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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 1 4 0.01% 1 : 15515
four of a kind 0 0 impossible impossible
full house 0 0 impossible impossible
flush 44 176 0.28% 1 : 352
straight 1 1,020 1.64% 1 : 59.8
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 44 44,880 72.31% 2.61 : 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 QJs KQJT9 straight flush 4 0.01% 1 : 15515 100.00%
 
2 AQs AKQT9 flush 4 0.01% 1 : 15515 99.99%
3 AJs AKJT9 flush 4 0.01% 1 : 15515 99.99%
4 A8s AKT98 flush 4 0.01% 1 : 15515 99.98%
5 A7s AKT97 flush 4 0.01% 1 : 15515 99.97%
6 A6s AKT96 flush 4 0.01% 1 : 15515 99.97%
7 A5s AKT95 flush 4 0.01% 1 : 15515 99.96%
8 A4s AKT94 flush 4 0.01% 1 : 15515 99.95%
9 A3s AKT93 flush 4 0.01% 1 : 15515 99.95%
10 A2s AKT92 flush 4 0.01% 1 : 15515 99.94%
11 Q8s KQT98 flush 4 0.01% 1 : 15515 99.94%
12 Q7s KQT97 flush 4 0.01% 1 : 15515 99.93%
13 Q6s KQT96 flush 4 0.01% 1 : 15515 99.92%
14 Q5s KQT95 flush 4 0.01% 1 : 15515 99.92%
15 Q4s KQT94 flush 4 0.01% 1 : 15515 99.91%
16 Q3s KQT93 flush 4 0.01% 1 : 15515 99.90%
17 Q2s KQT92 flush 4 0.01% 1 : 15515 99.90%
18 J8s KJT98 flush 4 0.01% 1 : 15515 99.89%
19 J7s KJT97 flush 4 0.01% 1 : 15515 99.88%
20 J6s KJT96 flush 4 0.01% 1 : 15515 99.88%
21 J5s KJT95 flush 4 0.01% 1 : 15515 99.87%
22 J4s KJT94 flush 4 0.01% 1 : 15515 99.86%
23 J3s KJT93 flush 4 0.01% 1 : 15515 99.86%
24 J2s KJT92 flush 4 0.01% 1 : 15515 99.85%
25 87s KT987 flush 4 0.01% 1 : 15515 99.85%
26 86s KT986 flush 4 0.01% 1 : 15515 99.84%
27 85s KT985 flush 4 0.01% 1 : 15515 99.83%
28 84s KT984 flush 4 0.01% 1 : 15515 99.83%
29 83s KT983 flush 4 0.01% 1 : 15515 99.82%
30 82s KT982 flush 4 0.01% 1 : 15515 99.81%
31 76s KT976 flush 4 0.01% 1 : 15515 99.81%
32 75s KT975 flush 4 0.01% 1 : 15515 99.80%
33 74s KT974 flush 4 0.01% 1 : 15515 99.79%
34 73s KT973 flush 4 0.01% 1 : 15515 99.79%
35 72s KT972 flush 4 0.01% 1 : 15515 99.78%
36 65s KT965 flush 4 0.01% 1 : 15515 99.77%
37 64s KT964 flush 4 0.01% 1 : 15515 99.77%
38 63s KT963 flush 4 0.01% 1 : 15515 99.76%
39 62s KT962 flush 4 0.01% 1 : 15515 99.76%
40 54s KT954 flush 4 0.01% 1 : 15515 99.75%
41 53s KT953 flush 4 0.01% 1 : 15515 99.74%
42 52s KT952 flush 4 0.01% 1 : 15515 99.74%
43 43s KT943 flush 4 0.01% 1 : 15515 99.73%
44 42s KT942 flush 4 0.01% 1 : 15515 99.72%
45 32s KT932 flush 4 0.01% 1 : 15515 99.72%
 
46 QJ KQJT9 straight 1,020 1.64% 1 : 59.8 99.71%
 
47 KK KKKT9 three of a kind 64 0.10% 1 : 969 98.07%
48 TT KTTT9 three of a kind 64 0.10% 1 : 969 97.96%
49 99 KT999 three of a kind 64 0.10% 1 : 969 97.86%
 
50 KT KKTT9 two pairs 144 0.23% 1 : 430 97.76%
51 K9 KKT99 two pairs 144 0.23% 1 : 430 97.53%
52 T9 KTT99 two pairs 144 0.23% 1 : 430 97.29%
 
53 AA AAKT9 one pair 384 0.62% 1 : 161 97.06%
54 AK AKKT9 one pair 384 0.62% 1 : 161 96.44%
55 KQ KKQT9 one pair 384 0.62% 1 : 161 95.82%
56 KJ KKJT9 one pair 384 0.62% 1 : 161 95.20%
57 K8 KKT98 one pair 384 0.62% 1 : 161 94.59%
58 K7 KKT97 one pair 384 0.62% 1 : 161 93.97%
59 K6 KKT96 one pair 384 0.62% 1 : 161 93.35%
60 K5 KKT95 one pair 384 0.62% 1 : 161 92.73%
61 K4 KKT94 one pair 384 0.62% 1 : 161 92.11%
62 K3 KKT93 one pair 384 0.62% 1 : 161 91.49%
63 K2 KKT92 one pair 384 0.62% 1 : 161 90.87%
64 QQ KQQT9 one pair 384 0.62% 1 : 161 90.26%
65 JJ KJJT9 one pair 384 0.62% 1 : 161 89.64%
66 AT AKTT9 one pair 384 0.62% 1 : 161 89.02%
67 QT KQTT9 one pair 384 0.62% 1 : 161 88.40%
68 JT KJTT9 one pair 384 0.62% 1 : 161 87.78%
69 T8 KTT98 one pair 384 0.62% 1 : 161 87.16%
70 T7 KTT97 one pair 384 0.62% 1 : 161 86.54%
71 T6 KTT96 one pair 384 0.62% 1 : 161 85.92%
72 T5 KTT95 one pair 384 0.62% 1 : 161 85.31%
73 T4 KTT94 one pair 384 0.62% 1 : 161 84.69%
74 T3 KTT93 one pair 384 0.62% 1 : 161 84.07%
75 T2 KTT92 one pair 384 0.62% 1 : 161 83.45%
76 A9 AKT99 one pair 384 0.62% 1 : 161 82.83%
77 Q9 KQT99 one pair 384 0.62% 1 : 161 82.21%
78 J9 KJT99 one pair 384 0.62% 1 : 161 81.59%
79 98 KT998 one pair 384 0.62% 1 : 161 80.97%
80 97 KT997 one pair 384 0.62% 1 : 161 80.36%
81 96 KT996 one pair 384 0.62% 1 : 161 79.74%
82 95 KT995 one pair 384 0.62% 1 : 161 79.12%
83 94 KT994 one pair 384 0.62% 1 : 161 78.50%
84 93 KT993 one pair 384 0.62% 1 : 161 77.88%
85 92 KT992 one pair 384 0.62% 1 : 161 77.26%
86 88 KT988 one pair 384 0.62% 1 : 161 76.64%
87 77 KT977 one pair 384 0.62% 1 : 161 76.02%
88 66 KT966 one pair 384 0.62% 1 : 161 75.41%
89 55 KT955 one pair 384 0.62% 1 : 161 74.79%
90 44 KT944 one pair 384 0.62% 1 : 161 74.17%
91 33 KT933 one pair 384 0.62% 1 : 161 73.55%
92 22 KT922 one pair 384 0.62% 1 : 161 72.93%
 
93 AQ AKQT9 high card 1,020 1.64% 1 : 59.8 72.31%
94 AJ AKJT9 high card 1,020 1.64% 1 : 59.8 70.67%
95 A8 AKT98 high card 1,020 1.64% 1 : 59.8 69.03%
96 A7 AKT97 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 AKT96 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 AKT95 high card 1,020 1.64% 1 : 59.8 64.10%
99 A4 AKT94 high card 1,020 1.64% 1 : 59.8 62.45%
100 A3 AKT93 high card 1,020 1.64% 1 : 59.8 60.81%
101 A2 AKT92 high card 1,020 1.64% 1 : 59.8 59.16%
102 Q8 KQT98 high card 1,020 1.64% 1 : 59.8 57.52%
103 Q7 KQT97 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q6 KQT96 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q5 KQT95 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q4 KQT94 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q3 KQT93 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q2 KQT92 high card 1,020 1.64% 1 : 59.8 47.66%
109 J8 KJT98 high card 1,020 1.64% 1 : 59.8 46.02%
110 J7 KJT97 high card 1,020 1.64% 1 : 59.8 44.37%
111 J6 KJT96 high card 1,020 1.64% 1 : 59.8 42.73%
112 J5 KJT95 high card 1,020 1.64% 1 : 59.8 41.09%
113 J4 KJT94 high card 1,020 1.64% 1 : 59.8 39.44%
114 J3 KJT93 high card 1,020 1.64% 1 : 59.8 37.80%
115 J2 KJT92 high card 1,020 1.64% 1 : 59.8 36.16%
116 87 KT987 high card 1,020 1.64% 1 : 59.8 34.51%
117 86 KT986 high card 1,020 1.64% 1 : 59.8 32.87%
118 85 KT985 high card 1,020 1.64% 1 : 59.8 31.23%
119 84 KT984 high card 1,020 1.64% 1 : 59.8 29.58%
120 83 KT983 high card 1,020 1.64% 1 : 59.8 27.94%
121 82 KT982 high card 1,020 1.64% 1 : 59.8 26.30%
122 76 KT976 high card 1,020 1.64% 1 : 59.8 24.65%
123 75 KT975 high card 1,020 1.64% 1 : 59.8 23.01%
124 74 KT974 high card 1,020 1.64% 1 : 59.8 21.37%
125 73 KT973 high card 1,020 1.64% 1 : 59.8 19.72%
126 72 KT972 high card 1,020 1.64% 1 : 59.8 18.08%
127 65 KT965 high card 1,020 1.64% 1 : 59.8 16.43%
128 64 KT964 high card 1,020 1.64% 1 : 59.8 14.79%
129 63 KT963 high card 1,020 1.64% 1 : 59.8 13.15%
130 62 KT962 high card 1,020 1.64% 1 : 59.8 11.50%
131 54 KT954 high card 1,020 1.64% 1 : 59.8 9.86%
132 53 KT953 high card 1,020 1.64% 1 : 59.8 8.22%
133 52 KT952 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 KT943 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 KT942 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 KT932 high card 1,020 1.64% 1 : 59.8 1.64%