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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 AKJT3 flush 4 0.01% 1 : 15515 100.00%
2 AQs AQJT3 flush 4 0.01% 1 : 15515 99.99%
3 A9s AJT93 flush 4 0.01% 1 : 15515 99.99%
4 A8s AJT83 flush 4 0.01% 1 : 15515 99.98%
5 A7s AJT73 flush 4 0.01% 1 : 15515 99.97%
6 A6s AJT63 flush 4 0.01% 1 : 15515 99.97%
7 A5s AJT53 flush 4 0.01% 1 : 15515 99.96%
8 A4s AJT43 flush 4 0.01% 1 : 15515 99.95%
9 A2s AJT32 flush 4 0.01% 1 : 15515 99.95%
10 KQs KQJT3 flush 4 0.01% 1 : 15515 99.94%
11 K9s KJT93 flush 4 0.01% 1 : 15515 99.94%
12 K8s KJT83 flush 4 0.01% 1 : 15515 99.93%
13 K7s KJT73 flush 4 0.01% 1 : 15515 99.92%
14 K6s KJT63 flush 4 0.01% 1 : 15515 99.92%
15 K5s KJT53 flush 4 0.01% 1 : 15515 99.91%
16 K4s KJT43 flush 4 0.01% 1 : 15515 99.90%
17 K2s KJT32 flush 4 0.01% 1 : 15515 99.90%
18 Q9s QJT93 flush 4 0.01% 1 : 15515 99.89%
19 Q8s QJT83 flush 4 0.01% 1 : 15515 99.88%
20 Q7s QJT73 flush 4 0.01% 1 : 15515 99.88%
21 Q6s QJT63 flush 4 0.01% 1 : 15515 99.87%
22 Q5s QJT53 flush 4 0.01% 1 : 15515 99.86%
23 Q4s QJT43 flush 4 0.01% 1 : 15515 99.86%
24 Q2s QJT32 flush 4 0.01% 1 : 15515 99.85%
25 98s JT983 flush 4 0.01% 1 : 15515 99.85%
26 97s JT973 flush 4 0.01% 1 : 15515 99.84%
27 96s JT963 flush 4 0.01% 1 : 15515 99.83%
28 95s JT953 flush 4 0.01% 1 : 15515 99.83%
29 94s JT943 flush 4 0.01% 1 : 15515 99.82%
30 92s JT932 flush 4 0.01% 1 : 15515 99.81%
31 87s JT873 flush 4 0.01% 1 : 15515 99.81%
32 86s JT863 flush 4 0.01% 1 : 15515 99.80%
33 85s JT853 flush 4 0.01% 1 : 15515 99.79%
34 84s JT843 flush 4 0.01% 1 : 15515 99.79%
35 82s JT832 flush 4 0.01% 1 : 15515 99.78%
36 76s JT763 flush 4 0.01% 1 : 15515 99.77%
37 75s JT753 flush 4 0.01% 1 : 15515 99.77%
38 74s JT743 flush 4 0.01% 1 : 15515 99.76%
39 72s JT732 flush 4 0.01% 1 : 15515 99.76%
40 65s JT653 flush 4 0.01% 1 : 15515 99.75%
41 64s JT643 flush 4 0.01% 1 : 15515 99.74%
42 62s JT632 flush 4 0.01% 1 : 15515 99.74%
43 54s JT543 flush 4 0.01% 1 : 15515 99.73%
44 52s JT532 flush 4 0.01% 1 : 15515 99.72%
45 42s JT432 flush 4 0.01% 1 : 15515 99.72%
 
46 JJ JJJT3 three of a kind 64 0.10% 1 : 969 99.71%
47 TT JTTT3 three of a kind 64 0.10% 1 : 969 99.61%
48 33 JT333 three of a kind 64 0.10% 1 : 969 99.50%
 
49 JT JJTT3 two pairs 144 0.23% 1 : 430 99.40%
50 J3 JJT33 two pairs 144 0.23% 1 : 430 99.17%
51 T3 JTT33 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAJT3 one pair 384 0.62% 1 : 161 98.70%
53 KK KKJT3 one pair 384 0.62% 1 : 161 98.09%
54 QQ QQJT3 one pair 384 0.62% 1 : 161 97.47%
55 AJ AJJT3 one pair 384 0.62% 1 : 161 96.85%
56 KJ KJJT3 one pair 384 0.62% 1 : 161 96.23%
57 QJ QJJT3 one pair 384 0.62% 1 : 161 95.61%
58 J9 JJT93 one pair 384 0.62% 1 : 161 94.99%
59 J8 JJT83 one pair 384 0.62% 1 : 161 94.37%
60 J7 JJT73 one pair 384 0.62% 1 : 161 93.75%
61 J6 JJT63 one pair 384 0.62% 1 : 161 93.14%
62 J5 JJT53 one pair 384 0.62% 1 : 161 92.52%
63 J4 JJT43 one pair 384 0.62% 1 : 161 91.90%
64 J2 JJT32 one pair 384 0.62% 1 : 161 91.28%
65 AT AJTT3 one pair 384 0.62% 1 : 161 90.66%
66 KT KJTT3 one pair 384 0.62% 1 : 161 90.04%
67 QT QJTT3 one pair 384 0.62% 1 : 161 89.42%
68 T9 JTT93 one pair 384 0.62% 1 : 161 88.81%
69 T8 JTT83 one pair 384 0.62% 1 : 161 88.19%
70 T7 JTT73 one pair 384 0.62% 1 : 161 87.57%
71 T6 JTT63 one pair 384 0.62% 1 : 161 86.95%
72 T5 JTT53 one pair 384 0.62% 1 : 161 86.33%
73 T4 JTT43 one pair 384 0.62% 1 : 161 85.71%
74 T2 JTT32 one pair 384 0.62% 1 : 161 85.09%
75 99 JT993 one pair 384 0.62% 1 : 161 84.47%
76 88 JT883 one pair 384 0.62% 1 : 161 83.86%
77 77 JT773 one pair 384 0.62% 1 : 161 83.24%
78 66 JT663 one pair 384 0.62% 1 : 161 82.62%
79 55 JT553 one pair 384 0.62% 1 : 161 82.00%
80 44 JT443 one pair 384 0.62% 1 : 161 81.38%
81 A3 AJT33 one pair 384 0.62% 1 : 161 80.76%
82 K3 KJT33 one pair 384 0.62% 1 : 161 80.14%
83 Q3 QJT33 one pair 384 0.62% 1 : 161 79.52%
84 93 JT933 one pair 384 0.62% 1 : 161 78.91%
85 83 JT833 one pair 384 0.62% 1 : 161 78.29%
86 73 JT733 one pair 384 0.62% 1 : 161 77.67%
87 63 JT633 one pair 384 0.62% 1 : 161 77.05%
88 53 JT533 one pair 384 0.62% 1 : 161 76.43%
89 43 JT433 one pair 384 0.62% 1 : 161 75.81%
90 32 JT332 one pair 384 0.62% 1 : 161 75.19%
91 22 JT322 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKJT3 high card 1,020 1.64% 1 : 59.8 73.96%
93 AQ AQJT3 high card 1,020 1.64% 1 : 59.8 72.31%
94 A9 AJT93 high card 1,020 1.64% 1 : 59.8 70.67%
95 A8 AJT83 high card 1,020 1.64% 1 : 59.8 69.03%
96 A7 AJT73 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 AJT63 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 AJT53 high card 1,020 1.64% 1 : 59.8 64.10%
99 A4 AJT43 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AJT32 high card 1,020 1.64% 1 : 59.8 60.81%
101 KQ KQJT3 high card 1,020 1.64% 1 : 59.8 59.16%
102 K9 KJT93 high card 1,020 1.64% 1 : 59.8 57.52%
103 K8 KJT83 high card 1,020 1.64% 1 : 59.8 55.88%
104 K7 KJT73 high card 1,020 1.64% 1 : 59.8 54.23%
105 K6 KJT63 high card 1,020 1.64% 1 : 59.8 52.59%
106 K5 KJT53 high card 1,020 1.64% 1 : 59.8 50.95%
107 K4 KJT43 high card 1,020 1.64% 1 : 59.8 49.30%
108 K2 KJT32 high card 1,020 1.64% 1 : 59.8 47.66%
109 Q9 QJT93 high card 1,020 1.64% 1 : 59.8 46.02%
110 Q8 QJT83 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q7 QJT73 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q6 QJT63 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q5 QJT53 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q4 QJT43 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q2 QJT32 high card 1,020 1.64% 1 : 59.8 36.16%
116 98 JT983 high card 1,020 1.64% 1 : 59.8 34.51%
117 97 JT973 high card 1,020 1.64% 1 : 59.8 32.87%
118 96 JT963 high card 1,020 1.64% 1 : 59.8 31.23%
119 95 JT953 high card 1,020 1.64% 1 : 59.8 29.58%
120 94 JT943 high card 1,020 1.64% 1 : 59.8 27.94%
121 92 JT932 high card 1,020 1.64% 1 : 59.8 26.30%
122 87 JT873 high card 1,020 1.64% 1 : 59.8 24.65%
123 86 JT863 high card 1,020 1.64% 1 : 59.8 23.01%
124 85 JT853 high card 1,020 1.64% 1 : 59.8 21.37%
125 84 JT843 high card 1,020 1.64% 1 : 59.8 19.72%
126 82 JT832 high card 1,020 1.64% 1 : 59.8 18.08%
127 76 JT763 high card 1,020 1.64% 1 : 59.8 16.43%
128 75 JT753 high card 1,020 1.64% 1 : 59.8 14.79%
129 74 JT743 high card 1,020 1.64% 1 : 59.8 13.15%
130 72 JT732 high card 1,020 1.64% 1 : 59.8 11.50%
131 65 JT653 high card 1,020 1.64% 1 : 59.8 9.86%
132 64 JT643 high card 1,020 1.64% 1 : 59.8 8.22%
133 62 JT632 high card 1,020 1.64% 1 : 59.8 6.57%
134 54 JT543 high card 1,020 1.64% 1 : 59.8 4.93%
135 52 JT532 high card 1,020 1.64% 1 : 59.8 3.29%
136 42 JT432 high card 1,020 1.64% 1 : 59.8 1.64%