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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 2 8 0.01% 1 : 7757
four of a kind 0 0 impossible impossible
full house 0 0 impossible impossible
flush 43 172 0.28% 1 : 360
straight 2 2,040 3.29% 1 : 29.4
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 43 43,860 70.67% 2.41 : 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 96s 98765 straight flush 4 0.01% 1 : 15515 100.00%
2 64s 87654 straight flush 4 0.01% 1 : 15515 99.99%
 
3 AKs AK875 flush 4 0.01% 1 : 15515 99.99%
4 AQs AQ875 flush 4 0.01% 1 : 15515 99.98%
5 AJs AJ875 flush 4 0.01% 1 : 15515 99.97%
6 ATs AT875 flush 4 0.01% 1 : 15515 99.97%
7 A9s A9875 flush 4 0.01% 1 : 15515 99.96%
8 A6s A8765 flush 4 0.01% 1 : 15515 99.95%
9 A4s A8754 flush 4 0.01% 1 : 15515 99.95%
10 A3s A8753 flush 4 0.01% 1 : 15515 99.94%
11 A2s A8752 flush 4 0.01% 1 : 15515 99.94%
12 KQs KQ875 flush 4 0.01% 1 : 15515 99.93%
13 KJs KJ875 flush 4 0.01% 1 : 15515 99.92%
14 KTs KT875 flush 4 0.01% 1 : 15515 99.92%
15 K9s K9875 flush 4 0.01% 1 : 15515 99.91%
16 K6s K8765 flush 4 0.01% 1 : 15515 99.90%
17 K4s K8754 flush 4 0.01% 1 : 15515 99.90%
18 K3s K8753 flush 4 0.01% 1 : 15515 99.89%
19 K2s K8752 flush 4 0.01% 1 : 15515 99.88%
20 QJs QJ875 flush 4 0.01% 1 : 15515 99.88%
21 QTs QT875 flush 4 0.01% 1 : 15515 99.87%
22 Q9s Q9875 flush 4 0.01% 1 : 15515 99.86%
23 Q6s Q8765 flush 4 0.01% 1 : 15515 99.86%
24 Q4s Q8754 flush 4 0.01% 1 : 15515 99.85%
25 Q3s Q8753 flush 4 0.01% 1 : 15515 99.85%
26 Q2s Q8752 flush 4 0.01% 1 : 15515 99.84%
27 JTs JT875 flush 4 0.01% 1 : 15515 99.83%
28 J9s J9875 flush 4 0.01% 1 : 15515 99.83%
29 J6s J8765 flush 4 0.01% 1 : 15515 99.82%
30 J4s J8754 flush 4 0.01% 1 : 15515 99.81%
31 J3s J8753 flush 4 0.01% 1 : 15515 99.81%
32 J2s J8752 flush 4 0.01% 1 : 15515 99.80%
33 T9s T9875 flush 4 0.01% 1 : 15515 99.79%
34 T6s T8765 flush 4 0.01% 1 : 15515 99.79%
35 T4s T8754 flush 4 0.01% 1 : 15515 99.78%
36 T3s T8753 flush 4 0.01% 1 : 15515 99.77%
37 T2s T8752 flush 4 0.01% 1 : 15515 99.77%
38 94s 98754 flush 4 0.01% 1 : 15515 99.76%
39 93s 98753 flush 4 0.01% 1 : 15515 99.76%
40 92s 98752 flush 4 0.01% 1 : 15515 99.75%
41 63s 87653 flush 4 0.01% 1 : 15515 99.74%
42 62s 87652 flush 4 0.01% 1 : 15515 99.74%
43 43s 87543 flush 4 0.01% 1 : 15515 99.73%
44 42s 87542 flush 4 0.01% 1 : 15515 99.72%
45 32s 87532 flush 4 0.01% 1 : 15515 99.72%
 
46 96 98765 straight 1,020 1.64% 1 : 59.8 99.71%
47 64 87654 straight 1,020 1.64% 1 : 59.8 98.07%
 
48 88 88875 three of a kind 64 0.10% 1 : 969 96.42%
49 77 87775 three of a kind 64 0.10% 1 : 969 96.32%
50 55 87555 three of a kind 64 0.10% 1 : 969 96.22%
 
51 87 88775 two pairs 144 0.23% 1 : 430 96.11%
52 85 88755 two pairs 144 0.23% 1 : 430 95.88%
53 75 87755 two pairs 144 0.23% 1 : 430 95.65%
 
54 AA AA875 one pair 384 0.62% 1 : 161 95.42%
55 KK KK875 one pair 384 0.62% 1 : 161 94.80%
56 QQ QQ875 one pair 384 0.62% 1 : 161 94.18%
57 JJ JJ875 one pair 384 0.62% 1 : 161 93.56%
58 TT TT875 one pair 384 0.62% 1 : 161 92.94%
59 99 99875 one pair 384 0.62% 1 : 161 92.32%
60 A8 A8875 one pair 384 0.62% 1 : 161 91.71%
61 K8 K8875 one pair 384 0.62% 1 : 161 91.09%
62 Q8 Q8875 one pair 384 0.62% 1 : 161 90.47%
63 J8 J8875 one pair 384 0.62% 1 : 161 89.85%
64 T8 T8875 one pair 384 0.62% 1 : 161 89.23%
65 98 98875 one pair 384 0.62% 1 : 161 88.61%
66 86 88765 one pair 384 0.62% 1 : 161 87.99%
67 84 88754 one pair 384 0.62% 1 : 161 87.37%
68 83 88753 one pair 384 0.62% 1 : 161 86.76%
69 82 88752 one pair 384 0.62% 1 : 161 86.14%
70 A7 A8775 one pair 384 0.62% 1 : 161 85.52%
71 K7 K8775 one pair 384 0.62% 1 : 161 84.90%
72 Q7 Q8775 one pair 384 0.62% 1 : 161 84.28%
73 J7 J8775 one pair 384 0.62% 1 : 161 83.66%
74 T7 T8775 one pair 384 0.62% 1 : 161 83.04%
75 97 98775 one pair 384 0.62% 1 : 161 82.42%
76 76 87765 one pair 384 0.62% 1 : 161 81.81%
77 74 87754 one pair 384 0.62% 1 : 161 81.19%
78 73 87753 one pair 384 0.62% 1 : 161 80.57%
79 72 87752 one pair 384 0.62% 1 : 161 79.95%
80 66 87665 one pair 384 0.62% 1 : 161 79.33%
81 A5 A8755 one pair 384 0.62% 1 : 161 78.71%
82 K5 K8755 one pair 384 0.62% 1 : 161 78.09%
83 Q5 Q8755 one pair 384 0.62% 1 : 161 77.47%
84 J5 J8755 one pair 384 0.62% 1 : 161 76.86%
85 T5 T8755 one pair 384 0.62% 1 : 161 76.24%
86 95 98755 one pair 384 0.62% 1 : 161 75.62%
87 65 87655 one pair 384 0.62% 1 : 161 75.00%
88 54 87554 one pair 384 0.62% 1 : 161 74.38%
89 53 87553 one pair 384 0.62% 1 : 161 73.76%
90 52 87552 one pair 384 0.62% 1 : 161 73.14%
91 44 87544 one pair 384 0.62% 1 : 161 72.53%
92 33 87533 one pair 384 0.62% 1 : 161 71.91%
93 22 87522 one pair 384 0.62% 1 : 161 71.29%
 
94 AK AK875 high card 1,020 1.64% 1 : 59.8 70.67%
95 AQ AQ875 high card 1,020 1.64% 1 : 59.8 69.03%
96 AJ AJ875 high card 1,020 1.64% 1 : 59.8 67.38%
97 AT AT875 high card 1,020 1.64% 1 : 59.8 65.74%
98 A9 A9875 high card 1,020 1.64% 1 : 59.8 64.10%
99 A6 A8765 high card 1,020 1.64% 1 : 59.8 62.45%
100 A4 A8754 high card 1,020 1.64% 1 : 59.8 60.81%
101 A3 A8753 high card 1,020 1.64% 1 : 59.8 59.16%
102 A2 A8752 high card 1,020 1.64% 1 : 59.8 57.52%
103 KQ KQ875 high card 1,020 1.64% 1 : 59.8 55.88%
104 KJ KJ875 high card 1,020 1.64% 1 : 59.8 54.23%
105 KT KT875 high card 1,020 1.64% 1 : 59.8 52.59%
106 K9 K9875 high card 1,020 1.64% 1 : 59.8 50.95%
107 K6 K8765 high card 1,020 1.64% 1 : 59.8 49.30%
108 K4 K8754 high card 1,020 1.64% 1 : 59.8 47.66%
109 K3 K8753 high card 1,020 1.64% 1 : 59.8 46.02%
110 K2 K8752 high card 1,020 1.64% 1 : 59.8 44.37%
111 QJ QJ875 high card 1,020 1.64% 1 : 59.8 42.73%
112 QT QT875 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q9 Q9875 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q6 Q8765 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q4 Q8754 high card 1,020 1.64% 1 : 59.8 36.16%
116 Q3 Q8753 high card 1,020 1.64% 1 : 59.8 34.51%
117 Q2 Q8752 high card 1,020 1.64% 1 : 59.8 32.87%
118 JT JT875 high card 1,020 1.64% 1 : 59.8 31.23%
119 J9 J9875 high card 1,020 1.64% 1 : 59.8 29.58%
120 J6 J8765 high card 1,020 1.64% 1 : 59.8 27.94%
121 J4 J8754 high card 1,020 1.64% 1 : 59.8 26.30%
122 J3 J8753 high card 1,020 1.64% 1 : 59.8 24.65%
123 J2 J8752 high card 1,020 1.64% 1 : 59.8 23.01%
124 T9 T9875 high card 1,020 1.64% 1 : 59.8 21.37%
125 T6 T8765 high card 1,020 1.64% 1 : 59.8 19.72%
126 T4 T8754 high card 1,020 1.64% 1 : 59.8 18.08%
127 T3 T8753 high card 1,020 1.64% 1 : 59.8 16.43%
128 T2 T8752 high card 1,020 1.64% 1 : 59.8 14.79%
129 94 98754 high card 1,020 1.64% 1 : 59.8 13.15%
130 93 98753 high card 1,020 1.64% 1 : 59.8 11.50%
131 92 98752 high card 1,020 1.64% 1 : 59.8 9.86%
132 63 87653 high card 1,020 1.64% 1 : 59.8 8.22%
133 62 87652 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 87543 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 87542 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 87532 high card 1,020 1.64% 1 : 59.8 1.64%