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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 KQs AKQT4 flush 4 0.01% 1 : 15515 100.00%
2 KJs AKJT4 flush 4 0.01% 1 : 15515 99.99%
3 K9s AKT94 flush 4 0.01% 1 : 15515 99.99%
4 K8s AKT84 flush 4 0.01% 1 : 15515 99.98%
5 K7s AKT74 flush 4 0.01% 1 : 15515 99.97%
6 K6s AKT64 flush 4 0.01% 1 : 15515 99.97%
7 K5s AKT54 flush 4 0.01% 1 : 15515 99.96%
8 K3s AKT43 flush 4 0.01% 1 : 15515 99.95%
9 K2s AKT42 flush 4 0.01% 1 : 15515 99.95%
10 QJs AQJT4 flush 4 0.01% 1 : 15515 99.94%
11 Q9s AQT94 flush 4 0.01% 1 : 15515 99.94%
12 Q8s AQT84 flush 4 0.01% 1 : 15515 99.93%
13 Q7s AQT74 flush 4 0.01% 1 : 15515 99.92%
14 Q6s AQT64 flush 4 0.01% 1 : 15515 99.92%
15 Q5s AQT54 flush 4 0.01% 1 : 15515 99.91%
16 Q3s AQT43 flush 4 0.01% 1 : 15515 99.90%
17 Q2s AQT42 flush 4 0.01% 1 : 15515 99.90%
18 J9s AJT94 flush 4 0.01% 1 : 15515 99.89%
19 J8s AJT84 flush 4 0.01% 1 : 15515 99.88%
20 J7s AJT74 flush 4 0.01% 1 : 15515 99.88%
21 J6s AJT64 flush 4 0.01% 1 : 15515 99.87%
22 J5s AJT54 flush 4 0.01% 1 : 15515 99.86%
23 J3s AJT43 flush 4 0.01% 1 : 15515 99.86%
24 J2s AJT42 flush 4 0.01% 1 : 15515 99.85%
25 98s AT984 flush 4 0.01% 1 : 15515 99.85%
26 97s AT974 flush 4 0.01% 1 : 15515 99.84%
27 96s AT964 flush 4 0.01% 1 : 15515 99.83%
28 95s AT954 flush 4 0.01% 1 : 15515 99.83%
29 93s AT943 flush 4 0.01% 1 : 15515 99.82%
30 92s AT942 flush 4 0.01% 1 : 15515 99.81%
31 87s AT874 flush 4 0.01% 1 : 15515 99.81%
32 86s AT864 flush 4 0.01% 1 : 15515 99.80%
33 85s AT854 flush 4 0.01% 1 : 15515 99.79%
34 83s AT843 flush 4 0.01% 1 : 15515 99.79%
35 82s AT842 flush 4 0.01% 1 : 15515 99.78%
36 76s AT764 flush 4 0.01% 1 : 15515 99.77%
37 75s AT754 flush 4 0.01% 1 : 15515 99.77%
38 73s AT743 flush 4 0.01% 1 : 15515 99.76%
39 72s AT742 flush 4 0.01% 1 : 15515 99.76%
40 65s AT654 flush 4 0.01% 1 : 15515 99.75%
41 63s AT643 flush 4 0.01% 1 : 15515 99.74%
42 62s AT642 flush 4 0.01% 1 : 15515 99.74%
43 53s AT543 flush 4 0.01% 1 : 15515 99.73%
44 52s AT542 flush 4 0.01% 1 : 15515 99.72%
45 32s AT432 flush 4 0.01% 1 : 15515 99.72%
 
46 AA AAAT4 three of a kind 64 0.10% 1 : 969 99.71%
47 TT ATTT4 three of a kind 64 0.10% 1 : 969 99.61%
48 44 AT444 three of a kind 64 0.10% 1 : 969 99.50%
 
49 AT AATT4 two pairs 144 0.23% 1 : 430 99.40%
50 A4 AAT44 two pairs 144 0.23% 1 : 430 99.17%
51 T4 ATT44 two pairs 144 0.23% 1 : 430 98.94%
 
52 AK AAKT4 one pair 384 0.62% 1 : 161 98.70%
53 AQ AAQT4 one pair 384 0.62% 1 : 161 98.09%
54 AJ AAJT4 one pair 384 0.62% 1 : 161 97.47%
55 A9 AAT94 one pair 384 0.62% 1 : 161 96.85%
56 A8 AAT84 one pair 384 0.62% 1 : 161 96.23%
57 A7 AAT74 one pair 384 0.62% 1 : 161 95.61%
58 A6 AAT64 one pair 384 0.62% 1 : 161 94.99%
59 A5 AAT54 one pair 384 0.62% 1 : 161 94.37%
60 A3 AAT43 one pair 384 0.62% 1 : 161 93.75%
61 A2 AAT42 one pair 384 0.62% 1 : 161 93.14%
62 KK AKKT4 one pair 384 0.62% 1 : 161 92.52%
63 QQ AQQT4 one pair 384 0.62% 1 : 161 91.90%
64 JJ AJJT4 one pair 384 0.62% 1 : 161 91.28%
65 KT AKTT4 one pair 384 0.62% 1 : 161 90.66%
66 QT AQTT4 one pair 384 0.62% 1 : 161 90.04%
67 JT AJTT4 one pair 384 0.62% 1 : 161 89.42%
68 T9 ATT94 one pair 384 0.62% 1 : 161 88.81%
69 T8 ATT84 one pair 384 0.62% 1 : 161 88.19%
70 T7 ATT74 one pair 384 0.62% 1 : 161 87.57%
71 T6 ATT64 one pair 384 0.62% 1 : 161 86.95%
72 T5 ATT54 one pair 384 0.62% 1 : 161 86.33%
73 T3 ATT43 one pair 384 0.62% 1 : 161 85.71%
74 T2 ATT42 one pair 384 0.62% 1 : 161 85.09%
75 99 AT994 one pair 384 0.62% 1 : 161 84.47%
76 88 AT884 one pair 384 0.62% 1 : 161 83.86%
77 77 AT774 one pair 384 0.62% 1 : 161 83.24%
78 66 AT664 one pair 384 0.62% 1 : 161 82.62%
79 55 AT554 one pair 384 0.62% 1 : 161 82.00%
80 K4 AKT44 one pair 384 0.62% 1 : 161 81.38%
81 Q4 AQT44 one pair 384 0.62% 1 : 161 80.76%
82 J4 AJT44 one pair 384 0.62% 1 : 161 80.14%
83 94 AT944 one pair 384 0.62% 1 : 161 79.52%
84 84 AT844 one pair 384 0.62% 1 : 161 78.91%
85 74 AT744 one pair 384 0.62% 1 : 161 78.29%
86 64 AT644 one pair 384 0.62% 1 : 161 77.67%
87 54 AT544 one pair 384 0.62% 1 : 161 77.05%
88 43 AT443 one pair 384 0.62% 1 : 161 76.43%
89 42 AT442 one pair 384 0.62% 1 : 161 75.81%
90 33 AT433 one pair 384 0.62% 1 : 161 75.19%
91 22 AT422 one pair 384 0.62% 1 : 161 74.57%
 
92 KQ AKQT4 high card 1,020 1.64% 1 : 59.8 73.96%
93 KJ AKJT4 high card 1,020 1.64% 1 : 59.8 72.31%
94 K9 AKT94 high card 1,020 1.64% 1 : 59.8 70.67%
95 K8 AKT84 high card 1,020 1.64% 1 : 59.8 69.03%
96 K7 AKT74 high card 1,020 1.64% 1 : 59.8 67.38%
97 K6 AKT64 high card 1,020 1.64% 1 : 59.8 65.74%
98 K5 AKT54 high card 1,020 1.64% 1 : 59.8 64.10%
99 K3 AKT43 high card 1,020 1.64% 1 : 59.8 62.45%
100 K2 AKT42 high card 1,020 1.64% 1 : 59.8 60.81%
101 QJ AQJT4 high card 1,020 1.64% 1 : 59.8 59.16%
102 Q9 AQT94 high card 1,020 1.64% 1 : 59.8 57.52%
103 Q8 AQT84 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q7 AQT74 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q6 AQT64 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q5 AQT54 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q3 AQT43 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q2 AQT42 high card 1,020 1.64% 1 : 59.8 47.66%
109 J9 AJT94 high card 1,020 1.64% 1 : 59.8 46.02%
110 J8 AJT84 high card 1,020 1.64% 1 : 59.8 44.37%
111 J7 AJT74 high card 1,020 1.64% 1 : 59.8 42.73%
112 J6 AJT64 high card 1,020 1.64% 1 : 59.8 41.09%
113 J5 AJT54 high card 1,020 1.64% 1 : 59.8 39.44%
114 J3 AJT43 high card 1,020 1.64% 1 : 59.8 37.80%
115 J2 AJT42 high card 1,020 1.64% 1 : 59.8 36.16%
116 98 AT984 high card 1,020 1.64% 1 : 59.8 34.51%
117 97 AT974 high card 1,020 1.64% 1 : 59.8 32.87%
118 96 AT964 high card 1,020 1.64% 1 : 59.8 31.23%
119 95 AT954 high card 1,020 1.64% 1 : 59.8 29.58%
120 93 AT943 high card 1,020 1.64% 1 : 59.8 27.94%
121 92 AT942 high card 1,020 1.64% 1 : 59.8 26.30%
122 87 AT874 high card 1,020 1.64% 1 : 59.8 24.65%
123 86 AT864 high card 1,020 1.64% 1 : 59.8 23.01%
124 85 AT854 high card 1,020 1.64% 1 : 59.8 21.37%
125 83 AT843 high card 1,020 1.64% 1 : 59.8 19.72%
126 82 AT842 high card 1,020 1.64% 1 : 59.8 18.08%
127 76 AT764 high card 1,020 1.64% 1 : 59.8 16.43%
128 75 AT754 high card 1,020 1.64% 1 : 59.8 14.79%
129 73 AT743 high card 1,020 1.64% 1 : 59.8 13.15%
130 72 AT742 high card 1,020 1.64% 1 : 59.8 11.50%
131 65 AT654 high card 1,020 1.64% 1 : 59.8 9.86%
132 63 AT643 high card 1,020 1.64% 1 : 59.8 8.22%
133 62 AT642 high card 1,020 1.64% 1 : 59.8 6.57%
134 53 AT543 high card 1,020 1.64% 1 : 59.8 4.93%
135 52 AT542 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 AT432 high card 1,020 1.64% 1 : 59.8 1.64%