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 AK932 flush 4 0.01% 1 : 15515 100.00%
2 AQs AQ932 flush 4 0.01% 1 : 15515 99.99%
3 AJs AJ932 flush 4 0.01% 1 : 15515 99.99%
4 ATs AT932 flush 4 0.01% 1 : 15515 99.98%
5 A8s A9832 flush 4 0.01% 1 : 15515 99.97%
6 A7s A9732 flush 4 0.01% 1 : 15515 99.97%
7 A6s A9632 flush 4 0.01% 1 : 15515 99.96%
8 A5s A9532 flush 4 0.01% 1 : 15515 99.95%
9 A4s A9432 flush 4 0.01% 1 : 15515 99.95%
10 KQs KQ932 flush 4 0.01% 1 : 15515 99.94%
11 KJs KJ932 flush 4 0.01% 1 : 15515 99.94%
12 KTs KT932 flush 4 0.01% 1 : 15515 99.93%
13 K8s K9832 flush 4 0.01% 1 : 15515 99.92%
14 K7s K9732 flush 4 0.01% 1 : 15515 99.92%
15 K6s K9632 flush 4 0.01% 1 : 15515 99.91%
16 K5s K9532 flush 4 0.01% 1 : 15515 99.90%
17 K4s K9432 flush 4 0.01% 1 : 15515 99.90%
18 QJs QJ932 flush 4 0.01% 1 : 15515 99.89%
19 QTs QT932 flush 4 0.01% 1 : 15515 99.88%
20 Q8s Q9832 flush 4 0.01% 1 : 15515 99.88%
21 Q7s Q9732 flush 4 0.01% 1 : 15515 99.87%
22 Q6s Q9632 flush 4 0.01% 1 : 15515 99.86%
23 Q5s Q9532 flush 4 0.01% 1 : 15515 99.86%
24 Q4s Q9432 flush 4 0.01% 1 : 15515 99.85%
25 JTs JT932 flush 4 0.01% 1 : 15515 99.85%
26 J8s J9832 flush 4 0.01% 1 : 15515 99.84%
27 J7s J9732 flush 4 0.01% 1 : 15515 99.83%
28 J6s J9632 flush 4 0.01% 1 : 15515 99.83%
29 J5s J9532 flush 4 0.01% 1 : 15515 99.82%
30 J4s J9432 flush 4 0.01% 1 : 15515 99.81%
31 T8s T9832 flush 4 0.01% 1 : 15515 99.81%
32 T7s T9732 flush 4 0.01% 1 : 15515 99.80%
33 T6s T9632 flush 4 0.01% 1 : 15515 99.79%
34 T5s T9532 flush 4 0.01% 1 : 15515 99.79%
35 T4s T9432 flush 4 0.01% 1 : 15515 99.78%
36 87s 98732 flush 4 0.01% 1 : 15515 99.77%
37 86s 98632 flush 4 0.01% 1 : 15515 99.77%
38 85s 98532 flush 4 0.01% 1 : 15515 99.76%
39 84s 98432 flush 4 0.01% 1 : 15515 99.76%
40 76s 97632 flush 4 0.01% 1 : 15515 99.75%
41 75s 97532 flush 4 0.01% 1 : 15515 99.74%
42 74s 97432 flush 4 0.01% 1 : 15515 99.74%
43 65s 96532 flush 4 0.01% 1 : 15515 99.73%
44 64s 96432 flush 4 0.01% 1 : 15515 99.72%
45 54s 95432 flush 4 0.01% 1 : 15515 99.72%
 
46 99 99932 three of a kind 64 0.10% 1 : 969 99.71%
47 33 93332 three of a kind 64 0.10% 1 : 969 99.61%
48 22 93222 three of a kind 64 0.10% 1 : 969 99.50%
 
49 93 99332 two pairs 144 0.23% 1 : 430 99.40%
50 92 99322 two pairs 144 0.23% 1 : 430 99.17%
51 32 93322 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AA932 one pair 384 0.62% 1 : 161 98.70%
53 KK KK932 one pair 384 0.62% 1 : 161 98.09%
54 QQ QQ932 one pair 384 0.62% 1 : 161 97.47%
55 JJ JJ932 one pair 384 0.62% 1 : 161 96.85%
56 TT TT932 one pair 384 0.62% 1 : 161 96.23%
57 A9 A9932 one pair 384 0.62% 1 : 161 95.61%
58 K9 K9932 one pair 384 0.62% 1 : 161 94.99%
59 Q9 Q9932 one pair 384 0.62% 1 : 161 94.37%
60 J9 J9932 one pair 384 0.62% 1 : 161 93.75%
61 T9 T9932 one pair 384 0.62% 1 : 161 93.14%
62 98 99832 one pair 384 0.62% 1 : 161 92.52%
63 97 99732 one pair 384 0.62% 1 : 161 91.90%
64 96 99632 one pair 384 0.62% 1 : 161 91.28%
65 95 99532 one pair 384 0.62% 1 : 161 90.66%
66 94 99432 one pair 384 0.62% 1 : 161 90.04%
67 88 98832 one pair 384 0.62% 1 : 161 89.42%
68 77 97732 one pair 384 0.62% 1 : 161 88.81%
69 66 96632 one pair 384 0.62% 1 : 161 88.19%
70 55 95532 one pair 384 0.62% 1 : 161 87.57%
71 44 94432 one pair 384 0.62% 1 : 161 86.95%
72 A3 A9332 one pair 384 0.62% 1 : 161 86.33%
73 K3 K9332 one pair 384 0.62% 1 : 161 85.71%
74 Q3 Q9332 one pair 384 0.62% 1 : 161 85.09%
75 J3 J9332 one pair 384 0.62% 1 : 161 84.47%
76 T3 T9332 one pair 384 0.62% 1 : 161 83.86%
77 83 98332 one pair 384 0.62% 1 : 161 83.24%
78 73 97332 one pair 384 0.62% 1 : 161 82.62%
79 63 96332 one pair 384 0.62% 1 : 161 82.00%
80 53 95332 one pair 384 0.62% 1 : 161 81.38%
81 43 94332 one pair 384 0.62% 1 : 161 80.76%
82 A2 A9322 one pair 384 0.62% 1 : 161 80.14%
83 K2 K9322 one pair 384 0.62% 1 : 161 79.52%
84 Q2 Q9322 one pair 384 0.62% 1 : 161 78.91%
85 J2 J9322 one pair 384 0.62% 1 : 161 78.29%
86 T2 T9322 one pair 384 0.62% 1 : 161 77.67%
87 82 98322 one pair 384 0.62% 1 : 161 77.05%
88 72 97322 one pair 384 0.62% 1 : 161 76.43%
89 62 96322 one pair 384 0.62% 1 : 161 75.81%
90 52 95322 one pair 384 0.62% 1 : 161 75.19%
91 42 94322 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AK932 high card 1,020 1.64% 1 : 59.8 73.96%
93 AQ AQ932 high card 1,020 1.64% 1 : 59.8 72.31%
94 AJ AJ932 high card 1,020 1.64% 1 : 59.8 70.67%
95 AT AT932 high card 1,020 1.64% 1 : 59.8 69.03%
96 A8 A9832 high card 1,020 1.64% 1 : 59.8 67.38%
97 A7 A9732 high card 1,020 1.64% 1 : 59.8 65.74%
98 A6 A9632 high card 1,020 1.64% 1 : 59.8 64.10%
99 A5 A9532 high card 1,020 1.64% 1 : 59.8 62.45%
100 A4 A9432 high card 1,020 1.64% 1 : 59.8 60.81%
101 KQ KQ932 high card 1,020 1.64% 1 : 59.8 59.16%
102 KJ KJ932 high card 1,020 1.64% 1 : 59.8 57.52%
103 KT KT932 high card 1,020 1.64% 1 : 59.8 55.88%
104 K8 K9832 high card 1,020 1.64% 1 : 59.8 54.23%
105 K7 K9732 high card 1,020 1.64% 1 : 59.8 52.59%
106 K6 K9632 high card 1,020 1.64% 1 : 59.8 50.95%
107 K5 K9532 high card 1,020 1.64% 1 : 59.8 49.30%
108 K4 K9432 high card 1,020 1.64% 1 : 59.8 47.66%
109 QJ QJ932 high card 1,020 1.64% 1 : 59.8 46.02%
110 QT QT932 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q8 Q9832 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q7 Q9732 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q6 Q9632 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q5 Q9532 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q4 Q9432 high card 1,020 1.64% 1 : 59.8 36.16%
116 JT JT932 high card 1,020 1.64% 1 : 59.8 34.51%
117 J8 J9832 high card 1,020 1.64% 1 : 59.8 32.87%
118 J7 J9732 high card 1,020 1.64% 1 : 59.8 31.23%
119 J6 J9632 high card 1,020 1.64% 1 : 59.8 29.58%
120 J5 J9532 high card 1,020 1.64% 1 : 59.8 27.94%
121 J4 J9432 high card 1,020 1.64% 1 : 59.8 26.30%
122 T8 T9832 high card 1,020 1.64% 1 : 59.8 24.65%
123 T7 T9732 high card 1,020 1.64% 1 : 59.8 23.01%
124 T6 T9632 high card 1,020 1.64% 1 : 59.8 21.37%
125 T5 T9532 high card 1,020 1.64% 1 : 59.8 19.72%
126 T4 T9432 high card 1,020 1.64% 1 : 59.8 18.08%
127 87 98732 high card 1,020 1.64% 1 : 59.8 16.43%
128 86 98632 high card 1,020 1.64% 1 : 59.8 14.79%
129 85 98532 high card 1,020 1.64% 1 : 59.8 13.15%
130 84 98432 high card 1,020 1.64% 1 : 59.8 11.50%
131 76 97632 high card 1,020 1.64% 1 : 59.8 9.86%
132 75 97532 high card 1,020 1.64% 1 : 59.8 8.22%
133 74 97432 high card 1,020 1.64% 1 : 59.8 6.57%
134 65 96532 high card 1,020 1.64% 1 : 59.8 4.93%
135 64 96432 high card 1,020 1.64% 1 : 59.8 3.29%
136 54 95432 high card 1,020 1.64% 1 : 59.8 1.64%