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 AK943 flush 4 0.01% 1 : 15515 100.00%
2 AQs AQ943 flush 4 0.01% 1 : 15515 99.99%
3 AJs AJ943 flush 4 0.01% 1 : 15515 99.99%
4 ATs AT943 flush 4 0.01% 1 : 15515 99.98%
5 A8s A9843 flush 4 0.01% 1 : 15515 99.97%
6 A7s A9743 flush 4 0.01% 1 : 15515 99.97%
7 A6s A9643 flush 4 0.01% 1 : 15515 99.96%
8 A5s A9543 flush 4 0.01% 1 : 15515 99.95%
9 A2s A9432 flush 4 0.01% 1 : 15515 99.95%
10 KQs KQ943 flush 4 0.01% 1 : 15515 99.94%
11 KJs KJ943 flush 4 0.01% 1 : 15515 99.94%
12 KTs KT943 flush 4 0.01% 1 : 15515 99.93%
13 K8s K9843 flush 4 0.01% 1 : 15515 99.92%
14 K7s K9743 flush 4 0.01% 1 : 15515 99.92%
15 K6s K9643 flush 4 0.01% 1 : 15515 99.91%
16 K5s K9543 flush 4 0.01% 1 : 15515 99.90%
17 K2s K9432 flush 4 0.01% 1 : 15515 99.90%
18 QJs QJ943 flush 4 0.01% 1 : 15515 99.89%
19 QTs QT943 flush 4 0.01% 1 : 15515 99.88%
20 Q8s Q9843 flush 4 0.01% 1 : 15515 99.88%
21 Q7s Q9743 flush 4 0.01% 1 : 15515 99.87%
22 Q6s Q9643 flush 4 0.01% 1 : 15515 99.86%
23 Q5s Q9543 flush 4 0.01% 1 : 15515 99.86%
24 Q2s Q9432 flush 4 0.01% 1 : 15515 99.85%
25 JTs JT943 flush 4 0.01% 1 : 15515 99.85%
26 J8s J9843 flush 4 0.01% 1 : 15515 99.84%
27 J7s J9743 flush 4 0.01% 1 : 15515 99.83%
28 J6s J9643 flush 4 0.01% 1 : 15515 99.83%
29 J5s J9543 flush 4 0.01% 1 : 15515 99.82%
30 J2s J9432 flush 4 0.01% 1 : 15515 99.81%
31 T8s T9843 flush 4 0.01% 1 : 15515 99.81%
32 T7s T9743 flush 4 0.01% 1 : 15515 99.80%
33 T6s T9643 flush 4 0.01% 1 : 15515 99.79%
34 T5s T9543 flush 4 0.01% 1 : 15515 99.79%
35 T2s T9432 flush 4 0.01% 1 : 15515 99.78%
36 87s 98743 flush 4 0.01% 1 : 15515 99.77%
37 86s 98643 flush 4 0.01% 1 : 15515 99.77%
38 85s 98543 flush 4 0.01% 1 : 15515 99.76%
39 82s 98432 flush 4 0.01% 1 : 15515 99.76%
40 76s 97643 flush 4 0.01% 1 : 15515 99.75%
41 75s 97543 flush 4 0.01% 1 : 15515 99.74%
42 72s 97432 flush 4 0.01% 1 : 15515 99.74%
43 65s 96543 flush 4 0.01% 1 : 15515 99.73%
44 62s 96432 flush 4 0.01% 1 : 15515 99.72%
45 52s 95432 flush 4 0.01% 1 : 15515 99.72%
 
46 99 99943 three of a kind 64 0.10% 1 : 969 99.71%
47 44 94443 three of a kind 64 0.10% 1 : 969 99.61%
48 33 94333 three of a kind 64 0.10% 1 : 969 99.50%
 
49 94 99443 two pairs 144 0.23% 1 : 430 99.40%
50 93 99433 two pairs 144 0.23% 1 : 430 99.17%
51 43 94433 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AA943 one pair 384 0.62% 1 : 161 98.70%
53 KK KK943 one pair 384 0.62% 1 : 161 98.09%
54 QQ QQ943 one pair 384 0.62% 1 : 161 97.47%
55 JJ JJ943 one pair 384 0.62% 1 : 161 96.85%
56 TT TT943 one pair 384 0.62% 1 : 161 96.23%
57 A9 A9943 one pair 384 0.62% 1 : 161 95.61%
58 K9 K9943 one pair 384 0.62% 1 : 161 94.99%
59 Q9 Q9943 one pair 384 0.62% 1 : 161 94.37%
60 J9 J9943 one pair 384 0.62% 1 : 161 93.75%
61 T9 T9943 one pair 384 0.62% 1 : 161 93.14%
62 98 99843 one pair 384 0.62% 1 : 161 92.52%
63 97 99743 one pair 384 0.62% 1 : 161 91.90%
64 96 99643 one pair 384 0.62% 1 : 161 91.28%
65 95 99543 one pair 384 0.62% 1 : 161 90.66%
66 92 99432 one pair 384 0.62% 1 : 161 90.04%
67 88 98843 one pair 384 0.62% 1 : 161 89.42%
68 77 97743 one pair 384 0.62% 1 : 161 88.81%
69 66 96643 one pair 384 0.62% 1 : 161 88.19%
70 55 95543 one pair 384 0.62% 1 : 161 87.57%
71 A4 A9443 one pair 384 0.62% 1 : 161 86.95%
72 K4 K9443 one pair 384 0.62% 1 : 161 86.33%
73 Q4 Q9443 one pair 384 0.62% 1 : 161 85.71%
74 J4 J9443 one pair 384 0.62% 1 : 161 85.09%
75 T4 T9443 one pair 384 0.62% 1 : 161 84.47%
76 84 98443 one pair 384 0.62% 1 : 161 83.86%
77 74 97443 one pair 384 0.62% 1 : 161 83.24%
78 64 96443 one pair 384 0.62% 1 : 161 82.62%
79 54 95443 one pair 384 0.62% 1 : 161 82.00%
80 42 94432 one pair 384 0.62% 1 : 161 81.38%
81 A3 A9433 one pair 384 0.62% 1 : 161 80.76%
82 K3 K9433 one pair 384 0.62% 1 : 161 80.14%
83 Q3 Q9433 one pair 384 0.62% 1 : 161 79.52%
84 J3 J9433 one pair 384 0.62% 1 : 161 78.91%
85 T3 T9433 one pair 384 0.62% 1 : 161 78.29%
86 83 98433 one pair 384 0.62% 1 : 161 77.67%
87 73 97433 one pair 384 0.62% 1 : 161 77.05%
88 63 96433 one pair 384 0.62% 1 : 161 76.43%
89 53 95433 one pair 384 0.62% 1 : 161 75.81%
90 32 94332 one pair 384 0.62% 1 : 161 75.19%
91 22 94322 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AK943 high card 1,020 1.64% 1 : 59.8 73.96%
93 AQ AQ943 high card 1,020 1.64% 1 : 59.8 72.31%
94 AJ AJ943 high card 1,020 1.64% 1 : 59.8 70.67%
95 AT AT943 high card 1,020 1.64% 1 : 59.8 69.03%
96 A8 A9843 high card 1,020 1.64% 1 : 59.8 67.38%
97 A7 A9743 high card 1,020 1.64% 1 : 59.8 65.74%
98 A6 A9643 high card 1,020 1.64% 1 : 59.8 64.10%
99 A5 A9543 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 A9432 high card 1,020 1.64% 1 : 59.8 60.81%
101 KQ KQ943 high card 1,020 1.64% 1 : 59.8 59.16%
102 KJ KJ943 high card 1,020 1.64% 1 : 59.8 57.52%
103 KT KT943 high card 1,020 1.64% 1 : 59.8 55.88%
104 K8 K9843 high card 1,020 1.64% 1 : 59.8 54.23%
105 K7 K9743 high card 1,020 1.64% 1 : 59.8 52.59%
106 K6 K9643 high card 1,020 1.64% 1 : 59.8 50.95%
107 K5 K9543 high card 1,020 1.64% 1 : 59.8 49.30%
108 K2 K9432 high card 1,020 1.64% 1 : 59.8 47.66%
109 QJ QJ943 high card 1,020 1.64% 1 : 59.8 46.02%
110 QT QT943 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q8 Q9843 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q7 Q9743 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q6 Q9643 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q5 Q9543 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q2 Q9432 high card 1,020 1.64% 1 : 59.8 36.16%
116 JT JT943 high card 1,020 1.64% 1 : 59.8 34.51%
117 J8 J9843 high card 1,020 1.64% 1 : 59.8 32.87%
118 J7 J9743 high card 1,020 1.64% 1 : 59.8 31.23%
119 J6 J9643 high card 1,020 1.64% 1 : 59.8 29.58%
120 J5 J9543 high card 1,020 1.64% 1 : 59.8 27.94%
121 J2 J9432 high card 1,020 1.64% 1 : 59.8 26.30%
122 T8 T9843 high card 1,020 1.64% 1 : 59.8 24.65%
123 T7 T9743 high card 1,020 1.64% 1 : 59.8 23.01%
124 T6 T9643 high card 1,020 1.64% 1 : 59.8 21.37%
125 T5 T9543 high card 1,020 1.64% 1 : 59.8 19.72%
126 T2 T9432 high card 1,020 1.64% 1 : 59.8 18.08%
127 87 98743 high card 1,020 1.64% 1 : 59.8 16.43%
128 86 98643 high card 1,020 1.64% 1 : 59.8 14.79%
129 85 98543 high card 1,020 1.64% 1 : 59.8 13.15%
130 82 98432 high card 1,020 1.64% 1 : 59.8 11.50%
131 76 97643 high card 1,020 1.64% 1 : 59.8 9.86%
132 75 97543 high card 1,020 1.64% 1 : 59.8 8.22%
133 72 97432 high card 1,020 1.64% 1 : 59.8 6.57%
134 65 96543 high card 1,020 1.64% 1 : 59.8 4.93%
135 62 96432 high card 1,020 1.64% 1 : 59.8 3.29%
136 52 95432 high card 1,020 1.64% 1 : 59.8 1.64%