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 AK832 flush 4 0.01% 1 : 15515 100.00%
2 AQs AQ832 flush 4 0.01% 1 : 15515 99.99%
3 AJs AJ832 flush 4 0.01% 1 : 15515 99.99%
4 ATs AT832 flush 4 0.01% 1 : 15515 99.98%
5 A9s A9832 flush 4 0.01% 1 : 15515 99.97%
6 A7s A8732 flush 4 0.01% 1 : 15515 99.97%
7 A6s A8632 flush 4 0.01% 1 : 15515 99.96%
8 A5s A8532 flush 4 0.01% 1 : 15515 99.95%
9 A4s A8432 flush 4 0.01% 1 : 15515 99.95%
10 KQs KQ832 flush 4 0.01% 1 : 15515 99.94%
11 KJs KJ832 flush 4 0.01% 1 : 15515 99.94%
12 KTs KT832 flush 4 0.01% 1 : 15515 99.93%
13 K9s K9832 flush 4 0.01% 1 : 15515 99.92%
14 K7s K8732 flush 4 0.01% 1 : 15515 99.92%
15 K6s K8632 flush 4 0.01% 1 : 15515 99.91%
16 K5s K8532 flush 4 0.01% 1 : 15515 99.90%
17 K4s K8432 flush 4 0.01% 1 : 15515 99.90%
18 QJs QJ832 flush 4 0.01% 1 : 15515 99.89%
19 QTs QT832 flush 4 0.01% 1 : 15515 99.88%
20 Q9s Q9832 flush 4 0.01% 1 : 15515 99.88%
21 Q7s Q8732 flush 4 0.01% 1 : 15515 99.87%
22 Q6s Q8632 flush 4 0.01% 1 : 15515 99.86%
23 Q5s Q8532 flush 4 0.01% 1 : 15515 99.86%
24 Q4s Q8432 flush 4 0.01% 1 : 15515 99.85%
25 JTs JT832 flush 4 0.01% 1 : 15515 99.85%
26 J9s J9832 flush 4 0.01% 1 : 15515 99.84%
27 J7s J8732 flush 4 0.01% 1 : 15515 99.83%
28 J6s J8632 flush 4 0.01% 1 : 15515 99.83%
29 J5s J8532 flush 4 0.01% 1 : 15515 99.82%
30 J4s J8432 flush 4 0.01% 1 : 15515 99.81%
31 T9s T9832 flush 4 0.01% 1 : 15515 99.81%
32 T7s T8732 flush 4 0.01% 1 : 15515 99.80%
33 T6s T8632 flush 4 0.01% 1 : 15515 99.79%
34 T5s T8532 flush 4 0.01% 1 : 15515 99.79%
35 T4s T8432 flush 4 0.01% 1 : 15515 99.78%
36 97s 98732 flush 4 0.01% 1 : 15515 99.77%
37 96s 98632 flush 4 0.01% 1 : 15515 99.77%
38 95s 98532 flush 4 0.01% 1 : 15515 99.76%
39 94s 98432 flush 4 0.01% 1 : 15515 99.76%
40 76s 87632 flush 4 0.01% 1 : 15515 99.75%
41 75s 87532 flush 4 0.01% 1 : 15515 99.74%
42 74s 87432 flush 4 0.01% 1 : 15515 99.74%
43 65s 86532 flush 4 0.01% 1 : 15515 99.73%
44 64s 86432 flush 4 0.01% 1 : 15515 99.72%
45 54s 85432 flush 4 0.01% 1 : 15515 99.72%
 
46 88 88832 three of a kind 64 0.10% 1 : 969 99.71%
47 33 83332 three of a kind 64 0.10% 1 : 969 99.61%
48 22 83222 three of a kind 64 0.10% 1 : 969 99.50%
 
49 83 88332 two pairs 144 0.23% 1 : 430 99.40%
50 82 88322 two pairs 144 0.23% 1 : 430 99.17%
51 32 83322 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AA832 one pair 384 0.62% 1 : 161 98.70%
53 KK KK832 one pair 384 0.62% 1 : 161 98.09%
54 QQ QQ832 one pair 384 0.62% 1 : 161 97.47%
55 JJ JJ832 one pair 384 0.62% 1 : 161 96.85%
56 TT TT832 one pair 384 0.62% 1 : 161 96.23%
57 99 99832 one pair 384 0.62% 1 : 161 95.61%
58 A8 A8832 one pair 384 0.62% 1 : 161 94.99%
59 K8 K8832 one pair 384 0.62% 1 : 161 94.37%
60 Q8 Q8832 one pair 384 0.62% 1 : 161 93.75%
61 J8 J8832 one pair 384 0.62% 1 : 161 93.14%
62 T8 T8832 one pair 384 0.62% 1 : 161 92.52%
63 98 98832 one pair 384 0.62% 1 : 161 91.90%
64 87 88732 one pair 384 0.62% 1 : 161 91.28%
65 86 88632 one pair 384 0.62% 1 : 161 90.66%
66 85 88532 one pair 384 0.62% 1 : 161 90.04%
67 84 88432 one pair 384 0.62% 1 : 161 89.42%
68 77 87732 one pair 384 0.62% 1 : 161 88.81%
69 66 86632 one pair 384 0.62% 1 : 161 88.19%
70 55 85532 one pair 384 0.62% 1 : 161 87.57%
71 44 84432 one pair 384 0.62% 1 : 161 86.95%
72 A3 A8332 one pair 384 0.62% 1 : 161 86.33%
73 K3 K8332 one pair 384 0.62% 1 : 161 85.71%
74 Q3 Q8332 one pair 384 0.62% 1 : 161 85.09%
75 J3 J8332 one pair 384 0.62% 1 : 161 84.47%
76 T3 T8332 one pair 384 0.62% 1 : 161 83.86%
77 93 98332 one pair 384 0.62% 1 : 161 83.24%
78 73 87332 one pair 384 0.62% 1 : 161 82.62%
79 63 86332 one pair 384 0.62% 1 : 161 82.00%
80 53 85332 one pair 384 0.62% 1 : 161 81.38%
81 43 84332 one pair 384 0.62% 1 : 161 80.76%
82 A2 A8322 one pair 384 0.62% 1 : 161 80.14%
83 K2 K8322 one pair 384 0.62% 1 : 161 79.52%
84 Q2 Q8322 one pair 384 0.62% 1 : 161 78.91%
85 J2 J8322 one pair 384 0.62% 1 : 161 78.29%
86 T2 T8322 one pair 384 0.62% 1 : 161 77.67%
87 92 98322 one pair 384 0.62% 1 : 161 77.05%
88 72 87322 one pair 384 0.62% 1 : 161 76.43%
89 62 86322 one pair 384 0.62% 1 : 161 75.81%
90 52 85322 one pair 384 0.62% 1 : 161 75.19%
91 42 84322 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AK832 high card 1,020 1.64% 1 : 59.8 73.96%
93 AQ AQ832 high card 1,020 1.64% 1 : 59.8 72.31%
94 AJ AJ832 high card 1,020 1.64% 1 : 59.8 70.67%
95 AT AT832 high card 1,020 1.64% 1 : 59.8 69.03%
96 A9 A9832 high card 1,020 1.64% 1 : 59.8 67.38%
97 A7 A8732 high card 1,020 1.64% 1 : 59.8 65.74%
98 A6 A8632 high card 1,020 1.64% 1 : 59.8 64.10%
99 A5 A8532 high card 1,020 1.64% 1 : 59.8 62.45%
100 A4 A8432 high card 1,020 1.64% 1 : 59.8 60.81%
101 KQ KQ832 high card 1,020 1.64% 1 : 59.8 59.16%
102 KJ KJ832 high card 1,020 1.64% 1 : 59.8 57.52%
103 KT KT832 high card 1,020 1.64% 1 : 59.8 55.88%
104 K9 K9832 high card 1,020 1.64% 1 : 59.8 54.23%
105 K7 K8732 high card 1,020 1.64% 1 : 59.8 52.59%
106 K6 K8632 high card 1,020 1.64% 1 : 59.8 50.95%
107 K5 K8532 high card 1,020 1.64% 1 : 59.8 49.30%
108 K4 K8432 high card 1,020 1.64% 1 : 59.8 47.66%
109 QJ QJ832 high card 1,020 1.64% 1 : 59.8 46.02%
110 QT QT832 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q9 Q9832 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q7 Q8732 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q6 Q8632 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q5 Q8532 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q4 Q8432 high card 1,020 1.64% 1 : 59.8 36.16%
116 JT JT832 high card 1,020 1.64% 1 : 59.8 34.51%
117 J9 J9832 high card 1,020 1.64% 1 : 59.8 32.87%
118 J7 J8732 high card 1,020 1.64% 1 : 59.8 31.23%
119 J6 J8632 high card 1,020 1.64% 1 : 59.8 29.58%
120 J5 J8532 high card 1,020 1.64% 1 : 59.8 27.94%
121 J4 J8432 high card 1,020 1.64% 1 : 59.8 26.30%
122 T9 T9832 high card 1,020 1.64% 1 : 59.8 24.65%
123 T7 T8732 high card 1,020 1.64% 1 : 59.8 23.01%
124 T6 T8632 high card 1,020 1.64% 1 : 59.8 21.37%
125 T5 T8532 high card 1,020 1.64% 1 : 59.8 19.72%
126 T4 T8432 high card 1,020 1.64% 1 : 59.8 18.08%
127 97 98732 high card 1,020 1.64% 1 : 59.8 16.43%
128 96 98632 high card 1,020 1.64% 1 : 59.8 14.79%
129 95 98532 high card 1,020 1.64% 1 : 59.8 13.15%
130 94 98432 high card 1,020 1.64% 1 : 59.8 11.50%
131 76 87632 high card 1,020 1.64% 1 : 59.8 9.86%
132 75 87532 high card 1,020 1.64% 1 : 59.8 8.22%
133 74 87432 high card 1,020 1.64% 1 : 59.8 6.57%
134 65 86532 high card 1,020 1.64% 1 : 59.8 4.93%
135 64 86432 high card 1,020 1.64% 1 : 59.8 3.29%
136 54 85432 high card 1,020 1.64% 1 : 59.8 1.64%