T5s KT753 flush 4 0.01% 1 : 15515 99.83%
29 T4s KT743 flush 4 0.01% 1 : 15515 99.82%
30 T2s KT732 flush 4 0.01% 1 : 15515 99.81%
31 98s K9873 flush 4 0.01% 1 : 15515 99.81%
32 96s K9763 flush 4 0.01% 1 : 15515 99.80%
33 95s K9753 flush 4 0.01% 1 : 15515 99.79%
34 94s K9743 flush 4 0.01% 1 : 15515 99.79%
35 92s K9732 flush 4 0.01% 1 : 15515 99.78%
36 86s K8763 flush 4 0.01% 1 : 15515 99.77%
37 85s K8753 flush 4 0.01% 1 : 15515 99.77%
38 84s K8743 flush 4 0.01% 1 : 15515 99.76%
39 82s K8732 flush 4 0.01% 1 : 15515 99.76%
40 65s K7653 flush 4 0.01% 1 : 15515 99.75%
41 64s K7643 flush 4 0.01% 1 : 15515 99.74%
42 62s K7632 flush 4 0.01% 1 : 15515 99.74%
43 54s K7543 flush 4 0.01% 1 : 15515 99.73%
44 52s K7532 flush 4 0.01% 1 : 15515 99.72%
45 42s K7432 flush 4 0.01% 1 : 15515 99.72%
 
46 KK KKK73 three of a kind 64 0.10% 1 : 969 99.71%
47 77 K7773 three of a kind 64 0.10% 1 : 969 99.61%
48 33 K7333 three of a kind 64 0.10% 1 : 969 99.50%
 
49 K7 KK773 two pairs 144 0.23% 1 : 430 99.40%
50 K3 KK733 two pairs 144 0.23% 1 : 430 99.17%
51 73 K7733 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAK73 one pair 384 0.62% 1 : 161 98.70%
53 AK AKK73 one pair 384 0.62% 1 : 161 98.09%
54 KQ KKQ73 one pair 384 0.62% 1 : 161 97.47%
55 KJ KKJ73 one pair 384 0.62% 1 : 161 96.85%
56 KT KKT73 one pair 384 0.62% 1 : 161 96.23%
57 K9 KK973 one pair 384 0.62% 1 : 161 95.61%
58 K8 KK873 one pair 384 0.62% 1 : 161 94.99%
59 K6 KK763 one pair 384 0.62% 1 : 161 94.37%
60 K5 KK753 one pair 384 0.62% 1 : 161 93.75%
61 K4 KK743 one pair 384 0.62% 1 : 161 93.14%
62 K2 KK732 one pair 384 0.62% 1 : 161 92.52%
63 QQ KQQ73 one pair 384 0.62% 1 : 161 91.90%
64 JJ KJJ73 one pair 384 0.62% 1 : 161 91.28%
65 TT KTT73 one pair 384 0.62% 1 : 161 90.66%
66 99 K9973 one pair 384 0.62% 1 : 161 90.04%
67 88 K8873 one pair 384 0.62% 1 : 161 89.42%
68 A7 AK773 one pair 384 0.62% 1 : 161 88.81%
69 Q7 KQ773 one pair 384 0.62% 1 : 161 88.19%
70 J7 KJ773 one pair 384 0.62% 1 : 161 87.57%
71 T7 KT773 one pair 384 0.62% 1 : 161 86.95%
72 97 K9773 one pair 384 0.62% 1 : 161 86.33%
73 87 K8773 one pair 384 0.62% 1 : 161 85.71%
74 76 K7763 one pair 384 0.62% 1 : 161 85.09%
75 75 K7753 one pair 384 0.62% 1 : 161 84.47%
76 74 K7743 one pair 384 0.62% 1 : 161 83.86%
77 72 K7732 one pair 384 0.62% 1 : 161 83.24%
78 66 K7663 one pair 384 0.62% 1 : 161 82.62%
79 55 K7553 one pair 384 0.62% 1 : 161 82.00%
80 44 K7443 one pair 384 0.62% 1 : 161 81.38%
81 A3 AK733 one pair 384 0.62% 1 : 161 80.76%
82 Q3 KQ733 one pair 384 0.62% 1 : 161 80.14%
83 J3 KJ733 one pair 384 0.62% 1 : 161 79.52%
84 T3 KT733 one pair 384 0.62% 1 : 161 78.91%
85 93 K9733 one pair 384 0.62% 1 : 161 78.29%
86 83 K8733 one pair 384 0.62% 1 : 161 77.67%
87 63 K7633 one pair 384 0.62% 1 : 161 77.05%
88 53 K7533 one pair 384 0.62% 1 : 161 76.43%
89 43 K7433 one pair 384 0.62% 1 : 161 75.81%
90 32 K7332 one pair 384 0.62% 1 : 161 75.19%
91 22 K7322 one pair 384 0.62% 1 : 161 74.57%
 
92 AQ AKQ73 high card 1,020 1.64% 1 : 59.8 73.96%
93 AJ AKJ73 high card 1,020 1.64% 1 : 59.8 72.31%
94 AT AKT73 high card 1,020 1.64% 1 : 59.8 70.67%
95 A9 AK973 high card 1,020 1.64% 1 : 59.8 69.03%
96 A8 AK873 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 AK763 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 AK753 high card 1,020 1.64% 1 : 59.8 64.10%
99 A4 AK743 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AK732 high card 1,020 1.64% 1 : 59.8 60.81%
101 QJ KQJ73 high card 1,020 1.64% 1 : 59.8 59.16%
102 QT KQT73 high card 1,020 1.64% 1 : 59.8 57.52%
103 Q9 KQ973 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q8 KQ873 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q6 KQ763 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q5 KQ753 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q4 KQ743 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q2 KQ732 high card 1,020 1.64% 1 : 59.8 47.66%
109 JT KJT73 high card 1,020 1.64% 1 : 59.8 46.02%
110 J9 KJ973 high card 1,020 1.64% 1 : 59.8 44.37%
111 J8 KJ873 high card 1,020 1.64% 1 : 59.8 42.73%
112 J6 KJ763 high card 1,020 1.64% 1 : 59.8 41.09%
113 J5 KJ753 high card 1,020 1.64% 1 : 59.8 39.44%
114 J4 KJ743 high card 1,020 1.64% 1 : 59.8 37.80%
115 J2 KJ732 high card 1,020 1.64% 1 : 59.8 36.16%
116 T9 KT973 high card 1,020 1.64% 1 : 59.8 34.51%
117 T8 KT873 high card 1,020 1.64% 1 : 59.8 32.87%
118 T6 KT763 high card 1,020 1.64% 1 : 59.8 31.23%
119 T5 KT753 high card 1,020 1.64% 1 : 59.8 29.58%
120 T4 KT743 high card 1,020 1.64% 1 : 59.8 27.94%
121 T2 KT732 high card 1,020 1.64% 1 : 59.8 26.30%
122 98 K9873 high card 1,020 1.64% 1 : 59.8 24.65%
123 96 K9763 high card 1,020 1.64% 1 : 59.8 23.01%
124 95 K9753 high card 1,020 1.64% 1 : 59.8 21.37%
125 94 K9743 high card 1,020 1.64% 1 : 59.8 19.72%
126 92 K9732 high card 1,020 1.64% 1 : 59.8 18.08%
127 86 K8763 high card 1,020 1.64% 1 : 59.8 16.43%
128 85 K8753 high card 1,020 1.64% 1 : 59.8 14.79%
129 84 K8743 high card 1,020 1.64% 1 : 59.8 13.15%
130 82 K8732 high card 1,020 1.64% 1 : 59.8 11.50%
131 65 K7653 high card 1,020 1.64% 1 : 59.8 9.86%
132 64 K7643 high card 1,020 1.64% 1 : 59.8 8.22%
133 62 K7632 high card 1,020 1.64% 1 : 59.8 6.57%
134 54 K7543 high card 1,020 1.64% 1 : 59.8 4.93%
135 52 K7532 high card 1,020 1.64% 1 : 59.8 3.29%
136 42 K7432 high card 1,020 1.64% 1 : 59.8 1.64%