non-flush example flush example



distribution of hand types
distinct combinations probability odds
royal flush 0 0 impossible impossible
straight flush 2 8 0.01% 1 : 7757
four of a kind 0 0 impossible impossible
full house 0 0 impossible impossible
flush 43 172 0.28% 1 : 360
straight 2 2,040 3.29% 1 : 29.4
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 43 43,860 70.67% 2.41 : 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 J8s JT987 straight flush 4 0.01% 1 : 15515 100.00%
2 86s T9876 straight flush 4 0.01% 1 : 15515 99.99%
 
3 AKs AKT97 flush 4 0.01% 1 : 15515 99.99%
4 AQs AQT97 flush 4 0.01% 1 : 15515 99.98%
5 AJs AJT97 flush 4 0.01% 1 : 15515 99.97%
6 A8s AT987 flush 4 0.01% 1 : 15515 99.97%
7 A6s AT976 flush 4 0.01% 1 : 15515 99.96%
8 A5s AT975 flush 4 0.01% 1 : 15515 99.95%
9 A4s AT974 flush 4 0.01% 1 : 15515 99.95%
10 A3s AT973 flush 4 0.01% 1 : 15515 99.94%
11 A2s AT972 flush 4 0.01% 1 : 15515 99.94%
12 KQs KQT97 flush 4 0.01% 1 : 15515 99.93%
13 KJs KJT97 flush 4 0.01% 1 : 15515 99.92%
14 K8s KT987 flush 4 0.01% 1 : 15515 99.92%
15 K6s KT976 flush 4 0.01% 1 : 15515 99.91%
16 K5s KT975 flush 4 0.01% 1 : 15515 99.90%
17 K4s KT974 flush 4 0.01% 1 : 15515 99.90%
18 K3s KT973 flush 4 0.01% 1 : 15515 99.89%
19 K2s KT972 flush 4 0.01% 1 : 15515 99.88%
20 QJs QJT97 flush 4 0.01% 1 : 15515 99.88%
21 Q8s QT987 flush 4 0.01% 1 : 15515 99.87%
22 Q6s QT976 flush 4 0.01% 1 : 15515 99.86%
23 Q5s QT975 flush 4 0.01% 1 : 15515 99.86%
24 Q4s QT974 flush 4 0.01% 1 : 15515 99.85%
25 Q3s QT973 flush 4 0.01% 1 : 15515 99.85%
26 Q2s QT972 flush 4 0.01% 1 : 15515 99.84%
27 J6s JT976 flush 4 0.01% 1 : 15515 99.83%
28 J5s JT975 flush 4 0.01% 1 : 15515 99.83%
29 J4s JT974 flush 4 0.01% 1 : 15515 99.82%
30 J3s JT973 flush 4 0.01% 1 : 15515 99.81%
31 J2s JT972 flush 4 0.01% 1 : 15515 99.81%
32 85s T9875 flush 4 0.01% 1 : 15515 99.80%
33 84s T9874 flush 4 0.01% 1 : 15515 99.79%
34 83s T9873 flush 4 0.01% 1 : 15515 99.79%
35 82s T9872 flush 4 0.01% 1 : 15515 99.78%
36 65s T9765 flush 4 0.01% 1 : 15515 99.77%
37 64s T9764 flush 4 0.01% 1 : 15515 99.77%
38 63s T9763 flush 4 0.01% 1 : 15515 99.76%
39 62s T9762 flush 4 0.01% 1 : 15515 99.76%
40 54s T9754 flush 4 0.01% 1 : 15515 99.75%
41 53s T9753 flush 4 0.01% 1 : 15515 99.74%
42 52s T9752 flush 4 0.01% 1 : 15515 99.74%
43 43s T9743 flush 4 0.01% 1 : 15515 99.73%
44 42s T9742 flush 4 0.01% 1 : 15515 99.72%
45 32s T9732 flush 4 0.01% 1 : 15515 99.72%
 
46 J8 JT987 straight 1,020 1.64% 1 : 59.8 99.71%
47 86 T9876 straight 1,020 1.64% 1 : 59.8 98.07%
 
48 TT TTT97 three of a kind 64 0.10% 1 : 969 96.42%
49 99 T9997 three of a kind 64 0.10% 1 : 969 96.32%
50 77 T9777 three of a kind 64 0.10% 1 : 969 96.22%
 
51 T9 TT997 two pairs 144 0.23% 1 : 430 96.11%
52 T7 TT977 two pairs 144 0.23% 1 : 430 95.88%
53 97 T9977 two pairs 144 0.23% 1 : 430 95.65%
 
54 AA AAT97 one pair 384 0.62% 1 : 161 95.42%
55 KK KKT97 one pair 384 0.62% 1 : 161 94.80%
56 QQ QQT97 one pair 384 0.62% 1 : 161 94.18%
57 JJ JJT97 one pair 384 0.62% 1 : 161 93.56%
58 AT ATT97 one pair 384 0.62% 1 : 161 92.94%
59 KT KTT97 one pair 384 0.62% 1 : 161 92.32%
60 QT QTT97 one pair 384 0.62% 1 : 161 91.71%
61 JT JTT97 one pair 384 0.62% 1 : 161 91.09%
62 T8 TT987 one pair 384 0.62% 1 : 161 90.47%
63 T6 TT976 one pair 384 0.62% 1 : 161 89.85%
64 T5 TT975 one pair 384 0.62% 1 : 161 89.23%
65 T4 TT974 one pair 384 0.62% 1 : 161 88.61%
66 T3 TT973 one pair 384 0.62% 1 : 161 87.99%
67 T2 TT972 one pair 384 0.62% 1 : 161 87.37%
68 A9 AT997 one pair 384 0.62% 1 : 161 86.76%
69 K9 KT997 one pair 384 0.62% 1 : 161 86.14%
70 Q9 QT997 one pair 384 0.62% 1 : 161 85.52%
71 J9 JT997 one pair 384 0.62% 1 : 161 84.90%
72 98 T9987 one pair 384 0.62% 1 : 161 84.28%
73 96 T9976 one pair 384 0.62% 1 : 161 83.66%
74 95 T9975 one pair 384 0.62% 1 : 161 83.04%
75 94 T9974 one pair 384 0.62% 1 : 161 82.42%
76 93 T9973 one pair 384 0.62% 1 : 161 81.81%
77 92 T9972 one pair 384 0.62% 1 : 161 81.19%
78 88 T9887 one pair 384 0.62% 1 : 161 80.57%
79 A7 AT977 one pair 384 0.62% 1 : 161 79.95%
80 K7 KT977 one pair 384 0.62% 1 : 161 79.33%
81 Q7 QT977 one pair 384 0.62% 1 : 161 78.71%
82 J7 JT977 one pair 384 0.62% 1 : 161 78.09%
83 87 T9877 one pair 384 0.62% 1 : 161 77.47%
84 76 T9776 one pair 384 0.62% 1 : 161 76.86%
85 75 T9775 one pair 384 0.62% 1 : 161 76.24%
86 74 T9774 one pair 384 0.62% 1 : 161 75.62%
87 73 T9773 one pair 384 0.62% 1 : 161 75.00%
88 72 T9772 one pair 384 0.62% 1 : 161 74.38%
89 66 T9766 one pair 384 0.62% 1 : 161 73.76%
90 55 T9755 one pair 384 0.62% 1 : 161 73.14%
91 44 T9744 one pair 384 0.62% 1 : 161 72.53%
92 33 T9733 one pair 384 0.62% 1 : 161 71.91%
93 22 T9722 one pair 384 0.62% 1 : 161 71.29%
 
94 AK AKT97 high card 1,020 1.64% 1 : 59.8 70.67%
95 AQ AQT97 high card 1,020 1.64% 1 : 59.8 69.03%
96 AJ AJT97 high card 1,020 1.64% 1 : 59.8 67.38%
97 A8 AT987 high card 1,020 1.64% 1 : 59.8 65.74%
98 A6 AT976 high card 1,020 1.64% 1 : 59.8 64.10%
99 A5 AT975 high card 1,020 1.64% 1 : 59.8 62.45%
100 A4 AT974 high card 1,020 1.64% 1 : 59.8 60.81%
101 A3 AT973 high card 1,020 1.64% 1 : 59.8 59.16%
102 A2 AT972 high card 1,020 1.64% 1 : 59.8 57.52%
103 KQ KQT97 high card 1,020 1.64% 1 : 59.8 55.88%
104 KJ KJT97 high card 1,020 1.64% 1 : 59.8 54.23%
105 K8 KT987 high card 1,020 1.64% 1 : 59.8 52.59%
106 K6 KT976 high card 1,020 1.64% 1 : 59.8 50.95%
107 K5 KT975 high card 1,020 1.64% 1 : 59.8 49.30%
108 K4 KT974 high card 1,020 1.64% 1 : 59.8 47.66%
109 K3 KT973 high card 1,020 1.64% 1 : 59.8 46.02%
110 K2 KT972 high card 1,020 1.64% 1 : 59.8 44.37%
111 QJ QJT97 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q8 QT987 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q6 QT976 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q5 QT975 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q4 QT974 high card 1,020 1.64% 1 : 59.8 36.16%
116 Q3 QT973 high card 1,020 1.64% 1 : 59.8 34.51%
117 Q2 QT972 high card 1,020 1.64% 1 : 59.8 32.87%
118 J6 JT976 high card 1,020 1.64% 1 : 59.8 31.23%
119 J5 JT975 high card 1,020 1.64% 1 : 59.8 29.58%
120 J4 JT974 high card 1,020 1.64% 1 : 59.8 27.94%
121 J3 JT973 high card 1,020 1.64% 1 : 59.8 26.30%
122 J2 JT972 high card 1,020 1.64% 1 : 59.8 24.65%
123 85 T9875 high card 1,020 1.64% 1 : 59.8 23.01%
124 84 T9874 high card 1,020 1.64% 1 : 59.8 21.37%
125 83 T9873 high card 1,020 1.64% 1 : 59.8 19.72%
126 82 T9872 high card 1,020 1.64% 1 : 59.8 18.08%
127 65 T9765 high card 1,020 1.64% 1 : 59.8 16.43%
128 64 T9764 high card 1,020 1.64% 1 : 59.8 14.79%
129 63 T9763 high card 1,020 1.64% 1 : 59.8 13.15%
130 62 T9762 high card 1,020 1.64% 1 : 59.8 11.50%
131 54 T9754 high card 1,020 1.64% 1 : 59.8 9.86%
132 53 T9753 high card 1,020 1.64% 1 : 59.8 8.22%
133 52 T9752 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 T9743 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 T9742 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 T9732 high card 1,020 1.64% 1 : 59.8 1.64%