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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 AQs AKQ75 flush 4 0.01% 1 : 15515 100.00%
2 AJs AKJ75 flush 4 0.01% 1 : 15515 99.99%
3 ATs AKT75 flush 4 0.01% 1 : 15515 99.99%
4 A9s AK975 flush 4 0.01% 1 : 15515 99.98%
5 A8s AK875 flush 4 0.01% 1 : 15515 99.97%
6 A6s AK765 flush 4 0.01% 1 : 15515 99.97%
7 A4s AK754 flush 4 0.01% 1 : 15515 99.96%
8 A3s AK753 flush 4 0.01% 1 : 15515 99.95%
9 A2s AK752 flush 4 0.01% 1 : 15515 99.95%
10 QJs KQJ75 flush 4 0.01% 1 : 15515 99.94%
11 QTs KQT75 flush 4 0.01% 1 : 15515 99.94%
12 Q9s KQ975 flush 4 0.01% 1 : 15515 99.93%
13 Q8s KQ875 flush 4 0.01% 1 : 15515 99.92%
14 Q6s KQ765 flush 4 0.01% 1 : 15515 99.92%
15 Q4s KQ754 flush 4 0.01% 1 : 15515 99.91%
16 Q3s KQ753 flush 4 0.01% 1 : 15515 99.90%
17 Q2s KQ752 flush 4 0.01% 1 : 15515 99.90%
18 JTs KJT75 flush 4 0.01% 1 : 15515 99.89%
19 J9s KJ975 flush 4 0.01% 1 : 15515 99.88%
20 J8s KJ875 flush 4 0.01% 1 : 15515 99.88%
21 J6s KJ765 flush 4 0.01% 1 : 15515 99.87%
22 J4s KJ754 flush 4 0.01% 1 : 15515 99.86%
23 J3s KJ753 flush 4 0.01% 1 : 15515 99.86%
24 J2s KJ752 flush 4 0.01% 1 : 15515 99.85%
25 T9s KT975 flush 4 0.01% 1 : 15515 99.85%
26 T8s KT875 flush 4 0.01% 1 : 15515 99.84%
27 T6s KT765 flush 4 0.01% 1 : 15515 99.83%
28 T4s KT754 flush 4 0.01% 1 : 15515 99.83%
29 T3s KT753 flush 4 0.01% 1 : 15515 99.82%
30 T2s KT752 flush 4 0.01% 1 : 15515 99.81%
31 98s K9875 flush 4 0.01% 1 : 15515 99.81%
32 96s K9765 flush 4 0.01% 1 : 15515 99.80%
33 94s K9754 flush 4 0.01% 1 : 15515 99.79%
34 93s K9753 flush 4 0.01% 1 : 15515 99.79%
35 92s K9752 flush 4 0.01% 1 : 15515 99.78%
36 86s K8765 flush 4 0.01% 1 : 15515 99.77%
37 84s K8754 flush 4 0.01% 1 : 15515 99.77%
38 83s K8753 flush 4 0.01% 1 : 15515 99.76%
39 82s K8752 flush 4 0.01% 1 : 15515 99.76%
40 64s K7654 flush 4 0.01% 1 : 15515 99.75%
41 63s K7653 flush 4 0.01% 1 : 15515 99.74%
42 62s K7652 flush 4 0.01% 1 : 15515 99.74%
43 43s K7543 flush 4 0.01% 1 : 15515 99.73%
44 42s K7542 flush 4 0.01% 1 : 15515 99.72%
45 32s K7532 flush 4 0.01% 1 : 15515 99.72%
 
46 KK KKK75 three of a kind 64 0.10% 1 : 969 99.71%
47 77 K7775 three of a kind 64 0.10% 1 : 969 99.61%
48 55 K7555 three of a kind 64 0.10% 1 : 969 99.50%
 
49 K7 KK775 two pairs 144 0.23% 1 : 430 99.40%
50 K5 KK755 two pairs 144 0.23% 1 : 430 99.17%
51 75 K7755 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAK75 one pair 384 0.62% 1 : 161 98.70%
53 AK AKK75 one pair 384 0.62% 1 : 161 98.09%
54 KQ KKQ75 one pair 384 0.62% 1 : 161 97.47%
55 KJ KKJ75 one pair 384 0.62% 1 : 161 96.85%
56 KT KKT75 one pair 384 0.62% 1 : 161 96.23%
57 K9 KK975 one pair 384 0.62% 1 : 161 95.61%
58 K8 KK875 one pair 384 0.62% 1 : 161 94.99%
59 K6 KK765 one pair 384 0.62% 1 : 161 94.37%
60 K4 KK754 one pair 384 0.62% 1 : 161 93.75%
61 K3 KK753 one pair 384 0.62% 1 : 161 93.14%
62 K2 KK752 one pair 384 0.62% 1 : 161 92.52%
63 QQ KQQ75 one pair 384 0.62% 1 : 161 91.90%
64 JJ KJJ75 one pair 384 0.62% 1 : 161 91.28%
65 TT KTT75 one pair 384 0.62% 1 : 161 90.66%
66 99 K9975 one pair 384 0.62% 1 : 161 90.04%
67 88 K8875 one pair 384 0.62% 1 : 161 89.42%
68 A7 AK775 one pair 384 0.62% 1 : 161 88.81%
69 Q7 KQ775 one pair 384 0.62% 1 : 161 88.19%
70 J7 KJ775 one pair 384 0.62% 1 : 161 87.57%
71 T7 KT775 one pair 384 0.62% 1 : 161 86.95%
72 97 K9775 one pair 384 0.62% 1 : 161 86.33%
73 87 K8775 one pair 384 0.62% 1 : 161 85.71%
74 76 K7765 one pair 384 0.62% 1 : 161 85.09%
75 74 K7754 one pair 384 0.62% 1 : 161 84.47%
76 73 K7753 one pair 384 0.62% 1 : 161 83.86%
77 72 K7752 one pair 384 0.62% 1 : 161 83.24%
78 66 K7665 one pair 384 0.62% 1 : 161 82.62%
79 A5 AK755 one pair 384 0.62% 1 : 161 82.00%
80 Q5 KQ755 one pair 384 0.62% 1 : 161 81.38%
81 J5 KJ755 one pair 384 0.62% 1 : 161 80.76%
82 T5 KT755 one pair 384 0.62% 1 : 161 80.14%
83 95 K9755 one pair 384 0.62% 1 : 161 79.52%
84 85 K8755 one pair 384 0.62% 1 : 161 78.91%
85 65 K7655 one pair 384 0.62% 1 : 161 78.29%
86 54 K7554 one pair 384 0.62% 1 : 161 77.67%
87 53 K7553 one pair 384 0.62% 1 : 161 77.05%
88 52 K7552 one pair 384 0.62% 1 : 161 76.43%
89 44 K7544 one pair 384 0.62% 1 : 161 75.81%
90 33 K7533 one pair 384 0.62% 1 : 161 75.19%
91 22 K7522 one pair 384 0.62% 1 : 161 74.57%
 
92 AQ AKQ75 high card 1,020 1.64% 1 : 59.8 73.96%
93 AJ AKJ75 high card 1,020 1.64% 1 : 59.8 72.31%
94 AT AKT75 high card 1,020 1.64% 1 : 59.8 70.67%
95 A9 AK975 high card 1,020 1.64% 1 : 59.8 69.03%
96 A8 AK875 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 AK765 high card 1,020 1.64% 1 : 59.8 65.74%
98 A4 AK754 high card 1,020 1.64% 1 : 59.8 64.10%
99 A3 AK753 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AK752 high card 1,020 1.64% 1 : 59.8 60.81%
101 QJ KQJ75 high card 1,020 1.64% 1 : 59.8 59.16%
102 QT KQT75 high card 1,020 1.64% 1 : 59.8 57.52%
103 Q9 KQ975 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q8 KQ875 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q6 KQ765 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q4 KQ754 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q3 KQ753 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q2 KQ752 high card 1,020 1.64% 1 : 59.8 47.66%
109 JT KJT75 high card 1,020 1.64% 1 : 59.8 46.02%
110 J9 KJ975 high card 1,020 1.64% 1 : 59.8 44.37%
111 J8 KJ875 high card 1,020 1.64% 1 : 59.8 42.73%
112 J6 KJ765 high card 1,020 1.64% 1 : 59.8 41.09%
113 J4 KJ754 high card 1,020 1.64% 1 : 59.8 39.44%
114 J3 KJ753 high card 1,020 1.64% 1 : 59.8 37.80%
115 J2 KJ752 high card 1,020 1.64% 1 : 59.8 36.16%
116 T9 KT975 high card 1,020 1.64% 1 : 59.8 34.51%
117 T8 KT875 high card 1,020 1.64% 1 : 59.8 32.87%
118 T6 KT765 high card 1,020 1.64% 1 : 59.8 31.23%
119 T4 KT754 high card 1,020 1.64% 1 : 59.8 29.58%
120 T3 KT753 high card 1,020 1.64% 1 : 59.8 27.94%
121 T2 KT752 high card 1,020 1.64% 1 : 59.8 26.30%
122 98 K9875 high card 1,020 1.64% 1 : 59.8 24.65%
123 96 K9765 high card 1,020 1.64% 1 : 59.8 23.01%
124 94 K9754 high card 1,020 1.64% 1 : 59.8 21.37%
125 93 K9753 high card 1,020 1.64% 1 : 59.8 19.72%
126 92 K9752 high card 1,020 1.64% 1 : 59.8 18.08%
127 86 K8765 high card 1,020 1.64% 1 : 59.8 16.43%
128 84 K8754 high card 1,020 1.64% 1 : 59.8 14.79%
129 83 K8753 high card 1,020 1.64% 1 : 59.8 13.15%
130 82 K8752 high card 1,020 1.64% 1 : 59.8 11.50%
131 64 K7654 high card 1,020 1.64% 1 : 59.8 9.86%
132 63 K7653 high card 1,020 1.64% 1 : 59.8 8.22%
133 62 K7652 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 K7543 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 K7542 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 K7532 high card 1,020 1.64% 1 : 59.8 1.64%