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 AK843 flush 4 0.01% 1 : 15515 100.00%
2 AQs AQ843 flush 4 0.01% 1 : 15515 99.99%
3 AJs AJ843 flush 4 0.01% 1 : 15515 99.99%
4 ATs AT843 flush 4 0.01% 1 : 15515 99.98%
5 A9s A9843 flush 4 0.01% 1 : 15515 99.97%
6 A7s A8743 flush 4 0.01% 1 : 15515 99.97%
7 A6s A8643 flush 4 0.01% 1 : 15515 99.96%
8 A5s A8543 flush 4 0.01% 1 : 15515 99.95%
9 A2s A8432 flush 4 0.01% 1 : 15515 99.95%
10 KQs KQ843 flush 4 0.01% 1 : 15515 99.94%
11 KJs KJ843 flush 4 0.01% 1 : 15515 99.94%
12 KTs KT843 flush 4 0.01% 1 : 15515 99.93%
13 K9s K9843 flush 4 0.01% 1 : 15515 99.92%
14 K7s K8743 flush 4 0.01% 1 : 15515 99.92%
15 K6s K8643 flush 4 0.01% 1 : 15515 99.91%
16 K5s K8543 flush 4 0.01% 1 : 15515 99.90%
17 K2s K8432 flush 4 0.01% 1 : 15515 99.90%
18 QJs QJ843 flush 4 0.01% 1 : 15515 99.89%
19 QTs QT843 flush 4 0.01% 1 : 15515 99.88%
20 Q9s Q9843 flush 4 0.01% 1 : 15515 99.88%
21 Q7s Q8743 flush 4 0.01% 1 : 15515 99.87%
22 Q6s Q8643 flush 4 0.01% 1 : 15515 99.86%
23 Q5s Q8543 flush 4 0.01% 1 : 15515 99.86%
24 Q2s Q8432 flush 4 0.01% 1 : 15515 99.85%
25 JTs JT843 flush 4 0.01% 1 : 15515 99.85%
26 J9s J9843 flush 4 0.01% 1 : 15515 99.84%
27 J7s J8743 flush 4 0.01% 1 : 15515 99.83%
28 J6s J8643 flush 4 0.01% 1 : 15515 99.83%
29 J5s J8543 flush 4 0.01% 1 : 15515 99.82%
30 J2s J8432 flush 4 0.01% 1 : 15515 99.81%
31 T9s T9843 flush 4 0.01% 1 : 15515 99.81%
32 T7s T8743 flush 4 0.01% 1 : 15515 99.80%
33 T6s T8643 flush 4 0.01% 1 : 15515 99.79%
34 T5s T8543 flush 4 0.01% 1 : 15515 99.79%
35 T2s T8432 flush 4 0.01% 1 : 15515 99.78%
36 97s 98743 flush 4 0.01% 1 : 15515 99.77%
37 96s 98643 flush 4 0.01% 1 : 15515 99.77%
38 95s 98543 flush 4 0.01% 1 : 15515 99.76%
39 92s 98432 flush 4 0.01% 1 : 15515 99.76%
40 76s 87643 flush 4 0.01% 1 : 15515 99.75%
41 75s 87543 flush 4 0.01% 1 : 15515 99.74%
42 72s 87432 flush 4 0.01% 1 : 15515 99.74%
43 65s 86543 flush 4 0.01% 1 : 15515 99.73%
44 62s 86432 flush 4 0.01% 1 : 15515 99.72%
45 52s 85432 flush 4 0.01% 1 : 15515 99.72%
 
46 88 88843 three of a kind 64 0.10% 1 : 969 99.71%
47 44 84443 three of a kind 64 0.10% 1 : 969 99.61%
48 33 84333 three of a kind 64 0.10% 1 : 969 99.50%
 
49 84 88443 two pairs 144 0.23% 1 : 430 99.40%
50 83 88433 two pairs 144 0.23% 1 : 430 99.17%
51 43 84433 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AA843 one pair 384 0.62% 1 : 161 98.70%
53 KK KK843 one pair 384 0.62% 1 : 161 98.09%
54 QQ QQ843 one pair 384 0.62% 1 : 161 97.47%
55 JJ JJ843 one pair 384 0.62% 1 : 161 96.85%
56 TT TT843 one pair 384 0.62% 1 : 161 96.23%
57 99 99843 one pair 384 0.62% 1 : 161 95.61%
58 A8 A8843 one pair 384 0.62% 1 : 161 94.99%
59 K8 K8843 one pair 384 0.62% 1 : 161 94.37%
60 Q8 Q8843 one pair 384 0.62% 1 : 161 93.75%
61 J8 J8843 one pair 384 0.62% 1 : 161 93.14%
62 T8 T8843 one pair 384 0.62% 1 : 161 92.52%
63 98 98843 one pair 384 0.62% 1 : 161 91.90%
64 87 88743 one pair 384 0.62% 1 : 161 91.28%
65 86 88643 one pair 384 0.62% 1 : 161 90.66%
66 85 88543 one pair 384 0.62% 1 : 161 90.04%
67 82 88432 one pair 384 0.62% 1 : 161 89.42%
68 77 87743 one pair 384 0.62% 1 : 161 88.81%
69 66 86643 one pair 384 0.62% 1 : 161 88.19%
70 55 85543 one pair 384 0.62% 1 : 161 87.57%
71 A4 A8443 one pair 384 0.62% 1 : 161 86.95%
72 K4 K8443 one pair 384 0.62% 1 : 161 86.33%
73 Q4 Q8443 one pair 384 0.62% 1 : 161 85.71%
74 J4 J8443 one pair 384 0.62% 1 : 161 85.09%
75 T4 T8443 one pair 384 0.62% 1 : 161 84.47%
76 94 98443 one pair 384 0.62% 1 : 161 83.86%
77 74 87443 one pair 384 0.62% 1 : 161 83.24%
78 64 86443 one pair 384 0.62% 1 : 161 82.62%
79 54 85443 one pair 384 0.62% 1 : 161 82.00%
80 42 84432 one pair 384 0.62% 1 : 161 81.38%
81 A3 A8433 one pair 384 0.62% 1 : 161 80.76%
82 K3 K8433 one pair 384 0.62% 1 : 161 80.14%
83 Q3 Q8433 one pair 384 0.62% 1 : 161 79.52%
84 J3 J8433 one pair 384 0.62% 1 : 161 78.91%
85 T3 T8433 one pair 384 0.62% 1 : 161 78.29%
86 93 98433 one pair 384 0.62% 1 : 161 77.67%
87 73 87433 one pair 384 0.62% 1 : 161 77.05%
88 63 86433 one pair 384 0.62% 1 : 161 76.43%
89 53 85433 one pair 384 0.62% 1 : 161 75.81%
90 32 84332 one pair 384 0.62% 1 : 161 75.19%
91 22 84322 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AK843 high card 1,020 1.64% 1 : 59.8 73.96%
93 AQ AQ843 high card 1,020 1.64% 1 : 59.8 72.31%
94 AJ AJ843 high card 1,020 1.64% 1 : 59.8 70.67%
95 AT AT843 high card 1,020 1.64% 1 : 59.8 69.03%
96 A9 A9843 high card 1,020 1.64% 1 : 59.8 67.38%
97 A7 A8743 high card 1,020 1.64% 1 : 59.8 65.74%
98 A6 A8643 high card 1,020 1.64% 1 : 59.8 64.10%
99 A5 A8543 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 A8432 high card 1,020 1.64% 1 : 59.8 60.81%
101 KQ KQ843 high card 1,020 1.64% 1 : 59.8 59.16%
102 KJ KJ843 high card 1,020 1.64% 1 : 59.8 57.52%
103 KT KT843 high card 1,020 1.64% 1 : 59.8 55.88%
104 K9 K9843 high card 1,020 1.64% 1 : 59.8 54.23%
105 K7 K8743 high card 1,020 1.64% 1 : 59.8 52.59%
106 K6 K8643 high card 1,020 1.64% 1 : 59.8 50.95%
107 K5 K8543 high card 1,020 1.64% 1 : 59.8 49.30%
108 K2 K8432 high card 1,020 1.64% 1 : 59.8 47.66%
109 QJ QJ843 high card 1,020 1.64% 1 : 59.8 46.02%
110 QT QT843 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q9 Q9843 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q7 Q8743 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q6 Q8643 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q5 Q8543 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q2 Q8432 high card 1,020 1.64% 1 : 59.8 36.16%
116 JT JT843 high card 1,020 1.64% 1 : 59.8 34.51%
117 J9 J9843 high card 1,020 1.64% 1 : 59.8 32.87%
118 J7 J8743 high card 1,020 1.64% 1 : 59.8 31.23%
119 J6 J8643 high card 1,020 1.64% 1 : 59.8 29.58%
120 J5 J8543 high card 1,020 1.64% 1 : 59.8 27.94%
121 J2 J8432 high card 1,020 1.64% 1 : 59.8 26.30%
122 T9 T9843 high card 1,020 1.64% 1 : 59.8 24.65%
123 T7 T8743 high card 1,020 1.64% 1 : 59.8 23.01%
124 T6 T8643 high card 1,020 1.64% 1 : 59.8 21.37%
125 T5 T8543 high card 1,020 1.64% 1 : 59.8 19.72%
126 T2 T8432 high card 1,020 1.64% 1 : 59.8 18.08%
127 97 98743 high card 1,020 1.64% 1 : 59.8 16.43%
128 96 98643 high card 1,020 1.64% 1 : 59.8 14.79%
129 95 98543 high card 1,020 1.64% 1 : 59.8 13.15%
130 92 98432 high card 1,020 1.64% 1 : 59.8 11.50%
131 76 87643 high card 1,020 1.64% 1 : 59.8 9.86%
132 75 87543 high card 1,020 1.64% 1 : 59.8 8.22%
133 72 87432 high card 1,020 1.64% 1 : 59.8 6.57%
134 65 86543 high card 1,020 1.64% 1 : 59.8 4.93%
135 62 86432 high card 1,020 1.64% 1 : 59.8 3.29%
136 52 85432 high card 1,020 1.64% 1 : 59.8 1.64%