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 AKQT7 flush 4 0.01% 1 : 15515 100.00%
2 AJs AQJT7 flush 4 0.01% 1 : 15515 99.99%
3 A9s AQT97 flush 4 0.01% 1 : 15515 99.99%
4 A8s AQT87 flush 4 0.01% 1 : 15515 99.98%
5 A6s AQT76 flush 4 0.01% 1 : 15515 99.97%
6 A5s AQT75 flush 4 0.01% 1 : 15515 99.97%
7 A4s AQT74 flush 4 0.01% 1 : 15515 99.96%
8 A3s AQT73 flush 4 0.01% 1 : 15515 99.95%
9 A2s AQT72 flush 4 0.01% 1 : 15515 99.95%
10 KJs KQJT7 flush 4 0.01% 1 : 15515 99.94%
11 K9s KQT97 flush 4 0.01% 1 : 15515 99.94%
12 K8s KQT87 flush 4 0.01% 1 : 15515 99.93%
13 K6s KQT76 flush 4 0.01% 1 : 15515 99.92%
14 K5s KQT75 flush 4 0.01% 1 : 15515 99.92%
15 K4s KQT74 flush 4 0.01% 1 : 15515 99.91%
16 K3s KQT73 flush 4 0.01% 1 : 15515 99.90%
17 K2s KQT72 flush 4 0.01% 1 : 15515 99.90%
18 J9s QJT97 flush 4 0.01% 1 : 15515 99.89%
19 J8s QJT87 flush 4 0.01% 1 : 15515 99.88%
20 J6s QJT76 flush 4 0.01% 1 : 15515 99.88%
21 J5s QJT75 flush 4 0.01% 1 : 15515 99.87%
22 J4s QJT74 flush 4 0.01% 1 : 15515 99.86%
23 J3s QJT73 flush 4 0.01% 1 : 15515 99.86%
24 J2s QJT72 flush 4 0.01% 1 : 15515 99.85%
25 98s QT987 flush 4 0.01% 1 : 15515 99.85%
26 96s QT976 flush 4 0.01% 1 : 15515 99.84%
27 95s QT975 flush 4 0.01% 1 : 15515 99.83%
28 94s QT974 flush 4 0.01% 1 : 15515 99.83%
29 93s QT973 flush 4 0.01% 1 : 15515 99.82%
30 92s QT972 flush 4 0.01% 1 : 15515 99.81%
31 86s QT876 flush 4 0.01% 1 : 15515 99.81%
32 85s QT875 flush 4 0.01% 1 : 15515 99.80%
33 84s QT874 flush 4 0.01% 1 : 15515 99.79%
34 83s QT873 flush 4 0.01% 1 : 15515 99.79%
35 82s QT872 flush 4 0.01% 1 : 15515 99.78%
36 65s QT765 flush 4 0.01% 1 : 15515 99.77%
37 64s QT764 flush 4 0.01% 1 : 15515 99.77%
38 63s QT763 flush 4 0.01% 1 : 15515 99.76%
39 62s QT762 flush 4 0.01% 1 : 15515 99.76%
40 54s QT754 flush 4 0.01% 1 : 15515 99.75%
41 53s QT753 flush 4 0.01% 1 : 15515 99.74%
42 52s QT752 flush 4 0.01% 1 : 15515 99.74%
43 43s QT743 flush 4 0.01% 1 : 15515 99.73%
44 42s QT742 flush 4 0.01% 1 : 15515 99.72%
45 32s QT732 flush 4 0.01% 1 : 15515 99.72%
 
46 QQ QQQT7 three of a kind 64 0.10% 1 : 969 99.71%
47 TT QTTT7 three of a kind 64 0.10% 1 : 969 99.61%
48 77 QT777 three of a kind 64 0.10% 1 : 969 99.50%
 
49 QT QQTT7 two pairs 144 0.23% 1 : 430 99.40%
50 Q7 QQT77 two pairs 144 0.23% 1 : 430 99.17%
51 T7 QTT77 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAQT7 one pair 384 0.62% 1 : 161 98.70%
53 KK KKQT7 one pair 384 0.62% 1 : 161 98.09%
54 AQ AQQT7 one pair 384 0.62% 1 : 161 97.47%
55 KQ KQQT7 one pair 384 0.62% 1 : 161 96.85%
56 QJ QQJT7 one pair 384 0.62% 1 : 161 96.23%
57 Q9 QQT97 one pair 384 0.62% 1 : 161 95.61%
58 Q8 QQT87 one pair 384 0.62% 1 : 161 94.99%
59 Q6 QQT76 one pair 384 0.62% 1 : 161 94.37%
60 Q5 QQT75 one pair 384 0.62% 1 : 161 93.75%
61 Q4 QQT74 one pair 384 0.62% 1 : 161 93.14%
62 Q3 QQT73 one pair 384 0.62% 1 : 161 92.52%
63 Q2 QQT72 one pair 384 0.62% 1 : 161 91.90%
64 JJ QJJT7 one pair 384 0.62% 1 : 161 91.28%
65 AT AQTT7 one pair 384 0.62% 1 : 161 90.66%
66 KT KQTT7 one pair 384 0.62% 1 : 161 90.04%
67 JT QJTT7 one pair 384 0.62% 1 : 161 89.42%
68 T9 QTT97 one pair 384 0.62% 1 : 161 88.81%
69 T8 QTT87 one pair 384 0.62% 1 : 161 88.19%
70 T6 QTT76 one pair 384 0.62% 1 : 161 87.57%
71 T5 QTT75 one pair 384 0.62% 1 : 161 86.95%
72 T4 QTT74 one pair 384 0.62% 1 : 161 86.33%
73 T3 QTT73 one pair 384 0.62% 1 : 161 85.71%
74 T2 QTT72 one pair 384 0.62% 1 : 161 85.09%
75 99 QT997 one pair 384 0.62% 1 : 161 84.47%
76 88 QT887 one pair 384 0.62% 1 : 161 83.86%
77 A7 AQT77 one pair 384 0.62% 1 : 161 83.24%
78 K7 KQT77 one pair 384 0.62% 1 : 161 82.62%
79 J7 QJT77 one pair 384 0.62% 1 : 161 82.00%
80 97 QT977 one pair 384 0.62% 1 : 161 81.38%
81 87 QT877 one pair 384 0.62% 1 : 161 80.76%
82 76 QT776 one pair 384 0.62% 1 : 161 80.14%
83 75 QT775 one pair 384 0.62% 1 : 161 79.52%
84 74 QT774 one pair 384 0.62% 1 : 161 78.91%
85 73 QT773 one pair 384 0.62% 1 : 161 78.29%
86 72 QT772 one pair 384 0.62% 1 : 161 77.67%
87 66 QT766 one pair 384 0.62% 1 : 161 77.05%
88 55 QT755 one pair 384 0.62% 1 : 161 76.43%
89 44 QT744 one pair 384 0.62% 1 : 161 75.81%
90 33 QT733 one pair 384 0.62% 1 : 161 75.19%
91 22 QT722 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKQT7 high card 1,020 1.64% 1 : 59.8 73.96%
93 AJ AQJT7 high card 1,020 1.64% 1 : 59.8 72.31%
94 A9 AQT97 high card 1,020 1.64% 1 : 59.8 70.67%
95 A8 AQT87 high card 1,020 1.64% 1 : 59.8 69.03%
96 A6 AQT76 high card 1,020 1.64% 1 : 59.8 67.38%
97 A5 AQT75 high card 1,020 1.64% 1 : 59.8 65.74%
98 A4 AQT74 high card 1,020 1.64% 1 : 59.8 64.10%
99 A3 AQT73 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AQT72 high card 1,020 1.64% 1 : 59.8 60.81%
101 KJ KQJT7 high card 1,020 1.64% 1 : 59.8 59.16%
102 K9 KQT97 high card 1,020 1.64% 1 : 59.8 57.52%
103 K8 KQT87 high card 1,020 1.64% 1 : 59.8 55.88%
104 K6 KQT76 high card 1,020 1.64% 1 : 59.8 54.23%
105 K5 KQT75 high card 1,020 1.64% 1 : 59.8 52.59%
106 K4 KQT74 high card 1,020 1.64% 1 : 59.8 50.95%
107 K3 KQT73 high card 1,020 1.64% 1 : 59.8 49.30%
108 K2 KQT72 high card 1,020 1.64% 1 : 59.8 47.66%
109 J9 QJT97 high card 1,020 1.64% 1 : 59.8 46.02%
110 J8 QJT87 high card 1,020 1.64% 1 : 59.8 44.37%
111 J6 QJT76 high card 1,020 1.64% 1 : 59.8 42.73%
112 J5 QJT75 high card 1,020 1.64% 1 : 59.8 41.09%
113 J4 QJT74 high card 1,020 1.64% 1 : 59.8 39.44%
114 J3 QJT73 high card 1,020 1.64% 1 : 59.8 37.80%
115 J2 QJT72 high card 1,020 1.64% 1 : 59.8 36.16%
116 98 QT987 high card 1,020 1.64% 1 : 59.8 34.51%
117 96 QT976 high card 1,020 1.64% 1 : 59.8 32.87%
118 95 QT975 high card 1,020 1.64% 1 : 59.8 31.23%
119 94 QT974 high card 1,020 1.64% 1 : 59.8 29.58%
120 93 QT973 high card 1,020 1.64% 1 : 59.8 27.94%
121 92 QT972 high card 1,020 1.64% 1 : 59.8 26.30%
122 86 QT876 high card 1,020 1.64% 1 : 59.8 24.65%
123 85 QT875 high card 1,020 1.64% 1 : 59.8 23.01%
124 84 QT874 high card 1,020 1.64% 1 : 59.8 21.37%
125 83 QT873 high card 1,020 1.64% 1 : 59.8 19.72%
126 82 QT872 high card 1,020 1.64% 1 : 59.8 18.08%
127 65 QT765 high card 1,020 1.64% 1 : 59.8 16.43%
128 64 QT764 high card 1,020 1.64% 1 : 59.8 14.79%
129 63 QT763 high card 1,020 1.64% 1 : 59.8 13.15%
130 62 QT762 high card 1,020 1.64% 1 : 59.8 11.50%
131 54 QT754 high card 1,020 1.64% 1 : 59.8 9.86%
132 53 QT753 high card 1,020 1.64% 1 : 59.8 8.22%
133 52 QT752 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 QT743 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 QT742 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 QT732 high card 1,020 1.64% 1 : 59.8 1.64%