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 KQs AKQ76 flush 4 0.01% 1 : 15515 100.00%
2 KJs AKJ76 flush 4 0.01% 1 : 15515 99.99%
3 KTs AKT76 flush 4 0.01% 1 : 15515 99.99%
4 K9s AK976 flush 4 0.01% 1 : 15515 99.98%
5 K8s AK876 flush 4 0.01% 1 : 15515 99.97%
6 K5s AK765 flush 4 0.01% 1 : 15515 99.97%
7 K4s AK764 flush 4 0.01% 1 : 15515 99.96%
8 K3s AK763 flush 4 0.01% 1 : 15515 99.95%
9 K2s AK762 flush 4 0.01% 1 : 15515 99.95%
10 QJs AQJ76 flush 4 0.01% 1 : 15515 99.94%
11 QTs AQT76 flush 4 0.01% 1 : 15515 99.94%
12 Q9s AQ976 flush 4 0.01% 1 : 15515 99.93%
13 Q8s AQ876 flush 4 0.01% 1 : 15515 99.92%
14 Q5s AQ765 flush 4 0.01% 1 : 15515 99.92%
15 Q4s AQ764 flush 4 0.01% 1 : 15515 99.91%
16 Q3s AQ763 flush 4 0.01% 1 : 15515 99.90%
17 Q2s AQ762 flush 4 0.01% 1 : 15515 99.90%
18 JTs AJT76 flush 4 0.01% 1 : 15515 99.89%
19 J9s AJ976 flush 4 0.01% 1 : 15515 99.88%
20 J8s AJ876 flush 4 0.01% 1 : 15515 99.88%
21 J5s AJ765 flush 4 0.01% 1 : 15515 99.87%
22 J4s AJ764 flush 4 0.01% 1 : 15515 99.86%
23 J3s AJ763 flush 4 0.01% 1 : 15515 99.86%
24 J2s AJ762 flush 4 0.01% 1 : 15515 99.85%
25 T9s AT976 flush 4 0.01% 1 : 15515 99.85%
26 T8s AT876 flush 4 0.01% 1 : 15515 99.84%
27 T5s AT765 flush 4 0.01% 1 : 15515 99.83%
28 T4s AT764 flush 4 0.01% 1 : 15515 99.83%
29 T3s AT763 flush 4 0.01% 1 : 15515 99.82%
30 T2s AT762 flush 4 0.01% 1 : 15515 99.81%
31 98s A9876 flush 4 0.01% 1 : 15515 99.81%
32 95s A9765 flush 4 0.01% 1 : 15515 99.80%
33 94s A9764 flush 4 0.01% 1 : 15515 99.79%
34 93s A9763 flush 4 0.01% 1 : 15515 99.79%
35 92s A9762 flush 4 0.01% 1 : 15515 99.78%
36 85s A8765 flush 4 0.01% 1 : 15515 99.77%
37 84s A8764 flush 4 0.01% 1 : 15515 99.77%
38 83s A8763 flush 4 0.01% 1 : 15515 99.76%
39 82s A8762 flush 4 0.01% 1 : 15515 99.76%
40 54s A7654 flush 4 0.01% 1 : 15515 99.75%
41 53s A7653 flush 4 0.01% 1 : 15515 99.74%
42 52s A7652 flush 4 0.01% 1 : 15515 99.74%
43 43s A7643 flush 4 0.01% 1 : 15515 99.73%
44 42s A7642 flush 4 0.01% 1 : 15515 99.72%
45 32s A7632 flush 4 0.01% 1 : 15515 99.72%
 
46 AA AAA76 three of a kind 64 0.10% 1 : 969 99.71%
47 77 A7776 three of a kind 64 0.10% 1 : 969 99.61%
48 66 A7666 three of a kind 64 0.10% 1 : 969 99.50%
 
49 A7 AA776 two pairs 144 0.23% 1 : 430 99.40%
50 A6 AA766 two pairs 144 0.23% 1 : 430 99.17%
51 76 A7766 two pairs 144 0.23% 1 : 430 98.94%
 
52 AK AAK76 one pair 384 0.62% 1 : 161 98.70%
53 AQ AAQ76 one pair 384 0.62% 1 : 161 98.09%
54 AJ AAJ76 one pair 384 0.62% 1 : 161 97.47%
55 AT AAT76 one pair 384 0.62% 1 : 161 96.85%
56 A9 AA976 one pair 384 0.62% 1 : 161 96.23%
57 A8 AA876 one pair 384 0.62% 1 : 161 95.61%
58 A5 AA765 one pair 384 0.62% 1 : 161 94.99%
59 A4 AA764 one pair 384 0.62% 1 : 161 94.37%
60 A3 AA763 one pair 384 0.62% 1 : 161 93.75%
61 A2 AA762 one pair 384 0.62% 1 : 161 93.14%
62 KK AKK76 one pair 384 0.62% 1 : 161 92.52%
63 QQ AQQ76 one pair 384 0.62% 1 : 161 91.90%
64 JJ AJJ76 one pair 384 0.62% 1 : 161 91.28%
65 TT ATT76 one pair 384 0.62% 1 : 161 90.66%
66 99 A9976 one pair 384 0.62% 1 : 161 90.04%
67 88 A8876 one pair 384 0.62% 1 : 161 89.42%
68 K7 AK776 one pair 384 0.62% 1 : 161 88.81%
69 Q7 AQ776 one pair 384 0.62% 1 : 161 88.19%
70 J7 AJ776 one pair 384 0.62% 1 : 161 87.57%
71 T7 AT776 one pair 384 0.62% 1 : 161 86.95%
72 97 A9776 one pair 384 0.62% 1 : 161 86.33%
73 87 A8776 one pair 384 0.62% 1 : 161 85.71%
74 75 A7765 one pair 384 0.62% 1 : 161 85.09%
75 74 A7764 one pair 384 0.62% 1 : 161 84.47%
76 73 A7763 one pair 384 0.62% 1 : 161 83.86%
77 72 A7762 one pair 384 0.62% 1 : 161 83.24%
78 K6 AK766 one pair 384 0.62% 1 : 161 82.62%
79 Q6 AQ766 one pair 384 0.62% 1 : 161 82.00%
80 J6 AJ766 one pair 384 0.62% 1 : 161 81.38%
81 T6 AT766 one pair 384 0.62% 1 : 161 80.76%
82 96 A9766 one pair 384 0.62% 1 : 161 80.14%
83 86 A8766 one pair 384 0.62% 1 : 161 79.52%
84 65 A7665 one pair 384 0.62% 1 : 161 78.91%
85 64 A7664 one pair 384 0.62% 1 : 161 78.29%
86 63 A7663 one pair 384 0.62% 1 : 161 77.67%
87 62 A7662 one pair 384 0.62% 1 : 161 77.05%
88 55 A7655 one pair 384 0.62% 1 : 161 76.43%
89 44 A7644 one pair 384 0.62% 1 : 161 75.81%
90 33 A7633 one pair 384 0.62% 1 : 161 75.19%
91 22 A7622 one pair 384 0.62% 1 : 161 74.57%
 
92 KQ AKQ76 high card 1,020 1.64% 1 : 59.8 73.96%
93 KJ AKJ76 high card 1,020 1.64% 1 : 59.8 72.31%
94 KT AKT76 high card 1,020 1.64% 1 : 59.8 70.67%
95 K9 AK976 high card 1,020 1.64% 1 : 59.8 69.03%
96 K8 AK876 high card 1,020 1.64% 1 : 59.8 67.38%
97 K5 AK765 high card 1,020 1.64% 1 : 59.8 65.74%
98 K4 AK764 high card 1,020 1.64% 1 : 59.8 64.10%
99 K3 AK763 high card 1,020 1.64% 1 : 59.8 62.45%
100 K2 AK762 high card 1,020 1.64% 1 : 59.8 60.81%
101 QJ AQJ76 high card 1,020 1.64% 1 : 59.8 59.16%
102 QT AQT76 high card 1,020 1.64% 1 : 59.8 57.52%
103 Q9 AQ976 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q8 AQ876 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q5 AQ765 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q4 AQ764 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q3 AQ763 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q2 AQ762 high card 1,020 1.64% 1 : 59.8 47.66%
109 JT AJT76 high card 1,020 1.64% 1 : 59.8 46.02%
110 J9 AJ976 high card 1,020 1.64% 1 : 59.8 44.37%
111 J8 AJ876 high card 1,020 1.64% 1 : 59.8 42.73%
112 J5 AJ765 high card 1,020 1.64% 1 : 59.8 41.09%
113 J4 AJ764 high card 1,020 1.64% 1 : 59.8 39.44%
114 J3 AJ763 high card 1,020 1.64% 1 : 59.8 37.80%
115 J2 AJ762 high card 1,020 1.64% 1 : 59.8 36.16%
116 T9 AT976 high card 1,020 1.64% 1 : 59.8 34.51%
117 T8 AT876 high card 1,020 1.64% 1 : 59.8 32.87%
118 T5 AT765 high card 1,020 1.64% 1 : 59.8 31.23%
119 T4 AT764 high card 1,020 1.64% 1 : 59.8 29.58%
120 T3 AT763 high card 1,020 1.64% 1 : 59.8 27.94%
121 T2 AT762 high card 1,020 1.64% 1 : 59.8 26.30%
122 98 A9876 high card 1,020 1.64% 1 : 59.8 24.65%
123 95 A9765 high card 1,020 1.64% 1 : 59.8 23.01%
124 94 A9764 high card 1,020 1.64% 1 : 59.8 21.37%
125 93 A9763 high card 1,020 1.64% 1 : 59.8 19.72%
126 92 A9762 high card 1,020 1.64% 1 : 59.8 18.08%
127 85 A8765 high card 1,020 1.64% 1 : 59.8 16.43%
128 84 A8764 high card 1,020 1.64% 1 : 59.8 14.79%
129 83 A8763 high card 1,020 1.64% 1 : 59.8 13.15%
130 82 A8762 high card 1,020 1.64% 1 : 59.8 11.50%
131 54 A7654 high card 1,020 1.64% 1 : 59.8 9.86%
132 53 A7653 high card 1,020 1.64% 1 : 59.8 8.22%
133 52 A7652 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 A7643 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 A7642 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 A7632 high card 1,020 1.64% 1 : 59.8 1.64%