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 AQs AKQT3 flush 4 0.01% 1 : 15515 100.00%
2 AJs AKJT3 flush 4 0.01% 1 : 15515 99.99%
3 A9s AKT93 flush 4 0.01% 1 : 15515 99.99%
4 A8s AKT83 flush 4 0.01% 1 : 15515 99.98%
5 A7s AKT73 flush 4 0.01% 1 : 15515 99.97%
6 A6s AKT63 flush 4 0.01% 1 : 15515 99.97%
7 A5s AKT53 flush 4 0.01% 1 : 15515 99.96%
8 A4s AKT43 flush 4 0.01% 1 : 15515 99.95%
9 A2s AKT32 flush 4 0.01% 1 : 15515 99.95%
10 QJs KQJT3 flush 4 0.01% 1 : 15515 99.94%
11 Q9s KQT93 flush 4 0.01% 1 : 15515 99.94%
12 Q8s KQT83 flush 4 0.01% 1 : 15515 99.93%
13 Q7s KQT73 flush 4 0.01% 1 : 15515 99.92%
14 Q6s KQT63 flush 4 0.01% 1 : 15515 99.92%
15 Q5s KQT53 flush 4 0.01% 1 : 15515 99.91%
16 Q4s KQT43 flush 4 0.01% 1 : 15515 99.90%
17 Q2s KQT32 flush 4 0.01% 1 : 15515 99.90%
18 J9s KJT93 flush 4 0.01% 1 : 15515 99.89%
19 J8s KJT83 flush 4 0.01% 1 : 15515 99.88%
20 J7s KJT73 flush 4 0.01% 1 : 15515 99.88%
21 J6s KJT63 flush 4 0.01% 1 : 15515 99.87%
22 J5s KJT53 flush 4 0.01% 1 : 15515 99.86%
23 J4s KJT43 flush 4 0.01% 1 : 15515 99.86%
24 J2s KJT32 flush 4 0.01% 1 : 15515 99.85%
25 98s KT983 flush 4 0.01% 1 : 15515 99.85%
26 97s KT973 flush 4 0.01% 1 : 15515 99.84%
27 96s KT963 flush 4 0.01% 1 : 15515 99.83%
28 95s KT953 flush 4 0.01% 1 : 15515 99.83%
29 94s KT943 flush 4 0.01% 1 : 15515 99.82%
30 92s KT932 flush 4 0.01% 1 : 15515 99.81%
31 87s KT873 flush 4 0.01% 1 : 15515 99.81%
32 86s KT863 flush 4 0.01% 1 : 15515 99.80%
33 85s KT853 flush 4 0.01% 1 : 15515 99.79%
34 84s KT843 flush 4 0.01% 1 : 15515 99.79%
35 82s KT832 flush 4 0.01% 1 : 15515 99.78%
36 76s KT763 flush 4 0.01% 1 : 15515 99.77%
37 75s KT753 flush 4 0.01% 1 : 15515 99.77%
38 74s KT743 flush 4 0.01% 1 : 15515 99.76%
39 72s KT732 flush 4 0.01% 1 : 15515 99.76%
40 65s KT653 flush 4 0.01% 1 : 15515 99.75%
41 64s KT643 flush 4 0.01% 1 : 15515 99.74%
42 62s KT632 flush 4 0.01% 1 : 15515 99.74%
43 54s KT543 flush 4 0.01% 1 : 15515 99.73%
44 52s KT532 flush 4 0.01% 1 : 15515 99.72%
45 42s KT432 flush 4 0.01% 1 : 15515 99.72%
 
46 KK KKKT3 three of a kind 64 0.10% 1 : 969 99.71%
47 TT KTTT3 three of a kind 64 0.10% 1 : 969 99.61%
48 33 KT333 three of a kind 64 0.10% 1 : 969 99.50%
 
49 KT KKTT3 two pairs 144 0.23% 1 : 430 99.40%
50 K3 KKT33 two pairs 144 0.23% 1 : 430 99.17%
51 T3 KTT33 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAKT3 one pair 384 0.62% 1 : 161 98.70%
53 AK AKKT3 one pair 384 0.62% 1 : 161 98.09%
54 KQ KKQT3 one pair 384 0.62% 1 : 161 97.47%
55 KJ KKJT3 one pair 384 0.62% 1 : 161 96.85%
56 K9 KKT93 one pair 384 0.62% 1 : 161 96.23%
57 K8 KKT83 one pair 384 0.62% 1 : 161 95.61%
58 K7 KKT73 one pair 384 0.62% 1 : 161 94.99%
59 K6 KKT63 one pair 384 0.62% 1 : 161 94.37%
60 K5 KKT53 one pair 384 0.62% 1 : 161 93.75%
61 K4 KKT43 one pair 384 0.62% 1 : 161 93.14%
62 K2 KKT32 one pair 384 0.62% 1 : 161 92.52%
63 QQ KQQT3 one pair 384 0.62% 1 : 161 91.90%
64 JJ KJJT3 one pair 384 0.62% 1 : 161 91.28%
65 AT AKTT3 one pair 384 0.62% 1 : 161 90.66%
66 QT KQTT3 one pair 384 0.62% 1 : 161 90.04%
67 JT KJTT3 one pair 384 0.62% 1 : 161 89.42%
68 T9 KTT93 one pair 384 0.62% 1 : 161 88.81%
69 T8 KTT83 one pair 384 0.62% 1 : 161 88.19%
70 T7 KTT73 one pair 384 0.62% 1 : 161 87.57%
71 T6 KTT63 one pair 384 0.62% 1 : 161 86.95%
72 T5 KTT53 one pair 384 0.62% 1 : 161 86.33%
73 T4 KTT43 one pair 384 0.62% 1 : 161 85.71%
74 T2 KTT32 one pair 384 0.62% 1 : 161 85.09%
75 99 KT993 one pair 384 0.62% 1 : 161 84.47%
76 88 KT883 one pair 384 0.62% 1 : 161 83.86%
77 77 KT773 one pair 384 0.62% 1 : 161 83.24%
78 66 KT663 one pair 384 0.62% 1 : 161 82.62%
79 55 KT553 one pair 384 0.62% 1 : 161 82.00%
80 44 KT443 one pair 384 0.62% 1 : 161 81.38%
81 A3 AKT33 one pair 384 0.62% 1 : 161 80.76%
82 Q3 KQT33 one pair 384 0.62% 1 : 161 80.14%
83 J3 KJT33 one pair 384 0.62% 1 : 161 79.52%
84 93 KT933 one pair 384 0.62% 1 : 161 78.91%
85 83 KT833 one pair 384 0.62% 1 : 161 78.29%
86 73 KT733 one pair 384 0.62% 1 : 161 77.67%
87 63 KT633 one pair 384 0.62% 1 : 161 77.05%
88 53 KT533 one pair 384 0.62% 1 : 161 76.43%
89 43 KT433 one pair 384 0.62% 1 : 161 75.81%
90 32 KT332 one pair 384 0.62% 1 : 161 75.19%
91 22 KT322 one pair 384 0.62% 1 : 161 74.57%
 
92 AQ AKQT3 high card 1,020 1.64% 1 : 59.8 73.96%
93 AJ AKJT3 high card 1,020 1.64% 1 : 59.8 72.31%
94 A9 AKT93 high card 1,020 1.64% 1 : 59.8 70.67%
95 A8 AKT83 high card 1,020 1.64% 1 : 59.8 69.03%
96 A7 AKT73 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 AKT63 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 AKT53 high card 1,020 1.64% 1 : 59.8 64.10%
99 A4 AKT43 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AKT32 high card 1,020 1.64% 1 : 59.8 60.81%
101 QJ KQJT3 high card 1,020 1.64% 1 : 59.8 59.16%
102 Q9 KQT93 high card 1,020 1.64% 1 : 59.8 57.52%
103 Q8 KQT83 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q7 KQT73 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q6 KQT63 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q5 KQT53 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q4 KQT43 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q2 KQT32 high card 1,020 1.64% 1 : 59.8 47.66%
109 J9 KJT93 high card 1,020 1.64% 1 : 59.8 46.02%
110 J8 KJT83 high card 1,020 1.64% 1 : 59.8 44.37%
111 J7 KJT73 high card 1,020 1.64% 1 : 59.8 42.73%
112 J6 KJT63 high card 1,020 1.64% 1 : 59.8 41.09%
113 J5 KJT53 high card 1,020 1.64% 1 : 59.8 39.44%
114 J4 KJT43 high card 1,020 1.64% 1 : 59.8 37.80%
115 J2 KJT32 high card 1,020 1.64% 1 : 59.8 36.16%
116 98 KT983 high card 1,020 1.64% 1 : 59.8 34.51%
117 97 KT973 high card 1,020 1.64% 1 : 59.8 32.87%
118 96 KT963 high card 1,020 1.64% 1 : 59.8 31.23%
119 95 KT953 high card 1,020 1.64% 1 : 59.8 29.58%
120 94 KT943 high card 1,020 1.64% 1 : 59.8 27.94%
121 92 KT932 high card 1,020 1.64% 1 : 59.8 26.30%
122 87 KT873 high card 1,020 1.64% 1 : 59.8 24.65%
123 86 KT863 high card 1,020 1.64% 1 : 59.8 23.01%
124 85 KT853 high card 1,020 1.64% 1 : 59.8 21.37%
125 84 KT843 high card 1,020 1.64% 1 : 59.8 19.72%
126 82 KT832 high card 1,020 1.64% 1 : 59.8 18.08%
127 76 KT763 high card 1,020 1.64% 1 : 59.8 16.43%
128 75 KT753 high card 1,020 1.64% 1 : 59.8 14.79%
129 74 KT743 high card 1,020 1.64% 1 : 59.8 13.15%
130 72 KT732 high card 1,020 1.64% 1 : 59.8 11.50%
131 65 KT653 high card 1,020 1.64% 1 : 59.8 9.86%
132 64 KT643 high card 1,020 1.64% 1 : 59.8 8.22%
133 62 KT632 high card 1,020 1.64% 1 : 59.8 6.57%
134 54 KT543 high card 1,020 1.64% 1 : 59.8 4.93%
135 52 KT532 high card 1,020 1.64% 1 : 59.8 3.29%
136 42 KT432 high card 1,020 1.64% 1 : 59.8 1.64%