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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 AKQ75 flush 4 0.01% 1 : 15515 100.00%
2 AJs AQJ75 flush 4 0.01% 1 : 15515 99.99%
3 ATs AQT75 flush 4 0.01% 1 : 15515 99.99%
4 A9s AQ975 flush 4 0.01% 1 : 15515 99.98%
5 A8s AQ875 flush 4 0.01% 1 : 15515 99.97%
6 A6s AQ765 flush 4 0.01% 1 : 15515 99.97%
7 A4s AQ754 flush 4 0.01% 1 : 15515 99.96%
8 A3s AQ753 flush 4 0.01% 1 : 15515 99.95%
9 A2s AQ752 flush 4 0.01% 1 : 15515 99.95%
10 KJs KQJ75 flush 4 0.01% 1 : 15515 99.94%
11 KTs KQT75 flush 4 0.01% 1 : 15515 99.94%
12 K9s KQ975 flush 4 0.01% 1 : 15515 99.93%
13 K8s KQ875 flush 4 0.01% 1 : 15515 99.92%
14 K6s KQ765 flush 4 0.01% 1 : 15515 99.92%
15 K4s KQ754 flush 4 0.01% 1 : 15515 99.91%
16 K3s KQ753 flush 4 0.01% 1 : 15515 99.90%
17 K2s KQ752 flush 4 0.01% 1 : 15515 99.90%
18 JTs QJT75 flush 4 0.01% 1 : 15515 99.89%
19 J9s QJ975 flush 4 0.01% 1 : 15515 99.88%
20 J8s QJ875 flush 4 0.01% 1 : 15515 99.88%
21 J6s QJ765 flush 4 0.01% 1 : 15515 99.87%
22 J4s QJ754 flush 4 0.01% 1 : 15515 99.86%
23 J3s QJ753 flush 4 0.01% 1 : 15515 99.86%
24 J2s QJ752 flush 4 0.01% 1 : 15515 99.85%
25 T9s QT975 flush 4 0.01% 1 : 15515 99.85%
26 T8s QT875 flush 4 0.01% 1 : 15515 99.84%
27 T6s QT765 flush 4 0.01% 1 : 15515 99.83%
28 T4s QT754 flush 4 0.01% 1 : 15515 99.83%
29 T3s QT753 flush 4 0.01% 1 : 15515 99.82%
30 T2s QT752 flush 4 0.01% 1 : 15515 99.81%
31 98s Q9875 flush 4 0.01% 1 : 15515 99.81%
32 96s Q9765 flush 4 0.01% 1 : 15515 99.80%
33 94s Q9754 flush 4 0.01% 1 : 15515 99.79%
34 93s Q9753 flush 4 0.01% 1 : 15515 99.79%
35 92s Q9752 flush 4 0.01% 1 : 15515 99.78%
36 86s Q8765 flush 4 0.01% 1 : 15515 99.77%
37 84s Q8754 flush 4 0.01% 1 : 15515 99.77%
38 83s Q8753 flush 4 0.01% 1 : 15515 99.76%
39 82s Q8752 flush 4 0.01% 1 : 15515 99.76%
40 64s Q7654 flush 4 0.01% 1 : 15515 99.75%
41 63s Q7653 flush 4 0.01% 1 : 15515 99.74%
42 62s Q7652 flush 4 0.01% 1 : 15515 99.74%
43 43s Q7543 flush 4 0.01% 1 : 15515 99.73%
44 42s Q7542 flush 4 0.01% 1 : 15515 99.72%
45 32s Q7532 flush 4 0.01% 1 : 15515 99.72%
 
46 QQ QQQ75 three of a kind 64 0.10% 1 : 969 99.71%
47 77 Q7775 three of a kind 64 0.10% 1 : 969 99.61%
48 55 Q7555 three of a kind 64 0.10% 1 : 969 99.50%
 
49 Q7 QQ775 two pairs 144 0.23% 1 : 430 99.40%
50 Q5 QQ755 two pairs 144 0.23% 1 : 430 99.17%
51 75 Q7755 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAQ75 one pair 384 0.62% 1 : 161 98.70%
53 KK KKQ75 one pair 384 0.62% 1 : 161 98.09%
54 AQ AQQ75 one pair 384 0.62% 1 : 161 97.47%
55 KQ KQQ75 one pair 384 0.62% 1 : 161 96.85%
56 QJ QQJ75 one pair 384 0.62% 1 : 161 96.23%
57 QT QQT75 one pair 384 0.62% 1 : 161 95.61%
58 Q9 QQ975 one pair 384 0.62% 1 : 161 94.99%
59 Q8 QQ875 one pair 384 0.62% 1 : 161 94.37%
60 Q6 QQ765 one pair 384 0.62% 1 : 161 93.75%
61 Q4 QQ754 one pair 384 0.62% 1 : 161 93.14%
62 Q3 QQ753 one pair 384 0.62% 1 : 161 92.52%
63 Q2 QQ752 one pair 384 0.62% 1 : 161 91.90%
64 JJ QJJ75 one pair 384 0.62% 1 : 161 91.28%
65 TT QTT75 one pair 384 0.62% 1 : 161 90.66%
66 99 Q9975 one pair 384 0.62% 1 : 161 90.04%
67 88 Q8875 one pair 384 0.62% 1 : 161 89.42%
68 A7 AQ775 one pair 384 0.62% 1 : 161 88.81%
69 K7 KQ775 one pair 384 0.62% 1 : 161 88.19%
70 J7 QJ775 one pair 384 0.62% 1 : 161 87.57%
71 T7 QT775 one pair 384 0.62% 1 : 161 86.95%
72 97 Q9775 one pair 384 0.62% 1 : 161 86.33%
73 87 Q8775 one pair 384 0.62% 1 : 161 85.71%
74 76 Q7765 one pair 384 0.62% 1 : 161 85.09%
75 74 Q7754 one pair 384 0.62% 1 : 161 84.47%
76 73 Q7753 one pair 384 0.62% 1 : 161 83.86%
77 72 Q7752 one pair 384 0.62% 1 : 161 83.24%
78 66 Q7665 one pair 384 0.62% 1 : 161 82.62%
79 A5 AQ755 one pair 384 0.62% 1 : 161 82.00%
80 K5 KQ755 one pair 384 0.62% 1 : 161 81.38%
81 J5 QJ755 one pair 384 0.62% 1 : 161 80.76%
82 T5 QT755 one pair 384 0.62% 1 : 161 80.14%
83 95 Q9755 one pair 384 0.62% 1 : 161 79.52%
84 85 Q8755 one pair 384 0.62% 1 : 161 78.91%
85 65 Q7655 one pair 384 0.62% 1 : 161 78.29%
86 54 Q7554 one pair 384 0.62% 1 : 161 77.67%
87 53 Q7553 one pair 384 0.62% 1 : 161 77.05%
88 52 Q7552 one pair 384 0.62% 1 : 161 76.43%
89 44 Q7544 one pair 384 0.62% 1 : 161 75.81%
90 33 Q7533 one pair 384 0.62% 1 : 161 75.19%
91 22 Q7522 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKQ75 high card 1,020 1.64% 1 : 59.8 73.96%
93 AJ AQJ75 high card 1,020 1.64% 1 : 59.8 72.31%
94 AT AQT75 high card 1,020 1.64% 1 : 59.8 70.67%
95 A9 AQ975 high card 1,020 1.64% 1 : 59.8 69.03%
96 A8 AQ875 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 AQ765 high card 1,020 1.64% 1 : 59.8 65.74%
98 A4 AQ754 high card 1,020 1.64% 1 : 59.8 64.10%
99 A3 AQ753 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AQ752 high card 1,020 1.64% 1 : 59.8 60.81%
101 KJ KQJ75 high card 1,020 1.64% 1 : 59.8 59.16%
102 KT KQT75 high card 1,020 1.64% 1 : 59.8 57.52%
103 K9 KQ975 high card 1,020 1.64% 1 : 59.8 55.88%
104 K8 KQ875 high card 1,020 1.64% 1 : 59.8 54.23%
105 K6 KQ765 high card 1,020 1.64% 1 : 59.8 52.59%
106 K4 KQ754 high card 1,020 1.64% 1 : 59.8 50.95%
107 K3 KQ753 high card 1,020 1.64% 1 : 59.8 49.30%
108 K2 KQ752 high card 1,020 1.64% 1 : 59.8 47.66%
109 JT QJT75 high card 1,020 1.64% 1 : 59.8 46.02%
110 J9 QJ975 high card 1,020 1.64% 1 : 59.8 44.37%
111 J8 QJ875 high card 1,020 1.64% 1 : 59.8 42.73%
112 J6 QJ765 high card 1,020 1.64% 1 : 59.8 41.09%
113 J4 QJ754 high card 1,020 1.64% 1 : 59.8 39.44%
114 J3 QJ753 high card 1,020 1.64% 1 : 59.8 37.80%
115 J2 QJ752 high card 1,020 1.64% 1 : 59.8 36.16%
116 T9 QT975 high card 1,020 1.64% 1 : 59.8 34.51%
117 T8 QT875 high card 1,020 1.64% 1 : 59.8 32.87%
118 T6 QT765 high card 1,020 1.64% 1 : 59.8 31.23%
119 T4 QT754 high card 1,020 1.64% 1 : 59.8 29.58%
120 T3 QT753 high card 1,020 1.64% 1 : 59.8 27.94%
121 T2 QT752 high card 1,020 1.64% 1 : 59.8 26.30%
122 98 Q9875 high card 1,020 1.64% 1 : 59.8 24.65%
123 96 Q9765 high card 1,020 1.64% 1 : 59.8 23.01%
124 94 Q9754 high card 1,020 1.64% 1 : 59.8 21.37%
125 93 Q9753 high card 1,020 1.64% 1 : 59.8 19.72%
126 92 Q9752 high card 1,020 1.64% 1 : 59.8 18.08%
127 86 Q8765 high card 1,020 1.64% 1 : 59.8 16.43%
128 84 Q8754 high card 1,020 1.64% 1 : 59.8 14.79%
129 83 Q8753 high card 1,020 1.64% 1 : 59.8 13.15%
130 82 Q8752 high card 1,020 1.64% 1 : 59.8 11.50%
131 64 Q7654 high card 1,020 1.64% 1 : 59.8 9.86%
132 63 Q7653 high card 1,020 1.64% 1 : 59.8 8.22%
133 62 Q7652 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 Q7543 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 Q7542 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 Q7532 high card 1,020 1.64% 1 : 59.8 1.64%