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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 AKQ75 flush 4 0.01% 1 : 15515 100.00%
2 KJs AKJ75 flush 4 0.01% 1 : 15515 99.99%
3 KTs AKT75 flush 4 0.01% 1 : 15515 99.99%
4 K9s AK975 flush 4 0.01% 1 : 15515 99.98%
5 K8s AK875 flush 4 0.01% 1 : 15515 99.97%
6 K6s AK765 flush 4 0.01% 1 : 15515 99.97%
7 K4s AK754 flush 4 0.01% 1 : 15515 99.96%
8 K3s AK753 flush 4 0.01% 1 : 15515 99.95%
9 K2s AK752 flush 4 0.01% 1 : 15515 99.95%
10 QJs AQJ75 flush 4 0.01% 1 : 15515 99.94%
11 QTs AQT75 flush 4 0.01% 1 : 15515 99.94%
12 Q9s AQ975 flush 4 0.01% 1 : 15515 99.93%
13 Q8s AQ875 flush 4 0.01% 1 : 15515 99.92%
14 Q6s AQ765 flush 4 0.01% 1 : 15515 99.92%
15 Q4s AQ754 flush 4 0.01% 1 : 15515 99.91%
16 Q3s AQ753 flush 4 0.01% 1 : 15515 99.90%
17 Q2s AQ752 flush 4 0.01% 1 : 15515 99.90%
18 JTs AJT75 flush 4 0.01% 1 : 15515 99.89%
19 J9s AJ975 flush 4 0.01% 1 : 15515 99.88%
20 J8s AJ875 flush 4 0.01% 1 : 15515 99.88%
21 J6s AJ765 flush 4 0.01% 1 : 15515 99.87%
22 J4s AJ754 flush 4 0.01% 1 : 15515 99.86%
23 J3s AJ753 flush 4 0.01% 1 : 15515 99.86%
24 J2s AJ752 flush 4 0.01% 1 : 15515 99.85%
25 T9s AT975 flush 4 0.01% 1 : 15515 99.85%
26 T8s AT875 flush 4 0.01% 1 : 15515 99.84%
27 T6s AT765 flush 4 0.01% 1 : 15515 99.83%
28 T4s AT754 flush 4 0.01% 1 : 15515 99.83%
29 T3s AT753 flush 4 0.01% 1 : 15515 99.82%
30 T2s AT752 flush 4 0.01% 1 : 15515 99.81%
31 98s A9875 flush 4 0.01% 1 : 15515 99.81%
32 96s A9765 flush 4 0.01% 1 : 15515 99.80%
33 94s A9754 flush 4 0.01% 1 : 15515 99.79%
34 93s A9753 flush 4 0.01% 1 : 15515 99.79%
35 92s A9752 flush 4 0.01% 1 : 15515 99.78%
36 86s A8765 flush 4 0.01% 1 : 15515 99.77%
37 84s A8754 flush 4 0.01% 1 : 15515 99.77%
38 83s A8753 flush 4 0.01% 1 : 15515 99.76%
39 82s A8752 flush 4 0.01% 1 : 15515 99.76%
40 64s A7654 flush 4 0.01% 1 : 15515 99.75%
41 63s A7653 flush 4 0.01% 1 : 15515 99.74%
42 62s A7652 flush 4 0.01% 1 : 15515 99.74%
43 43s A7543 flush 4 0.01% 1 : 15515 99.73%
44 42s A7542 flush 4 0.01% 1 : 15515 99.72%
45 32s A7532 flush 4 0.01% 1 : 15515 99.72%
 
46 AA AAA75 three of a kind 64 0.10% 1 : 969 99.71%
47 77 A7775 three of a kind 64 0.10% 1 : 969 99.61%
48 55 A7555 three of a kind 64 0.10% 1 : 969 99.50%
 
49 A7 AA775 two pairs 144 0.23% 1 : 430 99.40%
50 A5 AA755 two pairs 144 0.23% 1 : 430 99.17%
51 75 A7755 two pairs 144 0.23% 1 : 430 98.94%
 
52 AK AAK75 one pair 384 0.62% 1 : 161 98.70%
53 AQ AAQ75 one pair 384 0.62% 1 : 161 98.09%
54 AJ AAJ75 one pair 384 0.62% 1 : 161 97.47%
55 AT AAT75 one pair 384 0.62% 1 : 161 96.85%
56 A9 AA975 one pair 384 0.62% 1 : 161 96.23%
57 A8 AA875 one pair 384 0.62% 1 : 161 95.61%
58 A6 AA765 one pair 384 0.62% 1 : 161 94.99%
59 A4 AA754 one pair 384 0.62% 1 : 161 94.37%
60 A3 AA753 one pair 384 0.62% 1 : 161 93.75%
61 A2 AA752 one pair 384 0.62% 1 : 161 93.14%
62 KK AKK75 one pair 384 0.62% 1 : 161 92.52%
63 QQ AQQ75 one pair 384 0.62% 1 : 161 91.90%
64 JJ AJJ75 one pair 384 0.62% 1 : 161 91.28%
65 TT ATT75 one pair 384 0.62% 1 : 161 90.66%
66 99 A9975 one pair 384 0.62% 1 : 161 90.04%
67 88 A8875 one pair 384 0.62% 1 : 161 89.42%
68 K7 AK775 one pair 384 0.62% 1 : 161 88.81%
69 Q7 AQ775 one pair 384 0.62% 1 : 161 88.19%
70 J7 AJ775 one pair 384 0.62% 1 : 161 87.57%
71 T7 AT775 one pair 384 0.62% 1 : 161 86.95%
72 97 A9775 one pair 384 0.62% 1 : 161 86.33%
73 87 A8775 one pair 384 0.62% 1 : 161 85.71%
74 76 A7765 one pair 384 0.62% 1 : 161 85.09%
75 74 A7754 one pair 384 0.62% 1 : 161 84.47%
76 73 A7753 one pair 384 0.62% 1 : 161 83.86%
77 72 A7752 one pair 384 0.62% 1 : 161 83.24%
78 66 A7665 one pair 384 0.62% 1 : 161 82.62%
79 K5 AK755 one pair 384 0.62% 1 : 161 82.00%
80 Q5 AQ755 one pair 384 0.62% 1 : 161 81.38%
81 J5 AJ755 one pair 384 0.62% 1 : 161 80.76%
82 T5 AT755 one pair 384 0.62% 1 : 161 80.14%
83 95 A9755 one pair 384 0.62% 1 : 161 79.52%
84 85 A8755 one pair 384 0.62% 1 : 161 78.91%
85 65 A7655 one pair 384 0.62% 1 : 161 78.29%
86 54 A7554 one pair 384 0.62% 1 : 161 77.67%
87 53 A7553 one pair 384 0.62% 1 : 161 77.05%
88 52 A7552 one pair 384 0.62% 1 : 161 76.43%
89 44 A7544 one pair 384 0.62% 1 : 161 75.81%
90 33 A7533 one pair 384 0.62% 1 : 161 75.19%
91 22 A7522 one pair 384 0.62% 1 : 161 74.57%
 
92 KQ AKQ75 high card 1,020 1.64% 1 : 59.8 73.96%
93 KJ AKJ75 high card 1,020 1.64% 1 : 59.8 72.31%
94 KT AKT75 high card 1,020 1.64% 1 : 59.8 70.67%
95 K9 AK975 high card 1,020 1.64% 1 : 59.8 69.03%
96 K8 AK875 high card 1,020 1.64% 1 : 59.8 67.38%
97 K6 AK765 high card 1,020 1.64% 1 : 59.8 65.74%
98 K4 AK754 high card 1,020 1.64% 1 : 59.8 64.10%
99 K3 AK753 high card 1,020 1.64% 1 : 59.8 62.45%
100 K2 AK752 high card 1,020 1.64% 1 : 59.8 60.81%
101 QJ AQJ75 high card 1,020 1.64% 1 : 59.8 59.16%
102 QT AQT75 high card 1,020 1.64% 1 : 59.8 57.52%
103 Q9 AQ975 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q8 AQ875 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q6 AQ765 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q4 AQ754 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q3 AQ753 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q2 AQ752 high card 1,020 1.64% 1 : 59.8 47.66%
109 JT AJT75 high card 1,020 1.64% 1 : 59.8 46.02%
110 J9 AJ975 high card 1,020 1.64% 1 : 59.8 44.37%
111 J8 AJ875 high card 1,020 1.64% 1 : 59.8 42.73%
112 J6 AJ765 high card 1,020 1.64% 1 : 59.8 41.09%
113 J4 AJ754 high card 1,020 1.64% 1 : 59.8 39.44%
114 J3 AJ753 high card 1,020 1.64% 1 : 59.8 37.80%
115 J2 AJ752 high card 1,020 1.64% 1 : 59.8 36.16%
116 T9 AT975 high card 1,020 1.64% 1 : 59.8 34.51%
117 T8 AT875 high card 1,020 1.64% 1 : 59.8 32.87%
118 T6 AT765 high card 1,020 1.64% 1 : 59.8 31.23%
119 T4 AT754 high card 1,020 1.64% 1 : 59.8 29.58%
120 T3 AT753 high card 1,020 1.64% 1 : 59.8 27.94%
121 T2 AT752 high card 1,020 1.64% 1 : 59.8 26.30%
122 98 A9875 high card 1,020 1.64% 1 : 59.8 24.65%
123 96 A9765 high card 1,020 1.64% 1 : 59.8 23.01%
124 94 A9754 high card 1,020 1.64% 1 : 59.8 21.37%
125 93 A9753 high card 1,020 1.64% 1 : 59.8 19.72%
126 92 A9752 high card 1,020 1.64% 1 : 59.8 18.08%
127 86 A8765 high card 1,020 1.64% 1 : 59.8 16.43%
128 84 A8754 high card 1,020 1.64% 1 : 59.8 14.79%
129 83 A8753 high card 1,020 1.64% 1 : 59.8 13.15%
130 82 A8752 high card 1,020 1.64% 1 : 59.8 11.50%
131 64 A7654 high card 1,020 1.64% 1 : 59.8 9.86%
132 63 A7653 high card 1,020 1.64% 1 : 59.8 8.22%
133 62 A7652 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 A7543 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 A7542 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 A7532 high card 1,020 1.64% 1 : 59.8 1.64%