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 AK983 flush 4 0.01% 1 : 15515 100.00%
2 AQs AQ983 flush 4 0.01% 1 : 15515 99.99%
3 AJs AJ983 flush 4 0.01% 1 : 15515 99.99%
4 ATs AT983 flush 4 0.01% 1 : 15515 99.98%
5 A7s A9873 flush 4 0.01% 1 : 15515 99.97%
6 A6s A9863 flush 4 0.01% 1 : 15515 99.97%
7 A5s A9853 flush 4 0.01% 1 : 15515 99.96%
8 A4s A9843 flush 4 0.01% 1 : 15515 99.95%
9 A2s A9832 flush 4 0.01% 1 : 15515 99.95%
10 KQs KQ983 flush 4 0.01% 1 : 15515 99.94%
11 KJs KJ983 flush 4 0.01% 1 : 15515 99.94%
12 KTs KT983 flush 4 0.01% 1 : 15515 99.93%
13 K7s K9873 flush 4 0.01% 1 : 15515 99.92%
14 K6s K9863 flush 4 0.01% 1 : 15515 99.92%
15 K5s K9853 flush 4 0.01% 1 : 15515 99.91%
16 K4s K9843 flush 4 0.01% 1 : 15515 99.90%
17 K2s K9832 flush 4 0.01% 1 : 15515 99.90%
18 QJs QJ983 flush 4 0.01% 1 : 15515 99.89%
19 QTs QT983 flush 4 0.01% 1 : 15515 99.88%
20 Q7s Q9873 flush 4 0.01% 1 : 15515 99.88%
21 Q6s Q9863 flush 4 0.01% 1 : 15515 99.87%
22 Q5s Q9853 flush 4 0.01% 1 : 15515 99.86%
23 Q4s Q9843 flush 4 0.01% 1 : 15515 99.86%
24 Q2s Q9832 flush 4 0.01% 1 : 15515 99.85%
25 JTs JT983 flush 4 0.01% 1 : 15515 99.85%
26 J7s J9873 flush 4 0.01% 1 : 15515 99.84%
27 J6s J9863 flush 4 0.01% 1 : 15515 99.83%
28 J5s J9853 flush 4 0.01% 1 : 15515 99.83%
29 J4s J9843 flush 4 0.01% 1 : 15515 99.82%
30 J2s J9832 flush 4 0.01% 1 : 15515 99.81%
31 T7s T9873 flush 4 0.01% 1 : 15515 99.81%
32 T6s T9863 flush 4 0.01% 1 : 15515 99.80%
33 T5s T9853 flush 4 0.01% 1 : 15515 99.79%
34 T4s T9843 flush 4 0.01% 1 : 15515 99.79%
35 T2s T9832 flush 4 0.01% 1 : 15515 99.78%
36 76s 98763 flush 4 0.01% 1 : 15515 99.77%
37 75s 98753 flush 4 0.01% 1 : 15515 99.77%
38 74s 98743 flush 4 0.01% 1 : 15515 99.76%
39 72s 98732 flush 4 0.01% 1 : 15515 99.76%
40 65s 98653 flush 4 0.01% 1 : 15515 99.75%
41 64s 98643 flush 4 0.01% 1 : 15515 99.74%
42 62s 98632 flush 4 0.01% 1 : 15515 99.74%
43 54s 98543 flush 4 0.01% 1 : 15515 99.73%
44 52s 98532 flush 4 0.01% 1 : 15515 99.72%
45 42s 98432 flush 4 0.01% 1 : 15515 99.72%
 
46 99 99983 three of a kind 64 0.10% 1 : 969 99.71%
47 88 98883 three of a kind 64 0.10% 1 : 969 99.61%
48 33 98333 three of a kind 64 0.10% 1 : 969 99.50%
 
49 98 99883 two pairs 144 0.23% 1 : 430 99.40%
50 93 99833 two pairs 144 0.23% 1 : 430 99.17%
51 83 98833 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AA983 one pair 384 0.62% 1 : 161 98.70%
53 KK KK983 one pair 384 0.62% 1 : 161 98.09%
54 QQ QQ983 one pair 384 0.62% 1 : 161 97.47%
55 JJ JJ983 one pair 384 0.62% 1 : 161 96.85%
56 TT TT983 one pair 384 0.62% 1 : 161 96.23%
57 A9 A9983 one pair 384 0.62% 1 : 161 95.61%
58 K9 K9983 one pair 384 0.62% 1 : 161 94.99%
59 Q9 Q9983 one pair 384 0.62% 1 : 161 94.37%
60 J9 J9983 one pair 384 0.62% 1 : 161 93.75%
61 T9 T9983 one pair 384 0.62% 1 : 161 93.14%
62 97 99873 one pair 384 0.62% 1 : 161 92.52%
63 96 99863 one pair 384 0.62% 1 : 161 91.90%
64 95 99853 one pair 384 0.62% 1 : 161 91.28%
65 94 99843 one pair 384 0.62% 1 : 161 90.66%
66 92 99832 one pair 384 0.62% 1 : 161 90.04%
67 A8 A9883 one pair 384 0.62% 1 : 161 89.42%
68 K8 K9883 one pair 384 0.62% 1 : 161 88.81%
69 Q8 Q9883 one pair 384 0.62% 1 : 161 88.19%
70 J8 J9883 one pair 384 0.62% 1 : 161 87.57%
71 T8 T9883 one pair 384 0.62% 1 : 161 86.95%
72 87 98873 one pair 384 0.62% 1 : 161 86.33%
73 86 98863 one pair 384 0.62% 1 : 161 85.71%
74 85 98853 one pair 384 0.62% 1 : 161 85.09%
75 84 98843 one pair 384 0.62% 1 : 161 84.47%
76 82 98832 one pair 384 0.62% 1 : 161 83.86%
77 77 98773 one pair 384 0.62% 1 : 161 83.24%
78 66 98663 one pair 384 0.62% 1 : 161 82.62%
79 55 98553 one pair 384 0.62% 1 : 161 82.00%
80 44 98443 one pair 384 0.62% 1 : 161 81.38%
81 A3 A9833 one pair 384 0.62% 1 : 161 80.76%
82 K3 K9833 one pair 384 0.62% 1 : 161 80.14%
83 Q3 Q9833 one pair 384 0.62% 1 : 161 79.52%
84 J3 J9833 one pair 384 0.62% 1 : 161 78.91%
85 T3 T9833 one pair 384 0.62% 1 : 161 78.29%
86 73 98733 one pair 384 0.62% 1 : 161 77.67%
87 63 98633 one pair 384 0.62% 1 : 161 77.05%
88 53 98533 one pair 384 0.62% 1 : 161 76.43%
89 43 98433 one pair 384 0.62% 1 : 161 75.81%
90 32 98332 one pair 384 0.62% 1 : 161 75.19%
91 22 98322 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AK983 high card 1,020 1.64% 1 : 59.8 73.96%
93 AQ AQ983 high card 1,020 1.64% 1 : 59.8 72.31%
94 AJ AJ983 high card 1,020 1.64% 1 : 59.8 70.67%
95 AT AT983 high card 1,020 1.64% 1 : 59.8 69.03%
96 A7 A9873 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 A9863 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 A9853 high card 1,020 1.64% 1 : 59.8 64.10%
99 A4 A9843 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 A9832 high card 1,020 1.64% 1 : 59.8 60.81%
101 KQ KQ983 high card 1,020 1.64% 1 : 59.8 59.16%
102 KJ KJ983 high card 1,020 1.64% 1 : 59.8 57.52%
103 KT KT983 high card 1,020 1.64% 1 : 59.8 55.88%
104 K7 K9873 high card 1,020 1.64% 1 : 59.8 54.23%
105 K6 K9863 high card 1,020 1.64% 1 : 59.8 52.59%
106 K5 K9853 high card 1,020 1.64% 1 : 59.8 50.95%
107 K4 K9843 high card 1,020 1.64% 1 : 59.8 49.30%
108 K2 K9832 high card 1,020 1.64% 1 : 59.8 47.66%
109 QJ QJ983 high card 1,020 1.64% 1 : 59.8 46.02%
110 QT QT983 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q7 Q9873 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q6 Q9863 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q5 Q9853 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q4 Q9843 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q2 Q9832 high card 1,020 1.64% 1 : 59.8 36.16%
116 JT JT983 high card 1,020 1.64% 1 : 59.8 34.51%
117 J7 J9873 high card 1,020 1.64% 1 : 59.8 32.87%
118 J6 J9863 high card 1,020 1.64% 1 : 59.8 31.23%
119 J5 J9853 high card 1,020 1.64% 1 : 59.8 29.58%
120 J4 J9843 high card 1,020 1.64% 1 : 59.8 27.94%
121 J2 J9832 high card 1,020 1.64% 1 : 59.8 26.30%
122 T7 T9873 high card 1,020 1.64% 1 : 59.8 24.65%
123 T6 T9863 high card 1,020 1.64% 1 : 59.8 23.01%
124 T5 T9853 high card 1,020 1.64% 1 : 59.8 21.37%
125 T4 T9843 high card 1,020 1.64% 1 : 59.8 19.72%
126 T2 T9832 high card 1,020 1.64% 1 : 59.8 18.08%
127 76 98763 high card 1,020 1.64% 1 : 59.8 16.43%
128 75 98753 high card 1,020 1.64% 1 : 59.8 14.79%
129 74 98743 high card 1,020 1.64% 1 : 59.8 13.15%
130 72 98732 high card 1,020 1.64% 1 : 59.8 11.50%
131 65 98653 high card 1,020 1.64% 1 : 59.8 9.86%
132 64 98643 high card 1,020 1.64% 1 : 59.8 8.22%
133 62 98632 high card 1,020 1.64% 1 : 59.8 6.57%
134 54 98543 high card 1,020 1.64% 1 : 59.8 4.93%
135 52 98532 high card 1,020 1.64% 1 : 59.8 3.29%
136 42 98432 high card 1,020 1.64% 1 : 59.8 1.64%