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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 AQs AKQT4 flush 4 0.01% 1 : 15515 100.00%
2 AJs AKJT4 flush 4 0.01% 1 : 15515 99.99%
3 A9s AKT94 flush 4 0.01% 1 : 15515 99.99%
4 A8s AKT84 flush 4 0.01% 1 : 15515 99.98%
5 A7s AKT74 flush 4 0.01% 1 : 15515 99.97%
6 A6s AKT64 flush 4 0.01% 1 : 15515 99.97%
7 A5s AKT54 flush 4 0.01% 1 : 15515 99.96%
8 A3s AKT43 flush 4 0.01% 1 : 15515 99.95%
9 A2s AKT42 flush 4 0.01% 1 : 15515 99.95%
10 QJs KQJT4 flush 4 0.01% 1 : 15515 99.94%
11 Q9s KQT94 flush 4 0.01% 1 : 15515 99.94%
12 Q8s KQT84 flush 4 0.01% 1 : 15515 99.93%
13 Q7s KQT74 flush 4 0.01% 1 : 15515 99.92%
14 Q6s KQT64 flush 4 0.01% 1 : 15515 99.92%
15 Q5s KQT54 flush 4 0.01% 1 : 15515 99.91%
16 Q3s KQT43 flush 4 0.01% 1 : 15515 99.90%
17 Q2s KQT42 flush 4 0.01% 1 : 15515 99.90%
18 J9s KJT94 flush 4 0.01% 1 : 15515 99.89%
19 J8s KJT84 flush 4 0.01% 1 : 15515 99.88%
20 J7s KJT74 flush 4 0.01% 1 : 15515 99.88%
21 J6s KJT64 flush 4 0.01% 1 : 15515 99.87%
22 J5s KJT54 flush 4 0.01% 1 : 15515 99.86%
23 J3s KJT43 flush 4 0.01% 1 : 15515 99.86%
24 J2s KJT42 flush 4 0.01% 1 : 15515 99.85%
25 98s KT984 flush 4 0.01% 1 : 15515 99.85%
26 97s KT974 flush 4 0.01% 1 : 15515 99.84%
27 96s KT964 flush 4 0.01% 1 : 15515 99.83%
28 95s KT954 flush 4 0.01% 1 : 15515 99.83%
29 93s KT943 flush 4 0.01% 1 : 15515 99.82%
30 92s KT942 flush 4 0.01% 1 : 15515 99.81%
31 87s KT874 flush 4 0.01% 1 : 15515 99.81%
32 86s KT864 flush 4 0.01% 1 : 15515 99.80%
33 85s KT854 flush 4 0.01% 1 : 15515 99.79%
34 83s KT843 flush 4 0.01% 1 : 15515 99.79%
35 82s KT842 flush 4 0.01% 1 : 15515 99.78%
36 76s KT764 flush 4 0.01% 1 : 15515 99.77%
37 75s KT754 flush 4 0.01% 1 : 15515 99.77%
38 73s KT743 flush 4 0.01% 1 : 15515 99.76%
39 72s KT742 flush 4 0.01% 1 : 15515 99.76%
40 65s KT654 flush 4 0.01% 1 : 15515 99.75%
41 63s KT643 flush 4 0.01% 1 : 15515 99.74%
42 62s KT642 flush 4 0.01% 1 : 15515 99.74%
43 53s KT543 flush 4 0.01% 1 : 15515 99.73%
44 52s KT542 flush 4 0.01% 1 : 15515 99.72%
45 32s KT432 flush 4 0.01% 1 : 15515 99.72%
 
46 KK KKKT4 three of a kind 64 0.10% 1 : 969 99.71%
47 TT KTTT4 three of a kind 64 0.10% 1 : 969 99.61%
48 44 KT444 three of a kind 64 0.10% 1 : 969 99.50%
 
49 KT KKTT4 two pairs 144 0.23% 1 : 430 99.40%
50 K4 KKT44 two pairs 144 0.23% 1 : 430 99.17%
51 T4 KTT44 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAKT4 one pair 384 0.62% 1 : 161 98.70%
53 AK AKKT4 one pair 384 0.62% 1 : 161 98.09%
54 KQ KKQT4 one pair 384 0.62% 1 : 161 97.47%
55 KJ KKJT4 one pair 384 0.62% 1 : 161 96.85%
56 K9 KKT94 one pair 384 0.62% 1 : 161 96.23%
57 K8 KKT84 one pair 384 0.62% 1 : 161 95.61%
58 K7 KKT74 one pair 384 0.62% 1 : 161 94.99%
59 K6 KKT64 one pair 384 0.62% 1 : 161 94.37%
60 K5 KKT54 one pair 384 0.62% 1 : 161 93.75%
61 K3 KKT43 one pair 384 0.62% 1 : 161 93.14%
62 K2 KKT42 one pair 384 0.62% 1 : 161 92.52%
63 QQ KQQT4 one pair 384 0.62% 1 : 161 91.90%
64 JJ KJJT4 one pair 384 0.62% 1 : 161 91.28%
65 AT AKTT4 one pair 384 0.62% 1 : 161 90.66%
66 QT KQTT4 one pair 384 0.62% 1 : 161 90.04%
67 JT KJTT4 one pair 384 0.62% 1 : 161 89.42%
68 T9 KTT94 one pair 384 0.62% 1 : 161 88.81%
69 T8 KTT84 one pair 384 0.62% 1 : 161 88.19%
70 T7 KTT74 one pair 384 0.62% 1 : 161 87.57%
71 T6 KTT64 one pair 384 0.62% 1 : 161 86.95%
72 T5 KTT54 one pair 384 0.62% 1 : 161 86.33%
73 T3 KTT43 one pair 384 0.62% 1 : 161 85.71%
74 T2 KTT42 one pair 384 0.62% 1 : 161 85.09%
75 99 KT994 one pair 384 0.62% 1 : 161 84.47%
76 88 KT884 one pair 384 0.62% 1 : 161 83.86%
77 77 KT774 one pair 384 0.62% 1 : 161 83.24%
78 66 KT664 one pair 384 0.62% 1 : 161 82.62%
79 55 KT554 one pair 384 0.62% 1 : 161 82.00%
80 A4 AKT44 one pair 384 0.62% 1 : 161 81.38%
81 Q4 KQT44 one pair 384 0.62% 1 : 161 80.76%
82 J4 KJT44 one pair 384 0.62% 1 : 161 80.14%
83 94 KT944 one pair 384 0.62% 1 : 161 79.52%
84 84 KT844 one pair 384 0.62% 1 : 161 78.91%
85 74 KT744 one pair 384 0.62% 1 : 161 78.29%
86 64 KT644 one pair 384 0.62% 1 : 161 77.67%
87 54 KT544 one pair 384 0.62% 1 : 161 77.05%
88 43 KT443 one pair 384 0.62% 1 : 161 76.43%
89 42 KT442 one pair 384 0.62% 1 : 161 75.81%
90 33 KT433 one pair 384 0.62% 1 : 161 75.19%
91 22 KT422 one pair 384 0.62% 1 : 161 74.57%
 
92 AQ AKQT4 high card 1,020 1.64% 1 : 59.8 73.96%
93 AJ AKJT4 high card 1,020 1.64% 1 : 59.8 72.31%
94 A9 AKT94 high card 1,020 1.64% 1 : 59.8 70.67%
95 A8 AKT84 high card 1,020 1.64% 1 : 59.8 69.03%
96 A7 AKT74 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 AKT64 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 AKT54 high card 1,020 1.64% 1 : 59.8 64.10%
99 A3 AKT43 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AKT42 high card 1,020 1.64% 1 : 59.8 60.81%
101 QJ KQJT4 high card 1,020 1.64% 1 : 59.8 59.16%
102 Q9 KQT94 high card 1,020 1.64% 1 : 59.8 57.52%
103 Q8 KQT84 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q7 KQT74 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q6 KQT64 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q5 KQT54 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q3 KQT43 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q2 KQT42 high card 1,020 1.64% 1 : 59.8 47.66%
109 J9 KJT94 high card 1,020 1.64% 1 : 59.8 46.02%
110 J8 KJT84 high card 1,020 1.64% 1 : 59.8 44.37%
111 J7 KJT74 high card 1,020 1.64% 1 : 59.8 42.73%
112 J6 KJT64 high card 1,020 1.64% 1 : 59.8 41.09%
113 J5 KJT54 high card 1,020 1.64% 1 : 59.8 39.44%
114 J3 KJT43 high card 1,020 1.64% 1 : 59.8 37.80%
115 J2 KJT42 high card 1,020 1.64% 1 : 59.8 36.16%
116 98 KT984 high card 1,020 1.64% 1 : 59.8 34.51%
117 97 KT974 high card 1,020 1.64% 1 : 59.8 32.87%
118 96 KT964 high card 1,020 1.64% 1 : 59.8 31.23%
119 95 KT954 high card 1,020 1.64% 1 : 59.8 29.58%
120 93 KT943 high card 1,020 1.64% 1 : 59.8 27.94%
121 92 KT942 high card 1,020 1.64% 1 : 59.8 26.30%
122 87 KT874 high card 1,020 1.64% 1 : 59.8 24.65%
123 86 KT864 high card 1,020 1.64% 1 : 59.8 23.01%
124 85 KT854 high card 1,020 1.64% 1 : 59.8 21.37%
125 83 KT843 high card 1,020 1.64% 1 : 59.8 19.72%
126 82 KT842 high card 1,020 1.64% 1 : 59.8 18.08%
127 76 KT764 high card 1,020 1.64% 1 : 59.8 16.43%
128 75 KT754 high card 1,020 1.64% 1 : 59.8 14.79%
129 73 KT743 high card 1,020 1.64% 1 : 59.8 13.15%
130 72 KT742 high card 1,020 1.64% 1 : 59.8 11.50%
131 65 KT654 high card 1,020 1.64% 1 : 59.8 9.86%
132 63 KT643 high card 1,020 1.64% 1 : 59.8 8.22%
133 62 KT642 high card 1,020 1.64% 1 : 59.8 6.57%
134 53 KT543 high card 1,020 1.64% 1 : 59.8 4.93%
135 52 KT542 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 KT432 high card 1,020 1.64% 1 : 59.8 1.64%