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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 QJs AKQJ9 flush 4 0.01% 1 : 15515 100.00%
2 QTs AKQT9 flush 4 0.01% 1 : 15515 99.99%
3 Q8s AKQ98 flush 4 0.01% 1 : 15515 99.99%
4 Q7s AKQ97 flush 4 0.01% 1 : 15515 99.98%
5 Q6s AKQ96 flush 4 0.01% 1 : 15515 99.97%
6 Q5s AKQ95 flush 4 0.01% 1 : 15515 99.97%
7 Q4s AKQ94 flush 4 0.01% 1 : 15515 99.96%
8 Q3s AKQ93 flush 4 0.01% 1 : 15515 99.95%
9 Q2s AKQ92 flush 4 0.01% 1 : 15515 99.95%
10 JTs AKJT9 flush 4 0.01% 1 : 15515 99.94%
11 J8s AKJ98 flush 4 0.01% 1 : 15515 99.94%
12 J7s AKJ97 flush 4 0.01% 1 : 15515 99.93%
13 J6s AKJ96 flush 4 0.01% 1 : 15515 99.92%
14 J5s AKJ95 flush 4 0.01% 1 : 15515 99.92%
15 J4s AKJ94 flush 4 0.01% 1 : 15515 99.91%
16 J3s AKJ93 flush 4 0.01% 1 : 15515 99.90%
17 J2s AKJ92 flush 4 0.01% 1 : 15515 99.90%
18 T8s AKT98 flush 4 0.01% 1 : 15515 99.89%
19 T7s AKT97 flush 4 0.01% 1 : 15515 99.88%
20 T6s AKT96 flush 4 0.01% 1 : 15515 99.88%
21 T5s AKT95 flush 4 0.01% 1 : 15515 99.87%
22 T4s AKT94 flush 4 0.01% 1 : 15515 99.86%
23 T3s AKT93 flush 4 0.01% 1 : 15515 99.86%
24 T2s AKT92 flush 4 0.01% 1 : 15515 99.85%
25 87s AK987 flush 4 0.01% 1 : 15515 99.85%
26 86s AK986 flush 4 0.01% 1 : 15515 99.84%
27 85s AK985 flush 4 0.01% 1 : 15515 99.83%
28 84s AK984 flush 4 0.01% 1 : 15515 99.83%
29 83s AK983 flush 4 0.01% 1 : 15515 99.82%
30 82s AK982 flush 4 0.01% 1 : 15515 99.81%
31 76s AK976 flush 4 0.01% 1 : 15515 99.81%
32 75s AK975 flush 4 0.01% 1 : 15515 99.80%
33 74s AK974 flush 4 0.01% 1 : 15515 99.79%
34 73s AK973 flush 4 0.01% 1 : 15515 99.79%
35 72s AK972 flush 4 0.01% 1 : 15515 99.78%
36 65s AK965 flush 4 0.01% 1 : 15515 99.77%
37 64s AK964 flush 4 0.01% 1 : 15515 99.77%
38 63s AK963 flush 4 0.01% 1 : 15515 99.76%
39 62s AK962 flush 4 0.01% 1 : 15515 99.76%
40 54s AK954 flush 4 0.01% 1 : 15515 99.75%
41 53s AK953 flush 4 0.01% 1 : 15515 99.74%
42 52s AK952 flush 4 0.01% 1 : 15515 99.74%
43 43s AK943 flush 4 0.01% 1 : 15515 99.73%
44 42s AK942 flush 4 0.01% 1 : 15515 99.72%
45 32s AK932 flush 4 0.01% 1 : 15515 99.72%
 
46 AA AAAK9 three of a kind 64 0.10% 1 : 969 99.71%
47 KK AKKK9 three of a kind 64 0.10% 1 : 969 99.61%
48 99 AK999 three of a kind 64 0.10% 1 : 969 99.50%
 
49 AK AAKK9 two pairs 144 0.23% 1 : 430 99.40%
50 A9 AAK99 two pairs 144 0.23% 1 : 430 99.17%
51 K9 AKK99 two pairs 144 0.23% 1 : 430 98.94%
 
52 AQ AAKQ9 one pair 384 0.62% 1 : 161 98.70%
53 AJ AAKJ9 one pair 384 0.62% 1 : 161 98.09%
54 AT AAKT9 one pair 384 0.62% 1 : 161 97.47%
55 A8 AAK98 one pair 384 0.62% 1 : 161 96.85%
56 A7 AAK97 one pair 384 0.62% 1 : 161 96.23%
57 A6 AAK96 one pair 384 0.62% 1 : 161 95.61%
58 A5 AAK95 one pair 384 0.62% 1 : 161 94.99%
59 A4 AAK94 one pair 384 0.62% 1 : 161 94.37%
60 A3 AAK93 one pair 384 0.62% 1 : 161 93.75%
61 A2 AAK92 one pair 384 0.62% 1 : 161 93.14%
62 KQ AKKQ9 one pair 384 0.62% 1 : 161 92.52%
63 KJ AKKJ9 one pair 384 0.62% 1 : 161 91.90%
64 KT AKKT9 one pair 384 0.62% 1 : 161 91.28%
65 K8 AKK98 one pair 384 0.62% 1 : 161 90.66%
66 K7 AKK97 one pair 384 0.62% 1 : 161 90.04%
67 K6 AKK96 one pair 384 0.62% 1 : 161 89.42%
68 K5 AKK95 one pair 384 0.62% 1 : 161 88.81%
69 K4 AKK94 one pair 384 0.62% 1 : 161 88.19%
70 K3 AKK93 one pair 384 0.62% 1 : 161 87.57%
71 K2 AKK92 one pair 384 0.62% 1 : 161 86.95%
72 QQ AKQQ9 one pair 384 0.62% 1 : 161 86.33%
73 JJ AKJJ9 one pair 384 0.62% 1 : 161 85.71%
74 TT AKTT9 one pair 384 0.62% 1 : 161 85.09%
75 Q9 AKQ99 one pair 384 0.62% 1 : 161 84.47%
76 J9 AKJ99 one pair 384 0.62% 1 : 161 83.86%
77 T9 AKT99 one pair 384 0.62% 1 : 161 83.24%
78 98 AK998 one pair 384 0.62% 1 : 161 82.62%
79 97 AK997 one pair 384 0.62% 1 : 161 82.00%
80 96 AK996 one pair 384 0.62% 1 : 161 81.38%
81 95 AK995 one pair 384 0.62% 1 : 161 80.76%
82 94 AK994 one pair 384 0.62% 1 : 161 80.14%
83 93 AK993 one pair 384 0.62% 1 : 161 79.52%
84 92 AK992 one pair 384 0.62% 1 : 161 78.91%
85 88 AK988 one pair 384 0.62% 1 : 161 78.29%
86 77 AK977 one pair 384 0.62% 1 : 161 77.67%
87 66 AK966 one pair 384 0.62% 1 : 161 77.05%
88 55 AK955 one pair 384 0.62% 1 : 161 76.43%
89 44 AK944 one pair 384 0.62% 1 : 161 75.81%
90 33 AK933 one pair 384 0.62% 1 : 161 75.19%
91 22 AK922 one pair 384 0.62% 1 : 161 74.57%
 
92 QJ AKQJ9 high card 1,020 1.64% 1 : 59.8 73.96%
93 QT AKQT9 high card 1,020 1.64% 1 : 59.8 72.31%
94 Q8 AKQ98 high card 1,020 1.64% 1 : 59.8 70.67%
95 Q7 AKQ97 high card 1,020 1.64% 1 : 59.8 69.03%
96 Q6 AKQ96 high card 1,020 1.64% 1 : 59.8 67.38%
97 Q5 AKQ95 high card 1,020 1.64% 1 : 59.8 65.74%
98 Q4 AKQ94 high card 1,020 1.64% 1 : 59.8 64.10%
99 Q3 AKQ93 high card 1,020 1.64% 1 : 59.8 62.45%
100 Q2 AKQ92 high card 1,020 1.64% 1 : 59.8 60.81%
101 JT AKJT9 high card 1,020 1.64% 1 : 59.8 59.16%
102 J8 AKJ98 high card 1,020 1.64% 1 : 59.8 57.52%
103 J7 AKJ97 high card 1,020 1.64% 1 : 59.8 55.88%
104 J6 AKJ96 high card 1,020 1.64% 1 : 59.8 54.23%
105 J5 AKJ95 high card 1,020 1.64% 1 : 59.8 52.59%
106 J4 AKJ94 high card 1,020 1.64% 1 : 59.8 50.95%
107 J3 AKJ93 high card 1,020 1.64% 1 : 59.8 49.30%
108 J2 AKJ92 high card 1,020 1.64% 1 : 59.8 47.66%
109 T8 AKT98 high card 1,020 1.64% 1 : 59.8 46.02%
110 T7 AKT97 high card 1,020 1.64% 1 : 59.8 44.37%
111 T6 AKT96 high card 1,020 1.64% 1 : 59.8 42.73%
112 T5 AKT95 high card 1,020 1.64% 1 : 59.8 41.09%
113 T4 AKT94 high card 1,020 1.64% 1 : 59.8 39.44%
114 T3 AKT93 high card 1,020 1.64% 1 : 59.8 37.80%
115 T2 AKT92 high card 1,020 1.64% 1 : 59.8 36.16%
116 87 AK987 high card 1,020 1.64% 1 : 59.8 34.51%
117 86 AK986 high card 1,020 1.64% 1 : 59.8 32.87%
118 85 AK985 high card 1,020 1.64% 1 : 59.8 31.23%
119 84 AK984 high card 1,020 1.64% 1 : 59.8 29.58%
120 83 AK983 high card 1,020 1.64% 1 : 59.8 27.94%
121 82 AK982 high card 1,020 1.64% 1 : 59.8 26.30%
122 76 AK976 high card 1,020 1.64% 1 : 59.8 24.65%
123 75 AK975 high card 1,020 1.64% 1 : 59.8 23.01%
124 74 AK974 high card 1,020 1.64% 1 : 59.8 21.37%
125 73 AK973 high card 1,020 1.64% 1 : 59.8 19.72%
126 72 AK972 high card 1,020 1.64% 1 : 59.8 18.08%
127 65 AK965 high card 1,020 1.64% 1 : 59.8 16.43%
128 64 AK964 high card 1,020 1.64% 1 : 59.8 14.79%
129 63 AK963 high card 1,020 1.64% 1 : 59.8 13.15%
130 62 AK962 high card 1,020 1.64% 1 : 59.8 11.50%
131 54 AK954 high card 1,020 1.64% 1 : 59.8 9.86%
132 53 AK953 high card 1,020 1.64% 1 : 59.8 8.22%
133 52 AK952 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 AK943 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 AK942 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 AK932 high card 1,020 1.64% 1 : 59.8 1.64%