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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 AKT75 flush 4 0.01% 1 : 15515 100.00%
2 AQs AQT75 flush 4 0.01% 1 : 15515 99.99%
3 AJs AJT75 flush 4 0.01% 1 : 15515 99.99%
4 A9s AT975 flush 4 0.01% 1 : 15515 99.98%
5 A8s AT875 flush 4 0.01% 1 : 15515 99.97%
6 A6s AT765 flush 4 0.01% 1 : 15515 99.97%
7 A4s AT754 flush 4 0.01% 1 : 15515 99.96%
8 A3s AT753 flush 4 0.01% 1 : 15515 99.95%
9 A2s AT752 flush 4 0.01% 1 : 15515 99.95%
10 KQs KQT75 flush 4 0.01% 1 : 15515 99.94%
11 KJs KJT75 flush 4 0.01% 1 : 15515 99.94%
12 K9s KT975 flush 4 0.01% 1 : 15515 99.93%
13 K8s KT875 flush 4 0.01% 1 : 15515 99.92%
14 K6s KT765 flush 4 0.01% 1 : 15515 99.92%
15 K4s KT754 flush 4 0.01% 1 : 15515 99.91%
16 K3s KT753 flush 4 0.01% 1 : 15515 99.90%
17 K2s KT752 flush 4 0.01% 1 : 15515 99.90%
18 QJs QJT75 flush 4 0.01% 1 : 15515 99.89%
19 Q9s QT975 flush 4 0.01% 1 : 15515 99.88%
20 Q8s QT875 flush 4 0.01% 1 : 15515 99.88%
21 Q6s QT765 flush 4 0.01% 1 : 15515 99.87%
22 Q4s QT754 flush 4 0.01% 1 : 15515 99.86%
23 Q3s QT753 flush 4 0.01% 1 : 15515 99.86%
24 Q2s QT752 flush 4 0.01% 1 : 15515 99.85%
25 J9s JT975 flush 4 0.01% 1 : 15515 99.85%
26 J8s JT875 flush 4 0.01% 1 : 15515 99.84%
27 J6s JT765 flush 4 0.01% 1 : 15515 99.83%
28 J4s JT754 flush 4 0.01% 1 : 15515 99.83%
29 J3s JT753 flush 4 0.01% 1 : 15515 99.82%
30 J2s JT752 flush 4 0.01% 1 : 15515 99.81%
31 98s T9875 flush 4 0.01% 1 : 15515 99.81%
32 96s T9765 flush 4 0.01% 1 : 15515 99.80%
33 94s T9754 flush 4 0.01% 1 : 15515 99.79%
34 93s T9753 flush 4 0.01% 1 : 15515 99.79%
35 92s T9752 flush 4 0.01% 1 : 15515 99.78%
36 86s T8765 flush 4 0.01% 1 : 15515 99.77%
37 84s T8754 flush 4 0.01% 1 : 15515 99.77%
38 83s T8753 flush 4 0.01% 1 : 15515 99.76%
39 82s T8752 flush 4 0.01% 1 : 15515 99.76%
40 64s T7654 flush 4 0.01% 1 : 15515 99.75%
41 63s T7653 flush 4 0.01% 1 : 15515 99.74%
42 62s T7652 flush 4 0.01% 1 : 15515 99.74%
43 43s T7543 flush 4 0.01% 1 : 15515 99.73%
44 42s T7542 flush 4 0.01% 1 : 15515 99.72%
45 32s T7532 flush 4 0.01% 1 : 15515 99.72%
 
46 TT TTT75 three of a kind 64 0.10% 1 : 969 99.71%
47 77 T7775 three of a kind 64 0.10% 1 : 969 99.61%
48 55 T7555 three of a kind 64 0.10% 1 : 969 99.50%
 
49 T7 TT775 two pairs 144 0.23% 1 : 430 99.40%
50 T5 TT755 two pairs 144 0.23% 1 : 430 99.17%
51 75 T7755 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAT75 one pair 384 0.62% 1 : 161 98.70%
53 KK KKT75 one pair 384 0.62% 1 : 161 98.09%
54 QQ QQT75 one pair 384 0.62% 1 : 161 97.47%
55 JJ JJT75 one pair 384 0.62% 1 : 161 96.85%
56 AT ATT75 one pair 384 0.62% 1 : 161 96.23%
57 KT KTT75 one pair 384 0.62% 1 : 161 95.61%
58 QT QTT75 one pair 384 0.62% 1 : 161 94.99%
59 JT JTT75 one pair 384 0.62% 1 : 161 94.37%
60 T9 TT975 one pair 384 0.62% 1 : 161 93.75%
61 T8 TT875 one pair 384 0.62% 1 : 161 93.14%
62 T6 TT765 one pair 384 0.62% 1 : 161 92.52%
63 T4 TT754 one pair 384 0.62% 1 : 161 91.90%
64 T3 TT753 one pair 384 0.62% 1 : 161 91.28%
65 T2 TT752 one pair 384 0.62% 1 : 161 90.66%
66 99 T9975 one pair 384 0.62% 1 : 161 90.04%
67 88 T8875 one pair 384 0.62% 1 : 161 89.42%
68 A7 AT775 one pair 384 0.62% 1 : 161 88.81%
69 K7 KT775 one pair 384 0.62% 1 : 161 88.19%
70 Q7 QT775 one pair 384 0.62% 1 : 161 87.57%
71 J7 JT775 one pair 384 0.62% 1 : 161 86.95%
72 97 T9775 one pair 384 0.62% 1 : 161 86.33%
73 87 T8775 one pair 384 0.62% 1 : 161 85.71%
74 76 T7765 one pair 384 0.62% 1 : 161 85.09%
75 74 T7754 one pair 384 0.62% 1 : 161 84.47%
76 73 T7753 one pair 384 0.62% 1 : 161 83.86%
77 72 T7752 one pair 384 0.62% 1 : 161 83.24%
78 66 T7665 one pair 384 0.62% 1 : 161 82.62%
79 A5 AT755 one pair 384 0.62% 1 : 161 82.00%
80 K5 KT755 one pair 384 0.62% 1 : 161 81.38%
81 Q5 QT755 one pair 384 0.62% 1 : 161 80.76%
82 J5 JT755 one pair 384 0.62% 1 : 161 80.14%
83 95 T9755 one pair 384 0.62% 1 : 161 79.52%
84 85 T8755 one pair 384 0.62% 1 : 161 78.91%
85 65 T7655 one pair 384 0.62% 1 : 161 78.29%
86 54 T7554 one pair 384 0.62% 1 : 161 77.67%
87 53 T7553 one pair 384 0.62% 1 : 161 77.05%
88 52 T7552 one pair 384 0.62% 1 : 161 76.43%
89 44 T7544 one pair 384 0.62% 1 : 161 75.81%
90 33 T7533 one pair 384 0.62% 1 : 161 75.19%
91 22 T7522 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKT75 high card 1,020 1.64% 1 : 59.8 73.96%
93 AQ AQT75 high card 1,020 1.64% 1 : 59.8 72.31%
94 AJ AJT75 high card 1,020 1.64% 1 : 59.8 70.67%
95 A9 AT975 high card 1,020 1.64% 1 : 59.8 69.03%
96 A8 AT875 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 AT765 high card 1,020 1.64% 1 : 59.8 65.74%
98 A4 AT754 high card 1,020 1.64% 1 : 59.8 64.10%
99 A3 AT753 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AT752 high card 1,020 1.64% 1 : 59.8 60.81%
101 KQ KQT75 high card 1,020 1.64% 1 : 59.8 59.16%
102 KJ KJT75 high card 1,020 1.64% 1 : 59.8 57.52%
103 K9 KT975 high card 1,020 1.64% 1 : 59.8 55.88%
104 K8 KT875 high card 1,020 1.64% 1 : 59.8 54.23%
105 K6 KT765 high card 1,020 1.64% 1 : 59.8 52.59%
106 K4 KT754 high card 1,020 1.64% 1 : 59.8 50.95%
107 K3 KT753 high card 1,020 1.64% 1 : 59.8 49.30%
108 K2 KT752 high card 1,020 1.64% 1 : 59.8 47.66%
109 QJ QJT75 high card 1,020 1.64% 1 : 59.8 46.02%
110 Q9 QT975 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q8 QT875 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q6 QT765 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q4 QT754 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q3 QT753 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q2 QT752 high card 1,020 1.64% 1 : 59.8 36.16%
116 J9 JT975 high card 1,020 1.64% 1 : 59.8 34.51%
117 J8 JT875 high card 1,020 1.64% 1 : 59.8 32.87%
118 J6 JT765 high card 1,020 1.64% 1 : 59.8 31.23%
119 J4 JT754 high card 1,020 1.64% 1 : 59.8 29.58%
120 J3 JT753 high card 1,020 1.64% 1 : 59.8 27.94%
121 J2 JT752 high card 1,020 1.64% 1 : 59.8 26.30%
122 98 T9875 high card 1,020 1.64% 1 : 59.8 24.65%
123 96 T9765 high card 1,020 1.64% 1 : 59.8 23.01%
124 94 T9754 high card 1,020 1.64% 1 : 59.8 21.37%
125 93 T9753 high card 1,020 1.64% 1 : 59.8 19.72%
126 92 T9752 high card 1,020 1.64% 1 : 59.8 18.08%
127 86 T8765 high card 1,020 1.64% 1 : 59.8 16.43%
128 84 T8754 high card 1,020 1.64% 1 : 59.8 14.79%
129 83 T8753 high card 1,020 1.64% 1 : 59.8 13.15%
130 82 T8752 high card 1,020 1.64% 1 : 59.8 11.50%
131 64 T7654 high card 1,020 1.64% 1 : 59.8 9.86%
132 63 T7653 high card 1,020 1.64% 1 : 59.8 8.22%
133 62 T7652 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 T7543 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 T7542 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 T7532 high card 1,020 1.64% 1 : 59.8 1.64%