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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 AKJ75 flush 4 0.01% 1 : 15515 100.00%
2 AQs AQJ75 flush 4 0.01% 1 : 15515 99.99%
3 ATs AJT75 flush 4 0.01% 1 : 15515 99.99%
4 A9s AJ975 flush 4 0.01% 1 : 15515 99.98%
5 A8s AJ875 flush 4 0.01% 1 : 15515 99.97%
6 A6s AJ765 flush 4 0.01% 1 : 15515 99.97%
7 A4s AJ754 flush 4 0.01% 1 : 15515 99.96%
8 A3s AJ753 flush 4 0.01% 1 : 15515 99.95%
9 A2s AJ752 flush 4 0.01% 1 : 15515 99.95%
10 KQs KQJ75 flush 4 0.01% 1 : 15515 99.94%
11 KTs KJT75 flush 4 0.01% 1 : 15515 99.94%
12 K9s KJ975 flush 4 0.01% 1 : 15515 99.93%
13 K8s KJ875 flush 4 0.01% 1 : 15515 99.92%
14 K6s KJ765 flush 4 0.01% 1 : 15515 99.92%
15 K4s KJ754 flush 4 0.01% 1 : 15515 99.91%
16 K3s KJ753 flush 4 0.01% 1 : 15515 99.90%
17 K2s KJ752 flush 4 0.01% 1 : 15515 99.90%
18 QTs QJT75 flush 4 0.01% 1 : 15515 99.89%
19 Q9s QJ975 flush 4 0.01% 1 : 15515 99.88%
20 Q8s QJ875 flush 4 0.01% 1 : 15515 99.88%
21 Q6s QJ765 flush 4 0.01% 1 : 15515 99.87%
22 Q4s QJ754 flush 4 0.01% 1 : 15515 99.86%
23 Q3s QJ753 flush 4 0.01% 1 : 15515 99.86%
24 Q2s QJ752 flush 4 0.01% 1 : 15515 99.85%
25 T9s JT975 flush 4 0.01% 1 : 15515 99.85%
26 T8s JT875 flush 4 0.01% 1 : 15515 99.84%
27 T6s JT765 flush 4 0.01% 1 : 15515 99.83%
28 T4s JT754 flush 4 0.01% 1 : 15515 99.83%
29 T3s JT753 flush 4 0.01% 1 : 15515 99.82%
30 T2s JT752 flush 4 0.01% 1 : 15515 99.81%
31 98s J9875 flush 4 0.01% 1 : 15515 99.81%
32 96s J9765 flush 4 0.01% 1 : 15515 99.80%
33 94s J9754 flush 4 0.01% 1 : 15515 99.79%
34 93s J9753 flush 4 0.01% 1 : 15515 99.79%
35 92s J9752 flush 4 0.01% 1 : 15515 99.78%
36 86s J8765 flush 4 0.01% 1 : 15515 99.77%
37 84s J8754 flush 4 0.01% 1 : 15515 99.77%
38 83s J8753 flush 4 0.01% 1 : 15515 99.76%
39 82s J8752 flush 4 0.01% 1 : 15515 99.76%
40 64s J7654 flush 4 0.01% 1 : 15515 99.75%
41 63s J7653 flush 4 0.01% 1 : 15515 99.74%
42 62s J7652 flush 4 0.01% 1 : 15515 99.74%
43 43s J7543 flush 4 0.01% 1 : 15515 99.73%
44 42s J7542 flush 4 0.01% 1 : 15515 99.72%
45 32s J7532 flush 4 0.01% 1 : 15515 99.72%
 
46 JJ JJJ75 three of a kind 64 0.10% 1 : 969 99.71%
47 77 J7775 three of a kind 64 0.10% 1 : 969 99.61%
48 55 J7555 three of a kind 64 0.10% 1 : 969 99.50%
 
49 J7 JJ775 two pairs 144 0.23% 1 : 430 99.40%
50 J5 JJ755 two pairs 144 0.23% 1 : 430 99.17%
51 75 J7755 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAJ75 one pair 384 0.62% 1 : 161 98.70%
53 KK KKJ75 one pair 384 0.62% 1 : 161 98.09%
54 QQ QQJ75 one pair 384 0.62% 1 : 161 97.47%
55 AJ AJJ75 one pair 384 0.62% 1 : 161 96.85%
56 KJ KJJ75 one pair 384 0.62% 1 : 161 96.23%
57 QJ QJJ75 one pair 384 0.62% 1 : 161 95.61%
58 JT JJT75 one pair 384 0.62% 1 : 161 94.99%
59 J9 JJ975 one pair 384 0.62% 1 : 161 94.37%
60 J8 JJ875 one pair 384 0.62% 1 : 161 93.75%
61 J6 JJ765 one pair 384 0.62% 1 : 161 93.14%
62 J4 JJ754 one pair 384 0.62% 1 : 161 92.52%
63 J3 JJ753 one pair 384 0.62% 1 : 161 91.90%
64 J2 JJ752 one pair 384 0.62% 1 : 161 91.28%
65 TT JTT75 one pair 384 0.62% 1 : 161 90.66%
66 99 J9975 one pair 384 0.62% 1 : 161 90.04%
67 88 J8875 one pair 384 0.62% 1 : 161 89.42%
68 A7 AJ775 one pair 384 0.62% 1 : 161 88.81%
69 K7 KJ775 one pair 384 0.62% 1 : 161 88.19%
70 Q7 QJ775 one pair 384 0.62% 1 : 161 87.57%
71 T7 JT775 one pair 384 0.62% 1 : 161 86.95%
72 97 J9775 one pair 384 0.62% 1 : 161 86.33%
73 87 J8775 one pair 384 0.62% 1 : 161 85.71%
74 76 J7765 one pair 384 0.62% 1 : 161 85.09%
75 74 J7754 one pair 384 0.62% 1 : 161 84.47%
76 73 J7753 one pair 384 0.62% 1 : 161 83.86%
77 72 J7752 one pair 384 0.62% 1 : 161 83.24%
78 66 J7665 one pair 384 0.62% 1 : 161 82.62%
79 A5 AJ755 one pair 384 0.62% 1 : 161 82.00%
80 K5 KJ755 one pair 384 0.62% 1 : 161 81.38%
81 Q5 QJ755 one pair 384 0.62% 1 : 161 80.76%
82 T5 JT755 one pair 384 0.62% 1 : 161 80.14%
83 95 J9755 one pair 384 0.62% 1 : 161 79.52%
84 85 J8755 one pair 384 0.62% 1 : 161 78.91%
85 65 J7655 one pair 384 0.62% 1 : 161 78.29%
86 54 J7554 one pair 384 0.62% 1 : 161 77.67%
87 53 J7553 one pair 384 0.62% 1 : 161 77.05%
88 52 J7552 one pair 384 0.62% 1 : 161 76.43%
89 44 J7544 one pair 384 0.62% 1 : 161 75.81%
90 33 J7533 one pair 384 0.62% 1 : 161 75.19%
91 22 J7522 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKJ75 high card 1,020 1.64% 1 : 59.8 73.96%
93 AQ AQJ75 high card 1,020 1.64% 1 : 59.8 72.31%
94 AT AJT75 high card 1,020 1.64% 1 : 59.8 70.67%
95 A9 AJ975 high card 1,020 1.64% 1 : 59.8 69.03%
96 A8 AJ875 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 AJ765 high card 1,020 1.64% 1 : 59.8 65.74%
98 A4 AJ754 high card 1,020 1.64% 1 : 59.8 64.10%
99 A3 AJ753 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AJ752 high card 1,020 1.64% 1 : 59.8 60.81%
101 KQ KQJ75 high card 1,020 1.64% 1 : 59.8 59.16%
102 KT KJT75 high card 1,020 1.64% 1 : 59.8 57.52%
103 K9 KJ975 high card 1,020 1.64% 1 : 59.8 55.88%
104 K8 KJ875 high card 1,020 1.64% 1 : 59.8 54.23%
105 K6 KJ765 high card 1,020 1.64% 1 : 59.8 52.59%
106 K4 KJ754 high card 1,020 1.64% 1 : 59.8 50.95%
107 K3 KJ753 high card 1,020 1.64% 1 : 59.8 49.30%
108 K2 KJ752 high card 1,020 1.64% 1 : 59.8 47.66%
109 QT QJT75 high card 1,020 1.64% 1 : 59.8 46.02%
110 Q9 QJ975 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q8 QJ875 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q6 QJ765 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q4 QJ754 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q3 QJ753 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q2 QJ752 high card 1,020 1.64% 1 : 59.8 36.16%
116 T9 JT975 high card 1,020 1.64% 1 : 59.8 34.51%
117 T8 JT875 high card 1,020 1.64% 1 : 59.8 32.87%
118 T6 JT765 high card 1,020 1.64% 1 : 59.8 31.23%
119 T4 JT754 high card 1,020 1.64% 1 : 59.8 29.58%
120 T3 JT753 high card 1,020 1.64% 1 : 59.8 27.94%
121 T2 JT752 high card 1,020 1.64% 1 : 59.8 26.30%
122 98 J9875 high card 1,020 1.64% 1 : 59.8 24.65%
123 96 J9765 high card 1,020 1.64% 1 : 59.8 23.01%
124 94 J9754 high card 1,020 1.64% 1 : 59.8 21.37%
125 93 J9753 high card 1,020 1.64% 1 : 59.8 19.72%
126 92 J9752 high card 1,020 1.64% 1 : 59.8 18.08%
127 86 J8765 high card 1,020 1.64% 1 : 59.8 16.43%
128 84 J8754 high card 1,020 1.64% 1 : 59.8 14.79%
129 83 J8753 high card 1,020 1.64% 1 : 59.8 13.15%
130 82 J8752 high card 1,020 1.64% 1 : 59.8 11.50%
131 64 J7654 high card 1,020 1.64% 1 : 59.8 9.86%
132 63 J7653 high card 1,020 1.64% 1 : 59.8 8.22%
133 62 J7652 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 J7543 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 J7542 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 J7532 high card 1,020 1.64% 1 : 59.8 1.64%