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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 AKQ93 flush 4 0.01% 1 : 15515 100.00%
2 KJs AKJ93 flush 4 0.01% 1 : 15515 99.99%
3 KTs AKT93 flush 4 0.01% 1 : 15515 99.99%
4 K8s AK983 flush 4 0.01% 1 : 15515 99.98%
5 K7s AK973 flush 4 0.01% 1 : 15515 99.97%
6 K6s AK963 flush 4 0.01% 1 : 15515 99.97%
7 K5s AK953 flush 4 0.01% 1 : 15515 99.96%
8 K4s AK943 flush 4 0.01% 1 : 15515 99.95%
9 K2s AK932 flush 4 0.01% 1 : 15515 99.95%
10 QJs AQJ93 flush 4 0.01% 1 : 15515 99.94%
11 QTs AQT93 flush 4 0.01% 1 : 15515 99.94%
12 Q8s AQ983 flush 4 0.01% 1 : 15515 99.93%
13 Q7s AQ973 flush 4 0.01% 1 : 15515 99.92%
14 Q6s AQ963 flush 4 0.01% 1 : 15515 99.92%
15 Q5s AQ953 flush 4 0.01% 1 : 15515 99.91%
16 Q4s AQ943 flush 4 0.01% 1 : 15515 99.90%
17 Q2s AQ932 flush 4 0.01% 1 : 15515 99.90%
18 JTs AJT93 flush 4 0.01% 1 : 15515 99.89%
19 J8s AJ983 flush 4 0.01% 1 : 15515 99.88%
20 J7s AJ973 flush 4 0.01% 1 : 15515 99.88%
21 J6s AJ963 flush 4 0.01% 1 : 15515 99.87%
22 J5s AJ953 flush 4 0.01% 1 : 15515 99.86%
23 J4s AJ943 flush 4 0.01% 1 : 15515 99.86%
24 J2s AJ932 flush 4 0.01% 1 : 15515 99.85%
25 T8s AT983 flush 4 0.01% 1 : 15515 99.85%
26 T7s AT973 flush 4 0.01% 1 : 15515 99.84%
27 T6s AT963 flush 4 0.01% 1 : 15515 99.83%
28 T5s AT953 flush 4 0.01% 1 : 15515 99.83%
29 T4s AT943 flush 4 0.01% 1 : 15515 99.82%
30 T2s AT932 flush 4 0.01% 1 : 15515 99.81%
31 87s A9873 flush 4 0.01% 1 : 15515 99.81%
32 86s A9863 flush 4 0.01% 1 : 15515 99.80%
33 85s A9853 flush 4 0.01% 1 : 15515 99.79%
34 84s A9843 flush 4 0.01% 1 : 15515 99.79%
35 82s A9832 flush 4 0.01% 1 : 15515 99.78%
36 76s A9763 flush 4 0.01% 1 : 15515 99.77%
37 75s A9753 flush 4 0.01% 1 : 15515 99.77%
38 74s A9743 flush 4 0.01% 1 : 15515 99.76%
39 72s A9732 flush 4 0.01% 1 : 15515 99.76%
40 65s A9653 flush 4 0.01% 1 : 15515 99.75%
41 64s A9643 flush 4 0.01% 1 : 15515 99.74%
42 62s A9632 flush 4 0.01% 1 : 15515 99.74%
43 54s A9543 flush 4 0.01% 1 : 15515 99.73%
44 52s A9532 flush 4 0.01% 1 : 15515 99.72%
45 42s A9432 flush 4 0.01% 1 : 15515 99.72%
 
46 AA AAA93 three of a kind 64 0.10% 1 : 969 99.71%
47 99 A9993 three of a kind 64 0.10% 1 : 969 99.61%
48 33 A9333 three of a kind 64 0.10% 1 : 969 99.50%
 
49 A9 AA993 two pairs 144 0.23% 1 : 430 99.40%
50 A3 AA933 two pairs 144 0.23% 1 : 430 99.17%
51 93 A9933 two pairs 144 0.23% 1 : 430 98.94%
 
52 AK AAK93 one pair 384 0.62% 1 : 161 98.70%
53 AQ AAQ93 one pair 384 0.62% 1 : 161 98.09%
54 AJ AAJ93 one pair 384 0.62% 1 : 161 97.47%
55 AT AAT93 one pair 384 0.62% 1 : 161 96.85%
56 A8 AA983 one pair 384 0.62% 1 : 161 96.23%
57 A7 AA973 one pair 384 0.62% 1 : 161 95.61%
58 A6 AA963 one pair 384 0.62% 1 : 161 94.99%
59 A5 AA953 one pair 384 0.62% 1 : 161 94.37%
60 A4 AA943 one pair 384 0.62% 1 : 161 93.75%
61 A2 AA932 one pair 384 0.62% 1 : 161 93.14%
62 KK AKK93 one pair 384 0.62% 1 : 161 92.52%
63 QQ AQQ93 one pair 384 0.62% 1 : 161 91.90%
64 JJ AJJ93 one pair 384 0.62% 1 : 161 91.28%
65 TT ATT93 one pair 384 0.62% 1 : 161 90.66%
66 K9 AK993 one pair 384 0.62% 1 : 161 90.04%
67 Q9 AQ993 one pair 384 0.62% 1 : 161 89.42%
68 J9 AJ993 one pair 384 0.62% 1 : 161 88.81%
69 T9 AT993 one pair 384 0.62% 1 : 161 88.19%
70 98 A9983 one pair 384 0.62% 1 : 161 87.57%
71 97 A9973 one pair 384 0.62% 1 : 161 86.95%
72 96 A9963 one pair 384 0.62% 1 : 161 86.33%
73 95 A9953 one pair 384 0.62% 1 : 161 85.71%
74 94 A9943 one pair 384 0.62% 1 : 161 85.09%
75 92 A9932 one pair 384 0.62% 1 : 161 84.47%
76 88 A9883 one pair 384 0.62% 1 : 161 83.86%
77 77 A9773 one pair 384 0.62% 1 : 161 83.24%
78 66 A9663 one pair 384 0.62% 1 : 161 82.62%
79 55 A9553 one pair 384 0.62% 1 : 161 82.00%
80 44 A9443 one pair 384 0.62% 1 : 161 81.38%
81 K3 AK933 one pair 384 0.62% 1 : 161 80.76%
82 Q3 AQ933 one pair 384 0.62% 1 : 161 80.14%
83 J3 AJ933 one pair 384 0.62% 1 : 161 79.52%
84 T3 AT933 one pair 384 0.62% 1 : 161 78.91%
85 83 A9833 one pair 384 0.62% 1 : 161 78.29%
86 73 A9733 one pair 384 0.62% 1 : 161 77.67%
87 63 A9633 one pair 384 0.62% 1 : 161 77.05%
88 53 A9533 one pair 384 0.62% 1 : 161 76.43%
89 43 A9433 one pair 384 0.62% 1 : 161 75.81%
90 32 A9332 one pair 384 0.62% 1 : 161 75.19%
91 22 A9322 one pair 384 0.62% 1 : 161 74.57%
 
92 KQ AKQ93 high card 1,020 1.64% 1 : 59.8 73.96%
93 KJ AKJ93 high card 1,020 1.64% 1 : 59.8 72.31%
94 KT AKT93 high card 1,020 1.64% 1 : 59.8 70.67%
95 K8 AK983 high card 1,020 1.64% 1 : 59.8 69.03%
96 K7 AK973 high card 1,020 1.64% 1 : 59.8 67.38%
97 K6 AK963 high card 1,020 1.64% 1 : 59.8 65.74%
98 K5 AK953 high card 1,020 1.64% 1 : 59.8 64.10%
99 K4 AK943 high card 1,020 1.64% 1 : 59.8 62.45%
100 K2 AK932 high card 1,020 1.64% 1 : 59.8 60.81%
101 QJ AQJ93 high card 1,020 1.64% 1 : 59.8 59.16%
102 QT AQT93 high card 1,020 1.64% 1 : 59.8 57.52%
103 Q8 AQ983 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q7 AQ973 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q6 AQ963 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q5 AQ953 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q4 AQ943 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q2 AQ932 high card 1,020 1.64% 1 : 59.8 47.66%
109 JT AJT93 high card 1,020 1.64% 1 : 59.8 46.02%
110 J8 AJ983 high card 1,020 1.64% 1 : 59.8 44.37%
111 J7 AJ973 high card 1,020 1.64% 1 : 59.8 42.73%
112 J6 AJ963 high card 1,020 1.64% 1 : 59.8 41.09%
113 J5 AJ953 high card 1,020 1.64% 1 : 59.8 39.44%
114 J4 AJ943 high card 1,020 1.64% 1 : 59.8 37.80%
115 J2 AJ932 high card 1,020 1.64% 1 : 59.8 36.16%
116 T8 AT983 high card 1,020 1.64% 1 : 59.8 34.51%
117 T7 AT973 high card 1,020 1.64% 1 : 59.8 32.87%
118 T6 AT963 high card 1,020 1.64% 1 : 59.8 31.23%
119 T5 AT953 high card 1,020 1.64% 1 : 59.8 29.58%
120 T4 AT943 high card 1,020 1.64% 1 : 59.8 27.94%
121 T2 AT932 high card 1,020 1.64% 1 : 59.8 26.30%
122 87 A9873 high card 1,020 1.64% 1 : 59.8 24.65%
123 86 A9863 high card 1,020 1.64% 1 : 59.8 23.01%
124 85 A9853 high card 1,020 1.64% 1 : 59.8 21.37%
125 84 A9843 high card 1,020 1.64% 1 : 59.8 19.72%
126 82 A9832 high card 1,020 1.64% 1 : 59.8 18.08%
127 76 A9763 high card 1,020 1.64% 1 : 59.8 16.43%
128 75 A9753 high card 1,020 1.64% 1 : 59.8 14.79%
129 74 A9743 high card 1,020 1.64% 1 : 59.8 13.15%
130 72 A9732 high card 1,020 1.64% 1 : 59.8 11.50%
131 65 A9653 high card 1,020 1.64% 1 : 59.8 9.86%
132 64 A9643 high card 1,020 1.64% 1 : 59.8 8.22%
133 62 A9632 high card 1,020 1.64% 1 : 59.8 6.57%
134 54 A9543 high card 1,020 1.64% 1 : 59.8 4.93%
135 52 A9532 high card 1,020 1.64% 1 : 59.8 3.29%
136 42 A9432 high card 1,020 1.64% 1 : 59.8 1.64%