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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 AKJT5 flush 4 0.01% 1 : 15515 100.00%
2 AQs AQJT5 flush 4 0.01% 1 : 15515 99.99%
3 A9s AJT95 flush 4 0.01% 1 : 15515 99.99%
4 A8s AJT85 flush 4 0.01% 1 : 15515 99.98%
5 A7s AJT75 flush 4 0.01% 1 : 15515 99.97%
6 A6s AJT65 flush 4 0.01% 1 : 15515 99.97%
7 A4s AJT54 flush 4 0.01% 1 : 15515 99.96%
8 A3s AJT53 flush 4 0.01% 1 : 15515 99.95%
9 A2s AJT52 flush 4 0.01% 1 : 15515 99.95%
10 KQs KQJT5 flush 4 0.01% 1 : 15515 99.94%
11 K9s KJT95 flush 4 0.01% 1 : 15515 99.94%
12 K8s KJT85 flush 4 0.01% 1 : 15515 99.93%
13 K7s KJT75 flush 4 0.01% 1 : 15515 99.92%
14 K6s KJT65 flush 4 0.01% 1 : 15515 99.92%
15 K4s KJT54 flush 4 0.01% 1 : 15515 99.91%
16 K3s KJT53 flush 4 0.01% 1 : 15515 99.90%
17 K2s KJT52 flush 4 0.01% 1 : 15515 99.90%
18 Q9s QJT95 flush 4 0.01% 1 : 15515 99.89%
19 Q8s QJT85 flush 4 0.01% 1 : 15515 99.88%
20 Q7s QJT75 flush 4 0.01% 1 : 15515 99.88%
21 Q6s QJT65 flush 4 0.01% 1 : 15515 99.87%
22 Q4s QJT54 flush 4 0.01% 1 : 15515 99.86%
23 Q3s QJT53 flush 4 0.01% 1 : 15515 99.86%
24 Q2s QJT52 flush 4 0.01% 1 : 15515 99.85%
25 98s JT985 flush 4 0.01% 1 : 15515 99.85%
26 97s JT975 flush 4 0.01% 1 : 15515 99.84%
27 96s JT965 flush 4 0.01% 1 : 15515 99.83%
28 94s JT954 flush 4 0.01% 1 : 15515 99.83%
29 93s JT953 flush 4 0.01% 1 : 15515 99.82%
30 92s JT952 flush 4 0.01% 1 : 15515 99.81%
31 87s JT875 flush 4 0.01% 1 : 15515 99.81%
32 86s JT865 flush 4 0.01% 1 : 15515 99.80%
33 84s JT854 flush 4 0.01% 1 : 15515 99.79%
34 83s JT853 flush 4 0.01% 1 : 15515 99.79%
35 82s JT852 flush 4 0.01% 1 : 15515 99.78%
36 76s JT765 flush 4 0.01% 1 : 15515 99.77%
37 74s JT754 flush 4 0.01% 1 : 15515 99.77%
38 73s JT753 flush 4 0.01% 1 : 15515 99.76%
39 72s JT752 flush 4 0.01% 1 : 15515 99.76%
40 64s JT654 flush 4 0.01% 1 : 15515 99.75%
41 63s JT653 flush 4 0.01% 1 : 15515 99.74%
42 62s JT652 flush 4 0.01% 1 : 15515 99.74%
43 43s JT543 flush 4 0.01% 1 : 15515 99.73%
44 42s JT542 flush 4 0.01% 1 : 15515 99.72%
45 32s JT532 flush 4 0.01% 1 : 15515 99.72%
 
46 JJ JJJT5 three of a kind 64 0.10% 1 : 969 99.71%
47 TT JTTT5 three of a kind 64 0.10% 1 : 969 99.61%
48 55 JT555 three of a kind 64 0.10% 1 : 969 99.50%
 
49 JT JJTT5 two pairs 144 0.23% 1 : 430 99.40%
50 J5 JJT55 two pairs 144 0.23% 1 : 430 99.17%
51 T5 JTT55 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAJT5 one pair 384 0.62% 1 : 161 98.70%
53 KK KKJT5 one pair 384 0.62% 1 : 161 98.09%
54 QQ QQJT5 one pair 384 0.62% 1 : 161 97.47%
55 AJ AJJT5 one pair 384 0.62% 1 : 161 96.85%
56 KJ KJJT5 one pair 384 0.62% 1 : 161 96.23%
57 QJ QJJT5 one pair 384 0.62% 1 : 161 95.61%
58 J9 JJT95 one pair 384 0.62% 1 : 161 94.99%
59 J8 JJT85 one pair 384 0.62% 1 : 161 94.37%
60 J7 JJT75 one pair 384 0.62% 1 : 161 93.75%
61 J6 JJT65 one pair 384 0.62% 1 : 161 93.14%
62 J4 JJT54 one pair 384 0.62% 1 : 161 92.52%
63 J3 JJT53 one pair 384 0.62% 1 : 161 91.90%
64 J2 JJT52 one pair 384 0.62% 1 : 161 91.28%
65 AT AJTT5 one pair 384 0.62% 1 : 161 90.66%
66 KT KJTT5 one pair 384 0.62% 1 : 161 90.04%
67 QT QJTT5 one pair 384 0.62% 1 : 161 89.42%
68 T9 JTT95 one pair 384 0.62% 1 : 161 88.81%
69 T8 JTT85 one pair 384 0.62% 1 : 161 88.19%
70 T7 JTT75 one pair 384 0.62% 1 : 161 87.57%
71 T6 JTT65 one pair 384 0.62% 1 : 161 86.95%
72 T4 JTT54 one pair 384 0.62% 1 : 161 86.33%
73 T3 JTT53 one pair 384 0.62% 1 : 161 85.71%
74 T2 JTT52 one pair 384 0.62% 1 : 161 85.09%
75 99 JT995 one pair 384 0.62% 1 : 161 84.47%
76 88 JT885 one pair 384 0.62% 1 : 161 83.86%
77 77 JT775 one pair 384 0.62% 1 : 161 83.24%
78 66 JT665 one pair 384 0.62% 1 : 161 82.62%
79 A5 AJT55 one pair 384 0.62% 1 : 161 82.00%
80 K5 KJT55 one pair 384 0.62% 1 : 161 81.38%
81 Q5 QJT55 one pair 384 0.62% 1 : 161 80.76%
82 95 JT955 one pair 384 0.62% 1 : 161 80.14%
83 85 JT855 one pair 384 0.62% 1 : 161 79.52%
84 75 JT755 one pair 384 0.62% 1 : 161 78.91%
85 65 JT655 one pair 384 0.62% 1 : 161 78.29%
86 54 JT554 one pair 384 0.62% 1 : 161 77.67%
87 53 JT553 one pair 384 0.62% 1 : 161 77.05%
88 52 JT552 one pair 384 0.62% 1 : 161 76.43%
89 44 JT544 one pair 384 0.62% 1 : 161 75.81%
90 33 JT533 one pair 384 0.62% 1 : 161 75.19%
91 22 JT522 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKJT5 high card 1,020 1.64% 1 : 59.8 73.96%
93 AQ AQJT5 high card 1,020 1.64% 1 : 59.8 72.31%
94 A9 AJT95 high card 1,020 1.64% 1 : 59.8 70.67%
95 A8 AJT85 high card 1,020 1.64% 1 : 59.8 69.03%
96 A7 AJT75 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 AJT65 high card 1,020 1.64% 1 : 59.8 65.74%
98 A4 AJT54 high card 1,020 1.64% 1 : 59.8 64.10%
99 A3 AJT53 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AJT52 high card 1,020 1.64% 1 : 59.8 60.81%
101 KQ KQJT5 high card 1,020 1.64% 1 : 59.8 59.16%
102 K9 KJT95 high card 1,020 1.64% 1 : 59.8 57.52%
103 K8 KJT85 high card 1,020 1.64% 1 : 59.8 55.88%
104 K7 KJT75 high card 1,020 1.64% 1 : 59.8 54.23%
105 K6 KJT65 high card 1,020 1.64% 1 : 59.8 52.59%
106 K4 KJT54 high card 1,020 1.64% 1 : 59.8 50.95%
107 K3 KJT53 high card 1,020 1.64% 1 : 59.8 49.30%
108 K2 KJT52 high card 1,020 1.64% 1 : 59.8 47.66%
109 Q9 QJT95 high card 1,020 1.64% 1 : 59.8 46.02%
110 Q8 QJT85 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q7 QJT75 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q6 QJT65 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q4 QJT54 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q3 QJT53 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q2 QJT52 high card 1,020 1.64% 1 : 59.8 36.16%
116 98 JT985 high card 1,020 1.64% 1 : 59.8 34.51%
117 97 JT975 high card 1,020 1.64% 1 : 59.8 32.87%
118 96 JT965 high card 1,020 1.64% 1 : 59.8 31.23%
119 94 JT954 high card 1,020 1.64% 1 : 59.8 29.58%
120 93 JT953 high card 1,020 1.64% 1 : 59.8 27.94%
121 92 JT952 high card 1,020 1.64% 1 : 59.8 26.30%
122 87 JT875 high card 1,020 1.64% 1 : 59.8 24.65%
123 86 JT865 high card 1,020 1.64% 1 : 59.8 23.01%
124 84 JT854 high card 1,020 1.64% 1 : 59.8 21.37%
125 83 JT853 high card 1,020 1.64% 1 : 59.8 19.72%
126 82 JT852 high card 1,020 1.64% 1 : 59.8 18.08%
127 76 JT765 high card 1,020 1.64% 1 : 59.8 16.43%
128 74 JT754 high card 1,020 1.64% 1 : 59.8 14.79%
129 73 JT753 high card 1,020 1.64% 1 : 59.8 13.15%
130 72 JT752 high card 1,020 1.64% 1 : 59.8 11.50%
131 64 JT654 high card 1,020 1.64% 1 : 59.8 9.86%
132 63 JT653 high card 1,020 1.64% 1 : 59.8 8.22%
133 62 JT652 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 JT543 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 JT542 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 JT532 high card 1,020 1.64% 1 : 59.8 1.64%