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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 AKQ93 flush 4 0.01% 1 : 15515 100.00%
2 AJs AQJ93 flush 4 0.01% 1 : 15515 99.99%
3 ATs AQT93 flush 4 0.01% 1 : 15515 99.99%
4 A8s AQ983 flush 4 0.01% 1 : 15515 99.98%
5 A7s AQ973 flush 4 0.01% 1 : 15515 99.97%
6 A6s AQ963 flush 4 0.01% 1 : 15515 99.97%
7 A5s AQ953 flush 4 0.01% 1 : 15515 99.96%
8 A4s AQ943 flush 4 0.01% 1 : 15515 99.95%
9 A2s AQ932 flush 4 0.01% 1 : 15515 99.95%
10 KJs KQJ93 flush 4 0.01% 1 : 15515 99.94%
11 KTs KQT93 flush 4 0.01% 1 : 15515 99.94%
12 K8s KQ983 flush 4 0.01% 1 : 15515 99.93%
13 K7s KQ973 flush 4 0.01% 1 : 15515 99.92%
14 K6s KQ963 flush 4 0.01% 1 : 15515 99.92%
15 K5s KQ953 flush 4 0.01% 1 : 15515 99.91%
16 K4s KQ943 flush 4 0.01% 1 : 15515 99.90%
17 K2s KQ932 flush 4 0.01% 1 : 15515 99.90%
18 JTs QJT93 flush 4 0.01% 1 : 15515 99.89%
19 J8s QJ983 flush 4 0.01% 1 : 15515 99.88%
20 J7s QJ973 flush 4 0.01% 1 : 15515 99.88%
21 J6s QJ963 flush 4 0.01% 1 : 15515 99.87%
22 J5s QJ953 flush 4 0.01% 1 : 15515 99.86%
23 J4s QJ943 flush 4 0.01% 1 : 15515 99.86%
24 J2s QJ932 flush 4 0.01% 1 : 15515 99.85%
25 T8s QT983 flush 4 0.01% 1 : 15515 99.85%
26 T7s QT973 flush 4 0.01% 1 : 15515 99.84%
27 T6s QT963 flush 4 0.01% 1 : 15515 99.83%
28 T5s QT953 flush 4 0.01% 1 : 15515 99.83%
29 T4s QT943 flush 4 0.01% 1 : 15515 99.82%
30 T2s QT932 flush 4 0.01% 1 : 15515 99.81%
31 87s Q9873 flush 4 0.01% 1 : 15515 99.81%
32 86s Q9863 flush 4 0.01% 1 : 15515 99.80%
33 85s Q9853 flush 4 0.01% 1 : 15515 99.79%
34 84s Q9843 flush 4 0.01% 1 : 15515 99.79%
35 82s Q9832 flush 4 0.01% 1 : 15515 99.78%
36 76s Q9763 flush 4 0.01% 1 : 15515 99.77%
37 75s Q9753 flush 4 0.01% 1 : 15515 99.77%
38 74s Q9743 flush 4 0.01% 1 : 15515 99.76%
39 72s Q9732 flush 4 0.01% 1 : 15515 99.76%
40 65s Q9653 flush 4 0.01% 1 : 15515 99.75%
41 64s Q9643 flush 4 0.01% 1 : 15515 99.74%
42 62s Q9632 flush 4 0.01% 1 : 15515 99.74%
43 54s Q9543 flush 4 0.01% 1 : 15515 99.73%
44 52s Q9532 flush 4 0.01% 1 : 15515 99.72%
45 42s Q9432 flush 4 0.01% 1 : 15515 99.72%
 
46 QQ QQQ93 three of a kind 64 0.10% 1 : 969 99.71%
47 99 Q9993 three of a kind 64 0.10% 1 : 969 99.61%
48 33 Q9333 three of a kind 64 0.10% 1 : 969 99.50%
 
49 Q9 QQ993 two pairs 144 0.23% 1 : 430 99.40%
50 Q3 QQ933 two pairs 144 0.23% 1 : 430 99.17%
51 93 Q9933 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAQ93 one pair 384 0.62% 1 : 161 98.70%
53 KK KKQ93 one pair 384 0.62% 1 : 161 98.09%
54 AQ AQQ93 one pair 384 0.62% 1 : 161 97.47%
55 KQ KQQ93 one pair 384 0.62% 1 : 161 96.85%
56 QJ QQJ93 one pair 384 0.62% 1 : 161 96.23%
57 QT QQT93 one pair 384 0.62% 1 : 161 95.61%
58 Q8 QQ983 one pair 384 0.62% 1 : 161 94.99%
59 Q7 QQ973 one pair 384 0.62% 1 : 161 94.37%
60 Q6 QQ963 one pair 384 0.62% 1 : 161 93.75%
61 Q5 QQ953 one pair 384 0.62% 1 : 161 93.14%
62 Q4 QQ943 one pair 384 0.62% 1 : 161 92.52%
63 Q2 QQ932 one pair 384 0.62% 1 : 161 91.90%
64 JJ QJJ93 one pair 384 0.62% 1 : 161 91.28%
65 TT QTT93 one pair 384 0.62% 1 : 161 90.66%
66 A9 AQ993 one pair 384 0.62% 1 : 161 90.04%
67 K9 KQ993 one pair 384 0.62% 1 : 161 89.42%
68 J9 QJ993 one pair 384 0.62% 1 : 161 88.81%
69 T9 QT993 one pair 384 0.62% 1 : 161 88.19%
70 98 Q9983 one pair 384 0.62% 1 : 161 87.57%
71 97 Q9973 one pair 384 0.62% 1 : 161 86.95%
72 96 Q9963 one pair 384 0.62% 1 : 161 86.33%
73 95 Q9953 one pair 384 0.62% 1 : 161 85.71%
74 94 Q9943 one pair 384 0.62% 1 : 161 85.09%
75 92 Q9932 one pair 384 0.62% 1 : 161 84.47%
76 88 Q9883 one pair 384 0.62% 1 : 161 83.86%
77 77 Q9773 one pair 384 0.62% 1 : 161 83.24%
78 66 Q9663 one pair 384 0.62% 1 : 161 82.62%
79 55 Q9553 one pair 384 0.62% 1 : 161 82.00%
80 44 Q9443 one pair 384 0.62% 1 : 161 81.38%
81 A3 AQ933 one pair 384 0.62% 1 : 161 80.76%
82 K3 KQ933 one pair 384 0.62% 1 : 161 80.14%
83 J3 QJ933 one pair 384 0.62% 1 : 161 79.52%
84 T3 QT933 one pair 384 0.62% 1 : 161 78.91%
85 83 Q9833 one pair 384 0.62% 1 : 161 78.29%
86 73 Q9733 one pair 384 0.62% 1 : 161 77.67%
87 63 Q9633 one pair 384 0.62% 1 : 161 77.05%
88 53 Q9533 one pair 384 0.62% 1 : 161 76.43%
89 43 Q9433 one pair 384 0.62% 1 : 161 75.81%
90 32 Q9332 one pair 384 0.62% 1 : 161 75.19%
91 22 Q9322 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKQ93 high card 1,020 1.64% 1 : 59.8 73.96%
93 AJ AQJ93 high card 1,020 1.64% 1 : 59.8 72.31%
94 AT AQT93 high card 1,020 1.64% 1 : 59.8 70.67%
95 A8 AQ983 high card 1,020 1.64% 1 : 59.8 69.03%
96 A7 AQ973 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 AQ963 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 AQ953 high card 1,020 1.64% 1 : 59.8 64.10%
99 A4 AQ943 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AQ932 high card 1,020 1.64% 1 : 59.8 60.81%
101 KJ KQJ93 high card 1,020 1.64% 1 : 59.8 59.16%
102 KT KQT93 high card 1,020 1.64% 1 : 59.8 57.52%
103 K8 KQ983 high card 1,020 1.64% 1 : 59.8 55.88%
104 K7 KQ973 high card 1,020 1.64% 1 : 59.8 54.23%
105 K6 KQ963 high card 1,020 1.64% 1 : 59.8 52.59%
106 K5 KQ953 high card 1,020 1.64% 1 : 59.8 50.95%
107 K4 KQ943 high card 1,020 1.64% 1 : 59.8 49.30%
108 K2 KQ932 high card 1,020 1.64% 1 : 59.8 47.66%
109 JT QJT93 high card 1,020 1.64% 1 : 59.8 46.02%
110 J8 QJ983 high card 1,020 1.64% 1 : 59.8 44.37%
111 J7 QJ973 high card 1,020 1.64% 1 : 59.8 42.73%
112 J6 QJ963 high card 1,020 1.64% 1 : 59.8 41.09%
113 J5 QJ953 high card 1,020 1.64% 1 : 59.8 39.44%
114 J4 QJ943 high card 1,020 1.64% 1 : 59.8 37.80%
115 J2 QJ932 high card 1,020 1.64% 1 : 59.8 36.16%
116 T8 QT983 high card 1,020 1.64% 1 : 59.8 34.51%
117 T7 QT973 high card 1,020 1.64% 1 : 59.8 32.87%
118 T6 QT963 high card 1,020 1.64% 1 : 59.8 31.23%
119 T5 QT953 high card 1,020 1.64% 1 : 59.8 29.58%
120 T4 QT943 high card 1,020 1.64% 1 : 59.8 27.94%
121 T2 QT932 high card 1,020 1.64% 1 : 59.8 26.30%
122 87 Q9873 high card 1,020 1.64% 1 : 59.8 24.65%
123 86 Q9863 high card 1,020 1.64% 1 : 59.8 23.01%
124 85 Q9853 high card 1,020 1.64% 1 : 59.8 21.37%
125 84 Q9843 high card 1,020 1.64% 1 : 59.8 19.72%
126 82 Q9832 high card 1,020 1.64% 1 : 59.8 18.08%
127 76 Q9763 high card 1,020 1.64% 1 : 59.8 16.43%
128 75 Q9753 high card 1,020 1.64% 1 : 59.8 14.79%
129 74 Q9743 high card 1,020 1.64% 1 : 59.8 13.15%
130 72 Q9732 high card 1,020 1.64% 1 : 59.8 11.50%
131 65 Q9653 high card 1,020 1.64% 1 : 59.8 9.86%
132 64 Q9643 high card 1,020 1.64% 1 : 59.8 8.22%
133 62 Q9632 high card 1,020 1.64% 1 : 59.8 6.57%
134 54 Q9543 high card 1,020 1.64% 1 : 59.8 4.93%
135 52 Q9532 high card 1,020 1.64% 1 : 59.8 3.29%
136 42 Q9432 high card 1,020 1.64% 1 : 59.8 1.64%