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 AKQT7 flush 4 0.01% 1 : 15515 100.00%
2 AJs AKJT7 flush 4 0.01% 1 : 15515 99.99%
3 A9s AKT97 flush 4 0.01% 1 : 15515 99.99%
4 A8s AKT87 flush 4 0.01% 1 : 15515 99.98%
5 A6s AKT76 flush 4 0.01% 1 : 15515 99.97%
6 A5s AKT75 flush 4 0.01% 1 : 15515 99.97%
7 A4s AKT74 flush 4 0.01% 1 : 15515 99.96%
8 A3s AKT73 flush 4 0.01% 1 : 15515 99.95%
9 A2s AKT72 flush 4 0.01% 1 : 15515 99.95%
10 QJs KQJT7 flush 4 0.01% 1 : 15515 99.94%
11 Q9s KQT97 flush 4 0.01% 1 : 15515 99.94%
12 Q8s KQT87 flush 4 0.01% 1 : 15515 99.93%
13 Q6s KQT76 flush 4 0.01% 1 : 15515 99.92%
14 Q5s KQT75 flush 4 0.01% 1 : 15515 99.92%
15 Q4s KQT74 flush 4 0.01% 1 : 15515 99.91%
16 Q3s KQT73 flush 4 0.01% 1 : 15515 99.90%
17 Q2s KQT72 flush 4 0.01% 1 : 15515 99.90%
18 J9s KJT97 flush 4 0.01% 1 : 15515 99.89%
19 J8s KJT87 flush 4 0.01% 1 : 15515 99.88%
20 J6s KJT76 flush 4 0.01% 1 : 15515 99.88%
21 J5s KJT75 flush 4 0.01% 1 : 15515 99.87%
22 J4s KJT74 flush 4 0.01% 1 : 15515 99.86%
23 J3s KJT73 flush 4 0.01% 1 : 15515 99.86%
24 J2s KJT72 flush 4 0.01% 1 : 15515 99.85%
25 98s KT987 flush 4 0.01% 1 : 15515 99.85%
26 96s KT976 flush 4 0.01% 1 : 15515 99.84%
27 95s KT975 flush 4 0.01% 1 : 15515 99.83%
28 94s KT974 flush 4 0.01% 1 : 15515 99.83%
29 93s KT973 flush 4 0.01% 1 : 15515 99.82%
30 92s KT972 flush 4 0.01% 1 : 15515 99.81%
31 86s KT876 flush 4 0.01% 1 : 15515 99.81%
32 85s KT875 flush 4 0.01% 1 : 15515 99.80%
33 84s KT874 flush 4 0.01% 1 : 15515 99.79%
34 83s KT873 flush 4 0.01% 1 : 15515 99.79%
35 82s KT872 flush 4 0.01% 1 : 15515 99.78%
36 65s KT765 flush 4 0.01% 1 : 15515 99.77%
37 64s KT764 flush 4 0.01% 1 : 15515 99.77%
38 63s KT763 flush 4 0.01% 1 : 15515 99.76%
39 62s KT762 flush 4 0.01% 1 : 15515 99.76%
40 54s KT754 flush 4 0.01% 1 : 15515 99.75%
41 53s KT753 flush 4 0.01% 1 : 15515 99.74%
42 52s KT752 flush 4 0.01% 1 : 15515 99.74%
43 43s KT743 flush 4 0.01% 1 : 15515 99.73%
44 42s KT742 flush 4 0.01% 1 : 15515 99.72%
45 32s KT732 flush 4 0.01% 1 : 15515 99.72%
 
46 KK KKKT7 three of a kind 64 0.10% 1 : 969 99.71%
47 TT KTTT7 three of a kind 64 0.10% 1 : 969 99.61%
48 77 KT777 three of a kind 64 0.10% 1 : 969 99.50%
 
49 KT KKTT7 two pairs 144 0.23% 1 : 430 99.40%
50 K7 KKT77 two pairs 144 0.23% 1 : 430 99.17%
51 T7 KTT77 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAKT7 one pair 384 0.62% 1 : 161 98.70%
53 AK AKKT7 one pair 384 0.62% 1 : 161 98.09%
54 KQ KKQT7 one pair 384 0.62% 1 : 161 97.47%
55 KJ KKJT7 one pair 384 0.62% 1 : 161 96.85%
56 K9 KKT97 one pair 384 0.62% 1 : 161 96.23%
57 K8 KKT87 one pair 384 0.62% 1 : 161 95.61%
58 K6 KKT76 one pair 384 0.62% 1 : 161 94.99%
59 K5 KKT75 one pair 384 0.62% 1 : 161 94.37%
60 K4 KKT74 one pair 384 0.62% 1 : 161 93.75%
61 K3 KKT73 one pair 384 0.62% 1 : 161 93.14%
62 K2 KKT72 one pair 384 0.62% 1 : 161 92.52%
63 QQ KQQT7 one pair 384 0.62% 1 : 161 91.90%
64 JJ KJJT7 one pair 384 0.62% 1 : 161 91.28%
65 AT AKTT7 one pair 384 0.62% 1 : 161 90.66%
66 QT KQTT7 one pair 384 0.62% 1 : 161 90.04%
67 JT KJTT7 one pair 384 0.62% 1 : 161 89.42%
68 T9 KTT97 one pair 384 0.62% 1 : 161 88.81%
69 T8 KTT87 one pair 384 0.62% 1 : 161 88.19%
70 T6 KTT76 one pair 384 0.62% 1 : 161 87.57%
71 T5 KTT75 one pair 384 0.62% 1 : 161 86.95%
72 T4 KTT74 one pair 384 0.62% 1 : 161 86.33%
73 T3 KTT73 one pair 384 0.62% 1 : 161 85.71%
74 T2 KTT72 one pair 384 0.62% 1 : 161 85.09%
75 99 KT997 one pair 384 0.62% 1 : 161 84.47%
76 88 KT887 one pair 384 0.62% 1 : 161 83.86%
77 A7 AKT77 one pair 384 0.62% 1 : 161 83.24%
78 Q7 KQT77 one pair 384 0.62% 1 : 161 82.62%
79 J7 KJT77 one pair 384 0.62% 1 : 161 82.00%
80 97 KT977 one pair 384 0.62% 1 : 161 81.38%
81 87 KT877 one pair 384 0.62% 1 : 161 80.76%
82 76 KT776 one pair 384 0.62% 1 : 161 80.14%
83 75 KT775 one pair 384 0.62% 1 : 161 79.52%
84 74 KT774 one pair 384 0.62% 1 : 161 78.91%
85 73 KT773 one pair 384 0.62% 1 : 161 78.29%
86 72 KT772 one pair 384 0.62% 1 : 161 77.67%
87 66 KT766 one pair 384 0.62% 1 : 161 77.05%
88 55 KT755 one pair 384 0.62% 1 : 161 76.43%
89 44 KT744 one pair 384 0.62% 1 : 161 75.81%
90 33 KT733 one pair 384 0.62% 1 : 161 75.19%
91 22 KT722 one pair 384 0.62% 1 : 161 74.57%
 
92 AQ AKQT7 high card 1,020 1.64% 1 : 59.8 73.96%
93 AJ AKJT7 high card 1,020 1.64% 1 : 59.8 72.31%
94 A9 AKT97 high card 1,020 1.64% 1 : 59.8 70.67%
95 A8 AKT87 high card 1,020 1.64% 1 : 59.8 69.03%
96 A6 AKT76 high card 1,020 1.64% 1 : 59.8 67.38%
97 A5 AKT75 high card 1,020 1.64% 1 : 59.8 65.74%
98 A4 AKT74 high card 1,020 1.64% 1 : 59.8 64.10%
99 A3 AKT73 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AKT72 high card 1,020 1.64% 1 : 59.8 60.81%
101 QJ KQJT7 high card 1,020 1.64% 1 : 59.8 59.16%
102 Q9 KQT97 high card 1,020 1.64% 1 : 59.8 57.52%
103 Q8 KQT87 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q6 KQT76 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q5 KQT75 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q4 KQT74 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q3 KQT73 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q2 KQT72 high card 1,020 1.64% 1 : 59.8 47.66%
109 J9 KJT97 high card 1,020 1.64% 1 : 59.8 46.02%
110 J8 KJT87 high card 1,020 1.64% 1 : 59.8 44.37%
111 J6 KJT76 high card 1,020 1.64% 1 : 59.8 42.73%
112 J5 KJT75 high card 1,020 1.64% 1 : 59.8 41.09%
113 J4 KJT74 high card 1,020 1.64% 1 : 59.8 39.44%
114 J3 KJT73 high card 1,020 1.64% 1 : 59.8 37.80%
115 J2 KJT72 high card 1,020 1.64% 1 : 59.8 36.16%
116 98 KT987 high card 1,020 1.64% 1 : 59.8 34.51%
117 96 KT976 high card 1,020 1.64% 1 : 59.8 32.87%
118 95 KT975 high card 1,020 1.64% 1 : 59.8 31.23%
119 94 KT974 high card 1,020 1.64% 1 : 59.8 29.58%
120 93 KT973 high card 1,020 1.64% 1 : 59.8 27.94%
121 92 KT972 high card 1,020 1.64% 1 : 59.8 26.30%
122 86 KT876 high card 1,020 1.64% 1 : 59.8 24.65%
123 85 KT875 high card 1,020 1.64% 1 : 59.8 23.01%
124 84 KT874 high card 1,020 1.64% 1 : 59.8 21.37%
125 83 KT873 high card 1,020 1.64% 1 : 59.8 19.72%
126 82 KT872 high card 1,020 1.64% 1 : 59.8 18.08%
127 65 KT765 high card 1,020 1.64% 1 : 59.8 16.43%
128 64 KT764 high card 1,020 1.64% 1 : 59.8 14.79%
129 63 KT763 high card 1,020 1.64% 1 : 59.8 13.15%
130 62 KT762 high card 1,020 1.64% 1 : 59.8 11.50%
131 54 KT754 high card 1,020 1.64% 1 : 59.8 9.86%
132 53 KT753 high card 1,020 1.64% 1 : 59.8 8.22%
133 52 KT752 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 KT743 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 KT742 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 KT732 high card 1,020 1.64% 1 : 59.8 1.64%