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 QJs AKQJ7 flush 4 0.01% 1 : 15515 100.00%
2 QTs AKQT7 flush 4 0.01% 1 : 15515 99.99%
3 Q9s AKQ97 flush 4 0.01% 1 : 15515 99.99%
4 Q8s AKQ87 flush 4 0.01% 1 : 15515 99.98%
5 Q6s AKQ76 flush 4 0.01% 1 : 15515 99.97%
6 Q5s AKQ75 flush 4 0.01% 1 : 15515 99.97%
7 Q4s AKQ74 flush 4 0.01% 1 : 15515 99.96%
8 Q3s AKQ73 flush 4 0.01% 1 : 15515 99.95%
9 Q2s AKQ72 flush 4 0.01% 1 : 15515 99.95%
10 JTs AKJT7 flush 4 0.01% 1 : 15515 99.94%
11 J9s AKJ97 flush 4 0.01% 1 : 15515 99.94%
12 J8s AKJ87 flush 4 0.01% 1 : 15515 99.93%
13 J6s AKJ76 flush 4 0.01% 1 : 15515 99.92%
14 J5s AKJ75 flush 4 0.01% 1 : 15515 99.92%
15 J4s AKJ74 flush 4 0.01% 1 : 15515 99.91%
16 J3s AKJ73 flush 4 0.01% 1 : 15515 99.90%
17 J2s AKJ72 flush 4 0.01% 1 : 15515 99.90%
18 T9s AKT97 flush 4 0.01% 1 : 15515 99.89%
19 T8s AKT87 flush 4 0.01% 1 : 15515 99.88%
20 T6s AKT76 flush 4 0.01% 1 : 15515 99.88%
21 T5s AKT75 flush 4 0.01% 1 : 15515 99.87%
22 T4s AKT74 flush 4 0.01% 1 : 15515 99.86%
23 T3s AKT73 flush 4 0.01% 1 : 15515 99.86%
24 T2s AKT72 flush 4 0.01% 1 : 15515 99.85%
25 98s AK987 flush 4 0.01% 1 : 15515 99.85%
26 96s AK976 flush 4 0.01% 1 : 15515 99.84%
27 95s AK975 flush 4 0.01% 1 : 15515 99.83%
28 94s AK974 flush 4 0.01% 1 : 15515 99.83%
29 93s AK973 flush 4 0.01% 1 : 15515 99.82%
30 92s AK972 flush 4 0.01% 1 : 15515 99.81%
31 86s AK876 flush 4 0.01% 1 : 15515 99.81%
32 85s AK875 flush 4 0.01% 1 : 15515 99.80%
33 84s AK874 flush 4 0.01% 1 : 15515 99.79%
34 83s AK873 flush 4 0.01% 1 : 15515 99.79%
35 82s AK872 flush 4 0.01% 1 : 15515 99.78%
36 65s AK765 flush 4 0.01% 1 : 15515 99.77%
37 64s AK764 flush 4 0.01% 1 : 15515 99.77%
38 63s AK763 flush 4 0.01% 1 : 15515 99.76%
39 62s AK762 flush 4 0.01% 1 : 15515 99.76%
40 54s AK754 flush 4 0.01% 1 : 15515 99.75%
41 53s AK753 flush 4 0.01% 1 : 15515 99.74%
42 52s AK752 flush 4 0.01% 1 : 15515 99.74%
43 43s AK743 flush 4 0.01% 1 : 15515 99.73%
44 42s AK742 flush 4 0.01% 1 : 15515 99.72%
45 32s AK732 flush 4 0.01% 1 : 15515 99.72%
 
46 AA AAAK7 three of a kind 64 0.10% 1 : 969 99.71%
47 KK AKKK7 three of a kind 64 0.10% 1 : 969 99.61%
48 77 AK777 three of a kind 64 0.10% 1 : 969 99.50%
 
49 AK AAKK7 two pairs 144 0.23% 1 : 430 99.40%
50 A7 AAK77 two pairs 144 0.23% 1 : 430 99.17%
51 K7 AKK77 two pairs 144 0.23% 1 : 430 98.94%
 
52 AQ AAKQ7 one pair 384 0.62% 1 : 161 98.70%
53 AJ AAKJ7 one pair 384 0.62% 1 : 161 98.09%
54 AT AAKT7 one pair 384 0.62% 1 : 161 97.47%
55 A9 AAK97 one pair 384 0.62% 1 : 161 96.85%
56 A8 AAK87 one pair 384 0.62% 1 : 161 96.23%
57 A6 AAK76 one pair 384 0.62% 1 : 161 95.61%
58 A5 AAK75 one pair 384 0.62% 1 : 161 94.99%
59 A4 AAK74 one pair 384 0.62% 1 : 161 94.37%
60 A3 AAK73 one pair 384 0.62% 1 : 161 93.75%
61 A2 AAK72 one pair 384 0.62% 1 : 161 93.14%
62 KQ AKKQ7 one pair 384 0.62% 1 : 161 92.52%
63 KJ AKKJ7 one pair 384 0.62% 1 : 161 91.90%
64 KT AKKT7 one pair 384 0.62% 1 : 161 91.28%
65 K9 AKK97 one pair 384 0.62% 1 : 161 90.66%
66 K8 AKK87 one pair 384 0.62% 1 : 161 90.04%
67 K6 AKK76 one pair 384 0.62% 1 : 161 89.42%
68 K5 AKK75 one pair 384 0.62% 1 : 161 88.81%
69 K4 AKK74 one pair 384 0.62% 1 : 161 88.19%
70 K3 AKK73 one pair 384 0.62% 1 : 161 87.57%
71 K2 AKK72 one pair 384 0.62% 1 : 161 86.95%
72 QQ AKQQ7 one pair 384 0.62% 1 : 161 86.33%
73 JJ AKJJ7 one pair 384 0.62% 1 : 161 85.71%
74 TT AKTT7 one pair 384 0.62% 1 : 161 85.09%
75 99 AK997 one pair 384 0.62% 1 : 161 84.47%
76 88 AK887 one pair 384 0.62% 1 : 161 83.86%
77 Q7 AKQ77 one pair 384 0.62% 1 : 161 83.24%
78 J7 AKJ77 one pair 384 0.62% 1 : 161 82.62%
79 T7 AKT77 one pair 384 0.62% 1 : 161 82.00%
80 97 AK977 one pair 384 0.62% 1 : 161 81.38%
81 87 AK877 one pair 384 0.62% 1 : 161 80.76%
82 76 AK776 one pair 384 0.62% 1 : 161 80.14%
83 75 AK775 one pair 384 0.62% 1 : 161 79.52%
84 74 AK774 one pair 384 0.62% 1 : 161 78.91%
85 73 AK773 one pair 384 0.62% 1 : 161 78.29%
86 72 AK772 one pair 384 0.62% 1 : 161 77.67%
87 66 AK766 one pair 384 0.62% 1 : 161 77.05%
88 55 AK755 one pair 384 0.62% 1 : 161 76.43%
89 44 AK744 one pair 384 0.62% 1 : 161 75.81%
90 33 AK733 one pair 384 0.62% 1 : 161 75.19%
91 22 AK722 one pair 384 0.62% 1 : 161 74.57%
 
92 QJ AKQJ7 high card 1,020 1.64% 1 : 59.8 73.96%
93 QT AKQT7 high card 1,020 1.64% 1 : 59.8 72.31%
94 Q9 AKQ97 high card 1,020 1.64% 1 : 59.8 70.67%
95 Q8 AKQ87 high card 1,020 1.64% 1 : 59.8 69.03%
96 Q6 AKQ76 high card 1,020 1.64% 1 : 59.8 67.38%
97 Q5 AKQ75 high card 1,020 1.64% 1 : 59.8 65.74%
98 Q4 AKQ74 high card 1,020 1.64% 1 : 59.8 64.10%
99 Q3 AKQ73 high card 1,020 1.64% 1 : 59.8 62.45%
100 Q2 AKQ72 high card 1,020 1.64% 1 : 59.8 60.81%
101 JT AKJT7 high card 1,020 1.64% 1 : 59.8 59.16%
102 J9 AKJ97 high card 1,020 1.64% 1 : 59.8 57.52%
103 J8 AKJ87 high card 1,020 1.64% 1 : 59.8 55.88%
104 J6 AKJ76 high card 1,020 1.64% 1 : 59.8 54.23%
105 J5 AKJ75 high card 1,020 1.64% 1 : 59.8 52.59%
106 J4 AKJ74 high card 1,020 1.64% 1 : 59.8 50.95%
107 J3 AKJ73 high card 1,020 1.64% 1 : 59.8 49.30%
108 J2 AKJ72 high card 1,020 1.64% 1 : 59.8 47.66%
109 T9 AKT97 high card 1,020 1.64% 1 : 59.8 46.02%
110 T8 AKT87 high card 1,020 1.64% 1 : 59.8 44.37%
111 T6 AKT76 high card 1,020 1.64% 1 : 59.8 42.73%
112 T5 AKT75 high card 1,020 1.64% 1 : 59.8 41.09%
113 T4 AKT74 high card 1,020 1.64% 1 : 59.8 39.44%
114 T3 AKT73 high card 1,020 1.64% 1 : 59.8 37.80%
115 T2 AKT72 high card 1,020 1.64% 1 : 59.8 36.16%
116 98 AK987 high card 1,020 1.64% 1 : 59.8 34.51%
117 96 AK976 high card 1,020 1.64% 1 : 59.8 32.87%
118 95 AK975 high card 1,020 1.64% 1 : 59.8 31.23%
119 94 AK974 high card 1,020 1.64% 1 : 59.8 29.58%
120 93 AK973 high card 1,020 1.64% 1 : 59.8 27.94%
121 92 AK972 high card 1,020 1.64% 1 : 59.8 26.30%
122 86 AK876 high card 1,020 1.64% 1 : 59.8 24.65%
123 85 AK875 high card 1,020 1.64% 1 : 59.8 23.01%
124 84 AK874 high card 1,020 1.64% 1 : 59.8 21.37%
125 83 AK873 high card 1,020 1.64% 1 : 59.8 19.72%
126 82 AK872 high card 1,020 1.64% 1 : 59.8 18.08%
127 65 AK765 high card 1,020 1.64% 1 : 59.8 16.43%
128 64 AK764 high card 1,020 1.64% 1 : 59.8 14.79%
129 63 AK763 high card 1,020 1.64% 1 : 59.8 13.15%
130 62 AK762 high card 1,020 1.64% 1 : 59.8 11.50%
131 54 AK754 high card 1,020 1.64% 1 : 59.8 9.86%
132 53 AK753 high card 1,020 1.64% 1 : 59.8 8.22%
133 52 AK752 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 AK743 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 AK742 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 AK732 high card 1,020 1.64% 1 : 59.8 1.64%