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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 AKT93 flush 4 0.01% 1 : 15515 100.00%
2 AQs AQT93 flush 4 0.01% 1 : 15515 99.99%
3 AJs AJT93 flush 4 0.01% 1 : 15515 99.99%
4 A8s AT983 flush 4 0.01% 1 : 15515 99.98%
5 A7s AT973 flush 4 0.01% 1 : 15515 99.97%
6 A6s AT963 flush 4 0.01% 1 : 15515 99.97%
7 A5s AT953 flush 4 0.01% 1 : 15515 99.96%
8 A4s AT943 flush 4 0.01% 1 : 15515 99.95%
9 A2s AT932 flush 4 0.01% 1 : 15515 99.95%
10 KQs KQT93 flush 4 0.01% 1 : 15515 99.94%
11 KJs KJT93 flush 4 0.01% 1 : 15515 99.94%
12 K8s KT983 flush 4 0.01% 1 : 15515 99.93%
13 K7s KT973 flush 4 0.01% 1 : 15515 99.92%
14 K6s KT963 flush 4 0.01% 1 : 15515 99.92%
15 K5s KT953 flush 4 0.01% 1 : 15515 99.91%
16 K4s KT943 flush 4 0.01% 1 : 15515 99.90%
17 K2s KT932 flush 4 0.01% 1 : 15515 99.90%
18 QJs QJT93 flush 4 0.01% 1 : 15515 99.89%
19 Q8s QT983 flush 4 0.01% 1 : 15515 99.88%
20 Q7s QT973 flush 4 0.01% 1 : 15515 99.88%
21 Q6s QT963 flush 4 0.01% 1 : 15515 99.87%
22 Q5s QT953 flush 4 0.01% 1 : 15515 99.86%
23 Q4s QT943 flush 4 0.01% 1 : 15515 99.86%
24 Q2s QT932 flush 4 0.01% 1 : 15515 99.85%
25 J8s JT983 flush 4 0.01% 1 : 15515 99.85%
26 J7s JT973 flush 4 0.01% 1 : 15515 99.84%
27 J6s JT963 flush 4 0.01% 1 : 15515 99.83%
28 J5s JT953 flush 4 0.01% 1 : 15515 99.83%
29 J4s JT943 flush 4 0.01% 1 : 15515 99.82%
30 J2s JT932 flush 4 0.01% 1 : 15515 99.81%
31 87s T9873 flush 4 0.01% 1 : 15515 99.81%
32 86s T9863 flush 4 0.01% 1 : 15515 99.80%
33 85s T9853 flush 4 0.01% 1 : 15515 99.79%
34 84s T9843 flush 4 0.01% 1 : 15515 99.79%
35 82s T9832 flush 4 0.01% 1 : 15515 99.78%
36 76s T9763 flush 4 0.01% 1 : 15515 99.77%
37 75s T9753 flush 4 0.01% 1 : 15515 99.77%
38 74s T9743 flush 4 0.01% 1 : 15515 99.76%
39 72s T9732 flush 4 0.01% 1 : 15515 99.76%
40 65s T9653 flush 4 0.01% 1 : 15515 99.75%
41 64s T9643 flush 4 0.01% 1 : 15515 99.74%
42 62s T9632 flush 4 0.01% 1 : 15515 99.74%
43 54s T9543 flush 4 0.01% 1 : 15515 99.73%
44 52s T9532 flush 4 0.01% 1 : 15515 99.72%
45 42s T9432 flush 4 0.01% 1 : 15515 99.72%
 
46 TT TTT93 three of a kind 64 0.10% 1 : 969 99.71%
47 99 T9993 three of a kind 64 0.10% 1 : 969 99.61%
48 33 T9333 three of a kind 64 0.10% 1 : 969 99.50%
 
49 T9 TT993 two pairs 144 0.23% 1 : 430 99.40%
50 T3 TT933 two pairs 144 0.23% 1 : 430 99.17%
51 93 T9933 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAT93 one pair 384 0.62% 1 : 161 98.70%
53 KK KKT93 one pair 384 0.62% 1 : 161 98.09%
54 QQ QQT93 one pair 384 0.62% 1 : 161 97.47%
55 JJ JJT93 one pair 384 0.62% 1 : 161 96.85%
56 AT ATT93 one pair 384 0.62% 1 : 161 96.23%
57 KT KTT93 one pair 384 0.62% 1 : 161 95.61%
58 QT QTT93 one pair 384 0.62% 1 : 161 94.99%
59 JT JTT93 one pair 384 0.62% 1 : 161 94.37%
60 T8 TT983 one pair 384 0.62% 1 : 161 93.75%
61 T7 TT973 one pair 384 0.62% 1 : 161 93.14%
62 T6 TT963 one pair 384 0.62% 1 : 161 92.52%
63 T5 TT953 one pair 384 0.62% 1 : 161 91.90%
64 T4 TT943 one pair 384 0.62% 1 : 161 91.28%
65 T2 TT932 one pair 384 0.62% 1 : 161 90.66%
66 A9 AT993 one pair 384 0.62% 1 : 161 90.04%
67 K9 KT993 one pair 384 0.62% 1 : 161 89.42%
68 Q9 QT993 one pair 384 0.62% 1 : 161 88.81%
69 J9 JT993 one pair 384 0.62% 1 : 161 88.19%
70 98 T9983 one pair 384 0.62% 1 : 161 87.57%
71 97 T9973 one pair 384 0.62% 1 : 161 86.95%
72 96 T9963 one pair 384 0.62% 1 : 161 86.33%
73 95 T9953 one pair 384 0.62% 1 : 161 85.71%
74 94 T9943 one pair 384 0.62% 1 : 161 85.09%
75 92 T9932 one pair 384 0.62% 1 : 161 84.47%
76 88 T9883 one pair 384 0.62% 1 : 161 83.86%
77 77 T9773 one pair 384 0.62% 1 : 161 83.24%
78 66 T9663 one pair 384 0.62% 1 : 161 82.62%
79 55 T9553 one pair 384 0.62% 1 : 161 82.00%
80 44 T9443 one pair 384 0.62% 1 : 161 81.38%
81 A3 AT933 one pair 384 0.62% 1 : 161 80.76%
82 K3 KT933 one pair 384 0.62% 1 : 161 80.14%
83 Q3 QT933 one pair 384 0.62% 1 : 161 79.52%
84 J3 JT933 one pair 384 0.62% 1 : 161 78.91%
85 83 T9833 one pair 384 0.62% 1 : 161 78.29%
86 73 T9733 one pair 384 0.62% 1 : 161 77.67%
87 63 T9633 one pair 384 0.62% 1 : 161 77.05%
88 53 T9533 one pair 384 0.62% 1 : 161 76.43%
89 43 T9433 one pair 384 0.62% 1 : 161 75.81%
90 32 T9332 one pair 384 0.62% 1 : 161 75.19%
91 22 T9322 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKT93 high card 1,020 1.64% 1 : 59.8 73.96%
93 AQ AQT93 high card 1,020 1.64% 1 : 59.8 72.31%
94 AJ AJT93 high card 1,020 1.64% 1 : 59.8 70.67%
95 A8 AT983 high card 1,020 1.64% 1 : 59.8 69.03%
96 A7 AT973 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 AT963 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 AT953 high card 1,020 1.64% 1 : 59.8 64.10%
99 A4 AT943 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AT932 high card 1,020 1.64% 1 : 59.8 60.81%
101 KQ KQT93 high card 1,020 1.64% 1 : 59.8 59.16%
102 KJ KJT93 high card 1,020 1.64% 1 : 59.8 57.52%
103 K8 KT983 high card 1,020 1.64% 1 : 59.8 55.88%
104 K7 KT973 high card 1,020 1.64% 1 : 59.8 54.23%
105 K6 KT963 high card 1,020 1.64% 1 : 59.8 52.59%
106 K5 KT953 high card 1,020 1.64% 1 : 59.8 50.95%
107 K4 KT943 high card 1,020 1.64% 1 : 59.8 49.30%
108 K2 KT932 high card 1,020 1.64% 1 : 59.8 47.66%
109 QJ QJT93 high card 1,020 1.64% 1 : 59.8 46.02%
110 Q8 QT983 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q7 QT973 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q6 QT963 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q5 QT953 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q4 QT943 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q2 QT932 high card 1,020 1.64% 1 : 59.8 36.16%
116 J8 JT983 high card 1,020 1.64% 1 : 59.8 34.51%
117 J7 JT973 high card 1,020 1.64% 1 : 59.8 32.87%
118 J6 JT963 high card 1,020 1.64% 1 : 59.8 31.23%
119 J5 JT953 high card 1,020 1.64% 1 : 59.8 29.58%
120 J4 JT943 high card 1,020 1.64% 1 : 59.8 27.94%
121 J2 JT932 high card 1,020 1.64% 1 : 59.8 26.30%
122 87 T9873 high card 1,020 1.64% 1 : 59.8 24.65%
123 86 T9863 high card 1,020 1.64% 1 : 59.8 23.01%
124 85 T9853 high card 1,020 1.64% 1 : 59.8 21.37%
125 84 T9843 high card 1,020 1.64% 1 : 59.8 19.72%
126 82 T9832 high card 1,020 1.64% 1 : 59.8 18.08%
127 76 T9763 high card 1,020 1.64% 1 : 59.8 16.43%
128 75 T9753 high card 1,020 1.64% 1 : 59.8 14.79%
129 74 T9743 high card 1,020 1.64% 1 : 59.8 13.15%
130 72 T9732 high card 1,020 1.64% 1 : 59.8 11.50%
131 65 T9653 high card 1,020 1.64% 1 : 59.8 9.86%
132 64 T9643 high card 1,020 1.64% 1 : 59.8 8.22%
133 62 T9632 high card 1,020 1.64% 1 : 59.8 6.57%
134 54 T9543 high card 1,020 1.64% 1 : 59.8 4.93%
135 52 T9532 high card 1,020 1.64% 1 : 59.8 3.29%
136 42 T9432 high card 1,020 1.64% 1 : 59.8 1.64%