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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 AKJT4 flush 4 0.01% 1 : 15515 100.00%
2 AQs AQJT4 flush 4 0.01% 1 : 15515 99.99%
3 A9s AJT94 flush 4 0.01% 1 : 15515 99.99%
4 A8s AJT84 flush 4 0.01% 1 : 15515 99.98%
5 A7s AJT74 flush 4 0.01% 1 : 15515 99.97%
6 A6s AJT64 flush 4 0.01% 1 : 15515 99.97%
7 A5s AJT54 flush 4 0.01% 1 : 15515 99.96%
8 A3s AJT43 flush 4 0.01% 1 : 15515 99.95%
9 A2s AJT42 flush 4 0.01% 1 : 15515 99.95%
10 KQs KQJT4 flush 4 0.01% 1 : 15515 99.94%
11 K9s KJT94 flush 4 0.01% 1 : 15515 99.94%
12 K8s KJT84 flush 4 0.01% 1 : 15515 99.93%
13 K7s KJT74 flush 4 0.01% 1 : 15515 99.92%
14 K6s KJT64 flush 4 0.01% 1 : 15515 99.92%
15 K5s KJT54 flush 4 0.01% 1 : 15515 99.91%
16 K3s KJT43 flush 4 0.01% 1 : 15515 99.90%
17 K2s KJT42 flush 4 0.01% 1 : 15515 99.90%
18 Q9s QJT94 flush 4 0.01% 1 : 15515 99.89%
19 Q8s QJT84 flush 4 0.01% 1 : 15515 99.88%
20 Q7s QJT74 flush 4 0.01% 1 : 15515 99.88%
21 Q6s QJT64 flush 4 0.01% 1 : 15515 99.87%
22 Q5s QJT54 flush 4 0.01% 1 : 15515 99.86%
23 Q3s QJT43 flush 4 0.01% 1 : 15515 99.86%
24 Q2s QJT42 flush 4 0.01% 1 : 15515 99.85%
25 98s JT984 flush 4 0.01% 1 : 15515 99.85%
26 97s JT974 flush 4 0.01% 1 : 15515 99.84%
27 96s JT964 flush 4 0.01% 1 : 15515 99.83%
28 95s JT954 flush 4 0.01% 1 : 15515 99.83%
29 93s JT943 flush 4 0.01% 1 : 15515 99.82%
30 92s JT942 flush 4 0.01% 1 : 15515 99.81%
31 87s JT874 flush 4 0.01% 1 : 15515 99.81%
32 86s JT864 flush 4 0.01% 1 : 15515 99.80%
33 85s JT854 flush 4 0.01% 1 : 15515 99.79%
34 83s JT843 flush 4 0.01% 1 : 15515 99.79%
35 82s JT842 flush 4 0.01% 1 : 15515 99.78%
36 76s JT764 flush 4 0.01% 1 : 15515 99.77%
37 75s JT754 flush 4 0.01% 1 : 15515 99.77%
38 73s JT743 flush 4 0.01% 1 : 15515 99.76%
39 72s JT742 flush 4 0.01% 1 : 15515 99.76%
40 65s JT654 flush 4 0.01% 1 : 15515 99.75%
41 63s JT643 flush 4 0.01% 1 : 15515 99.74%
42 62s JT642 flush 4 0.01% 1 : 15515 99.74%
43 53s JT543 flush 4 0.01% 1 : 15515 99.73%
44 52s JT542 flush 4 0.01% 1 : 15515 99.72%
45 32s JT432 flush 4 0.01% 1 : 15515 99.72%
 
46 JJ JJJT4 three of a kind 64 0.10% 1 : 969 99.71%
47 TT JTTT4 three of a kind 64 0.10% 1 : 969 99.61%
48 44 JT444 three of a kind 64 0.10% 1 : 969 99.50%
 
49 JT JJTT4 two pairs 144 0.23% 1 : 430 99.40%
50 J4 JJT44 two pairs 144 0.23% 1 : 430 99.17%
51 T4 JTT44 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAJT4 one pair 384 0.62% 1 : 161 98.70%
53 KK KKJT4 one pair 384 0.62% 1 : 161 98.09%
54 QQ QQJT4 one pair 384 0.62% 1 : 161 97.47%
55 AJ AJJT4 one pair 384 0.62% 1 : 161 96.85%
56 KJ KJJT4 one pair 384 0.62% 1 : 161 96.23%
57 QJ QJJT4 one pair 384 0.62% 1 : 161 95.61%
58 J9 JJT94 one pair 384 0.62% 1 : 161 94.99%
59 J8 JJT84 one pair 384 0.62% 1 : 161 94.37%
60 J7 JJT74 one pair 384 0.62% 1 : 161 93.75%
61 J6 JJT64 one pair 384 0.62% 1 : 161 93.14%
62 J5 JJT54 one pair 384 0.62% 1 : 161 92.52%
63 J3 JJT43 one pair 384 0.62% 1 : 161 91.90%
64 J2 JJT42 one pair 384 0.62% 1 : 161 91.28%
65 AT AJTT4 one pair 384 0.62% 1 : 161 90.66%
66 KT KJTT4 one pair 384 0.62% 1 : 161 90.04%
67 QT QJTT4 one pair 384 0.62% 1 : 161 89.42%
68 T9 JTT94 one pair 384 0.62% 1 : 161 88.81%
69 T8 JTT84 one pair 384 0.62% 1 : 161 88.19%
70 T7 JTT74 one pair 384 0.62% 1 : 161 87.57%
71 T6 JTT64 one pair 384 0.62% 1 : 161 86.95%
72 T5 JTT54 one pair 384 0.62% 1 : 161 86.33%
73 T3 JTT43 one pair 384 0.62% 1 : 161 85.71%
74 T2 JTT42 one pair 384 0.62% 1 : 161 85.09%
75 99 JT994 one pair 384 0.62% 1 : 161 84.47%
76 88 JT884 one pair 384 0.62% 1 : 161 83.86%
77 77 JT774 one pair 384 0.62% 1 : 161 83.24%
78 66 JT664 one pair 384 0.62% 1 : 161 82.62%
79 55 JT554 one pair 384 0.62% 1 : 161 82.00%
80 A4 AJT44 one pair 384 0.62% 1 : 161 81.38%
81 K4 KJT44 one pair 384 0.62% 1 : 161 80.76%
82 Q4 QJT44 one pair 384 0.62% 1 : 161 80.14%
83 94 JT944 one pair 384 0.62% 1 : 161 79.52%
84 84 JT844 one pair 384 0.62% 1 : 161 78.91%
85 74 JT744 one pair 384 0.62% 1 : 161 78.29%
86 64 JT644 one pair 384 0.62% 1 : 161 77.67%
87 54 JT544 one pair 384 0.62% 1 : 161 77.05%
88 43 JT443 one pair 384 0.62% 1 : 161 76.43%
89 42 JT442 one pair 384 0.62% 1 : 161 75.81%
90 33 JT433 one pair 384 0.62% 1 : 161 75.19%
91 22 JT422 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKJT4 high card 1,020 1.64% 1 : 59.8 73.96%
93 AQ AQJT4 high card 1,020 1.64% 1 : 59.8 72.31%
94 A9 AJT94 high card 1,020 1.64% 1 : 59.8 70.67%
95 A8 AJT84 high card 1,020 1.64% 1 : 59.8 69.03%
96 A7 AJT74 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 AJT64 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 AJT54 high card 1,020 1.64% 1 : 59.8 64.10%
99 A3 AJT43 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AJT42 high card 1,020 1.64% 1 : 59.8 60.81%
101 KQ KQJT4 high card 1,020 1.64% 1 : 59.8 59.16%
102 K9 KJT94 high card 1,020 1.64% 1 : 59.8 57.52%
103 K8 KJT84 high card 1,020 1.64% 1 : 59.8 55.88%
104 K7 KJT74 high card 1,020 1.64% 1 : 59.8 54.23%
105 K6 KJT64 high card 1,020 1.64% 1 : 59.8 52.59%
106 K5 KJT54 high card 1,020 1.64% 1 : 59.8 50.95%
107 K3 KJT43 high card 1,020 1.64% 1 : 59.8 49.30%
108 K2 KJT42 high card 1,020 1.64% 1 : 59.8 47.66%
109 Q9 QJT94 high card 1,020 1.64% 1 : 59.8 46.02%
110 Q8 QJT84 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q7 QJT74 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q6 QJT64 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q5 QJT54 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q3 QJT43 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q2 QJT42 high card 1,020 1.64% 1 : 59.8 36.16%
116 98 JT984 high card 1,020 1.64% 1 : 59.8 34.51%
117 97 JT974 high card 1,020 1.64% 1 : 59.8 32.87%
118 96 JT964 high card 1,020 1.64% 1 : 59.8 31.23%
119 95 JT954 high card 1,020 1.64% 1 : 59.8 29.58%
120 93 JT943 high card 1,020 1.64% 1 : 59.8 27.94%
121 92 JT942 high card 1,020 1.64% 1 : 59.8 26.30%
122 87 JT874 high card 1,020 1.64% 1 : 59.8 24.65%
123 86 JT864 high card 1,020 1.64% 1 : 59.8 23.01%
124 85 JT854 high card 1,020 1.64% 1 : 59.8 21.37%
125 83 JT843 high card 1,020 1.64% 1 : 59.8 19.72%
126 82 JT842 high card 1,020 1.64% 1 : 59.8 18.08%
127 76 JT764 high card 1,020 1.64% 1 : 59.8 16.43%
128 75 JT754 high card 1,020 1.64% 1 : 59.8 14.79%
129 73 JT743 high card 1,020 1.64% 1 : 59.8 13.15%
130 72 JT742 high card 1,020 1.64% 1 : 59.8 11.50%
131 65 JT654 high card 1,020 1.64% 1 : 59.8 9.86%
132 63 JT643 high card 1,020 1.64% 1 : 59.8 8.22%
133 62 JT642 high card 1,020 1.64% 1 : 59.8 6.57%
134 53 JT543 high card 1,020 1.64% 1 : 59.8 4.93%
135 52 JT542 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 JT432 high card 1,020 1.64% 1 : 59.8 1.64%