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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 AKQJ4 flush 4 0.01% 1 : 15515 100.00%
2 ATs AQJT4 flush 4 0.01% 1 : 15515 99.99%
3 A9s AQJ94 flush 4 0.01% 1 : 15515 99.99%
4 A8s AQJ84 flush 4 0.01% 1 : 15515 99.98%
5 A7s AQJ74 flush 4 0.01% 1 : 15515 99.97%
6 A6s AQJ64 flush 4 0.01% 1 : 15515 99.97%
7 A5s AQJ54 flush 4 0.01% 1 : 15515 99.96%
8 A3s AQJ43 flush 4 0.01% 1 : 15515 99.95%
9 A2s AQJ42 flush 4 0.01% 1 : 15515 99.95%
10 KTs KQJT4 flush 4 0.01% 1 : 15515 99.94%
11 K9s KQJ94 flush 4 0.01% 1 : 15515 99.94%
12 K8s KQJ84 flush 4 0.01% 1 : 15515 99.93%
13 K7s KQJ74 flush 4 0.01% 1 : 15515 99.92%
14 K6s KQJ64 flush 4 0.01% 1 : 15515 99.92%
15 K5s KQJ54 flush 4 0.01% 1 : 15515 99.91%
16 K3s KQJ43 flush 4 0.01% 1 : 15515 99.90%
17 K2s KQJ42 flush 4 0.01% 1 : 15515 99.90%
18 T9s QJT94 flush 4 0.01% 1 : 15515 99.89%
19 T8s QJT84 flush 4 0.01% 1 : 15515 99.88%
20 T7s QJT74 flush 4 0.01% 1 : 15515 99.88%
21 T6s QJT64 flush 4 0.01% 1 : 15515 99.87%
22 T5s QJT54 flush 4 0.01% 1 : 15515 99.86%
23 T3s QJT43 flush 4 0.01% 1 : 15515 99.86%
24 T2s QJT42 flush 4 0.01% 1 : 15515 99.85%
25 98s QJ984 flush 4 0.01% 1 : 15515 99.85%
26 97s QJ974 flush 4 0.01% 1 : 15515 99.84%
27 96s QJ964 flush 4 0.01% 1 : 15515 99.83%
28 95s QJ954 flush 4 0.01% 1 : 15515 99.83%
29 93s QJ943 flush 4 0.01% 1 : 15515 99.82%
30 92s QJ942 flush 4 0.01% 1 : 15515 99.81%
31 87s QJ874 flush 4 0.01% 1 : 15515 99.81%
32 86s QJ864 flush 4 0.01% 1 : 15515 99.80%
33 85s QJ854 flush 4 0.01% 1 : 15515 99.79%
34 83s QJ843 flush 4 0.01% 1 : 15515 99.79%
35 82s QJ842 flush 4 0.01% 1 : 15515 99.78%
36 76s QJ764 flush 4 0.01% 1 : 15515 99.77%
37 75s QJ754 flush 4 0.01% 1 : 15515 99.77%
38 73s QJ743 flush 4 0.01% 1 : 15515 99.76%
39 72s QJ742 flush 4 0.01% 1 : 15515 99.76%
40 65s QJ654 flush 4 0.01% 1 : 15515 99.75%
41 63s QJ643 flush 4 0.01% 1 : 15515 99.74%
42 62s QJ642 flush 4 0.01% 1 : 15515 99.74%
43 53s QJ543 flush 4 0.01% 1 : 15515 99.73%
44 52s QJ542 flush 4 0.01% 1 : 15515 99.72%
45 32s QJ432 flush 4 0.01% 1 : 15515 99.72%
 
46 QQ QQQJ4 three of a kind 64 0.10% 1 : 969 99.71%
47 JJ QJJJ4 three of a kind 64 0.10% 1 : 969 99.61%
48 44 QJ444 three of a kind 64 0.10% 1 : 969 99.50%
 
49 QJ QQJJ4 two pairs 144 0.23% 1 : 430 99.40%
50 Q4 QQJ44 two pairs 144 0.23% 1 : 430 99.17%
51 J4 QJJ44 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAQJ4 one pair 384 0.62% 1 : 161 98.70%
53 KK KKQJ4 one pair 384 0.62% 1 : 161 98.09%
54 AQ AQQJ4 one pair 384 0.62% 1 : 161 97.47%
55 KQ KQQJ4 one pair 384 0.62% 1 : 161 96.85%
56 QT QQJT4 one pair 384 0.62% 1 : 161 96.23%
57 Q9 QQJ94 one pair 384 0.62% 1 : 161 95.61%
58 Q8 QQJ84 one pair 384 0.62% 1 : 161 94.99%
59 Q7 QQJ74 one pair 384 0.62% 1 : 161 94.37%
60 Q6 QQJ64 one pair 384 0.62% 1 : 161 93.75%
61 Q5 QQJ54 one pair 384 0.62% 1 : 161 93.14%
62 Q3 QQJ43 one pair 384 0.62% 1 : 161 92.52%
63 Q2 QQJ42 one pair 384 0.62% 1 : 161 91.90%
64 AJ AQJJ4 one pair 384 0.62% 1 : 161 91.28%
65 KJ KQJJ4 one pair 384 0.62% 1 : 161 90.66%
66 JT QJJT4 one pair 384 0.62% 1 : 161 90.04%
67 J9 QJJ94 one pair 384 0.62% 1 : 161 89.42%
68 J8 QJJ84 one pair 384 0.62% 1 : 161 88.81%
69 J7 QJJ74 one pair 384 0.62% 1 : 161 88.19%
70 J6 QJJ64 one pair 384 0.62% 1 : 161 87.57%
71 J5 QJJ54 one pair 384 0.62% 1 : 161 86.95%
72 J3 QJJ43 one pair 384 0.62% 1 : 161 86.33%
73 J2 QJJ42 one pair 384 0.62% 1 : 161 85.71%
74 TT QJTT4 one pair 384 0.62% 1 : 161 85.09%
75 99 QJ994 one pair 384 0.62% 1 : 161 84.47%
76 88 QJ884 one pair 384 0.62% 1 : 161 83.86%
77 77 QJ774 one pair 384 0.62% 1 : 161 83.24%
78 66 QJ664 one pair 384 0.62% 1 : 161 82.62%
79 55 QJ554 one pair 384 0.62% 1 : 161 82.00%
80 A4 AQJ44 one pair 384 0.62% 1 : 161 81.38%
81 K4 KQJ44 one pair 384 0.62% 1 : 161 80.76%
82 T4 QJT44 one pair 384 0.62% 1 : 161 80.14%
83 94 QJ944 one pair 384 0.62% 1 : 161 79.52%
84 84 QJ844 one pair 384 0.62% 1 : 161 78.91%
85 74 QJ744 one pair 384 0.62% 1 : 161 78.29%
86 64 QJ644 one pair 384 0.62% 1 : 161 77.67%
87 54 QJ544 one pair 384 0.62% 1 : 161 77.05%
88 43 QJ443 one pair 384 0.62% 1 : 161 76.43%
89 42 QJ442 one pair 384 0.62% 1 : 161 75.81%
90 33 QJ433 one pair 384 0.62% 1 : 161 75.19%
91 22 QJ422 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKQJ4 high card 1,020 1.64% 1 : 59.8 73.96%
93 AT AQJT4 high card 1,020 1.64% 1 : 59.8 72.31%
94 A9 AQJ94 high card 1,020 1.64% 1 : 59.8 70.67%
95 A8 AQJ84 high card 1,020 1.64% 1 : 59.8 69.03%
96 A7 AQJ74 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 AQJ64 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 AQJ54 high card 1,020 1.64% 1 : 59.8 64.10%
99 A3 AQJ43 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AQJ42 high card 1,020 1.64% 1 : 59.8 60.81%
101 KT KQJT4 high card 1,020 1.64% 1 : 59.8 59.16%
102 K9 KQJ94 high card 1,020 1.64% 1 : 59.8 57.52%
103 K8 KQJ84 high card 1,020 1.64% 1 : 59.8 55.88%
104 K7 KQJ74 high card 1,020 1.64% 1 : 59.8 54.23%
105 K6 KQJ64 high card 1,020 1.64% 1 : 59.8 52.59%
106 K5 KQJ54 high card 1,020 1.64% 1 : 59.8 50.95%
107 K3 KQJ43 high card 1,020 1.64% 1 : 59.8 49.30%
108 K2 KQJ42 high card 1,020 1.64% 1 : 59.8 47.66%
109 T9 QJT94 high card 1,020 1.64% 1 : 59.8 46.02%
110 T8 QJT84 high card 1,020 1.64% 1 : 59.8 44.37%
111 T7 QJT74 high card 1,020 1.64% 1 : 59.8 42.73%
112 T6 QJT64 high card 1,020 1.64% 1 : 59.8 41.09%
113 T5 QJT54 high card 1,020 1.64% 1 : 59.8 39.44%
114 T3 QJT43 high card 1,020 1.64% 1 : 59.8 37.80%
115 T2 QJT42 high card 1,020 1.64% 1 : 59.8 36.16%
116 98 QJ984 high card 1,020 1.64% 1 : 59.8 34.51%
117 97 QJ974 high card 1,020 1.64% 1 : 59.8 32.87%
118 96 QJ964 high card 1,020 1.64% 1 : 59.8 31.23%
119 95 QJ954 high card 1,020 1.64% 1 : 59.8 29.58%
120 93 QJ943 high card 1,020 1.64% 1 : 59.8 27.94%
121 92 QJ942 high card 1,020 1.64% 1 : 59.8 26.30%
122 87 QJ874 high card 1,020 1.64% 1 : 59.8 24.65%
123 86 QJ864 high card 1,020 1.64% 1 : 59.8 23.01%
124 85 QJ854 high card 1,020 1.64% 1 : 59.8 21.37%
125 83 QJ843 high card 1,020 1.64% 1 : 59.8 19.72%
126 82 QJ842 high card 1,020 1.64% 1 : 59.8 18.08%
127 76 QJ764 high card 1,020 1.64% 1 : 59.8 16.43%
128 75 QJ754 high card 1,020 1.64% 1 : 59.8 14.79%
129 73 QJ743 high card 1,020 1.64% 1 : 59.8 13.15%
130 72 QJ742 high card 1,020 1.64% 1 : 59.8 11.50%
131 65 QJ654 high card 1,020 1.64% 1 : 59.8 9.86%
132 63 QJ643 high card 1,020 1.64% 1 : 59.8 8.22%
133 62 QJ642 high card 1,020 1.64% 1 : 59.8 6.57%
134 53 QJ543 high card 1,020 1.64% 1 : 59.8 4.93%
135 52 QJ542 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 QJ432 high card 1,020 1.64% 1 : 59.8 1.64%