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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 AKQT7 flush 4 0.01% 1 : 15515 100.00%
2 KJs AKJT7 flush 4 0.01% 1 : 15515 99.99%
3 K9s AKT97 flush 4 0.01% 1 : 15515 99.99%
4 K8s AKT87 flush 4 0.01% 1 : 15515 99.98%
5 K6s AKT76 flush 4 0.01% 1 : 15515 99.97%
6 K5s AKT75 flush 4 0.01% 1 : 15515 99.97%
7 K4s AKT74 flush 4 0.01% 1 : 15515 99.96%
8 K3s AKT73 flush 4 0.01% 1 : 15515 99.95%
9 K2s AKT72 flush 4 0.01% 1 : 15515 99.95%
10 QJs AQJT7 flush 4 0.01% 1 : 15515 99.94%
11 Q9s AQT97 flush 4 0.01% 1 : 15515 99.94%
12 Q8s AQT87 flush 4 0.01% 1 : 15515 99.93%
13 Q6s AQT76 flush 4 0.01% 1 : 15515 99.92%
14 Q5s AQT75 flush 4 0.01% 1 : 15515 99.92%
15 Q4s AQT74 flush 4 0.01% 1 : 15515 99.91%
16 Q3s AQT73 flush 4 0.01% 1 : 15515 99.90%
17 Q2s AQT72 flush 4 0.01% 1 : 15515 99.90%
18 J9s AJT97 flush 4 0.01% 1 : 15515 99.89%
19 J8s AJT87 flush 4 0.01% 1 : 15515 99.88%
20 J6s AJT76 flush 4 0.01% 1 : 15515 99.88%
21 J5s AJT75 flush 4 0.01% 1 : 15515 99.87%
22 J4s AJT74 flush 4 0.01% 1 : 15515 99.86%
23 J3s AJT73 flush 4 0.01% 1 : 15515 99.86%
24 J2s AJT72 flush 4 0.01% 1 : 15515 99.85%
25 98s AT987 flush 4 0.01% 1 : 15515 99.85%
26 96s AT976 flush 4 0.01% 1 : 15515 99.84%
27 95s AT975 flush 4 0.01% 1 : 15515 99.83%
28 94s AT974 flush 4 0.01% 1 : 15515 99.83%
29 93s AT973 flush 4 0.01% 1 : 15515 99.82%
30 92s AT972 flush 4 0.01% 1 : 15515 99.81%
31 86s AT876 flush 4 0.01% 1 : 15515 99.81%
32 85s AT875 flush 4 0.01% 1 : 15515 99.80%
33 84s AT874 flush 4 0.01% 1 : 15515 99.79%
34 83s AT873 flush 4 0.01% 1 : 15515 99.79%
35 82s AT872 flush 4 0.01% 1 : 15515 99.78%
36 65s AT765 flush 4 0.01% 1 : 15515 99.77%
37 64s AT764 flush 4 0.01% 1 : 15515 99.77%
38 63s AT763 flush 4 0.01% 1 : 15515 99.76%
39 62s AT762 flush 4 0.01% 1 : 15515 99.76%
40 54s AT754 flush 4 0.01% 1 : 15515 99.75%
41 53s AT753 flush 4 0.01% 1 : 15515 99.74%
42 52s AT752 flush 4 0.01% 1 : 15515 99.74%
43 43s AT743 flush 4 0.01% 1 : 15515 99.73%
44 42s AT742 flush 4 0.01% 1 : 15515 99.72%
45 32s AT732 flush 4 0.01% 1 : 15515 99.72%
 
46 AA AAAT7 three of a kind 64 0.10% 1 : 969 99.71%
47 TT ATTT7 three of a kind 64 0.10% 1 : 969 99.61%
48 77 AT777 three of a kind 64 0.10% 1 : 969 99.50%
 
49 AT AATT7 two pairs 144 0.23% 1 : 430 99.40%
50 A7 AAT77 two pairs 144 0.23% 1 : 430 99.17%
51 T7 ATT77 two pairs 144 0.23% 1 : 430 98.94%
 
52 AK AAKT7 one pair 384 0.62% 1 : 161 98.70%
53 AQ AAQT7 one pair 384 0.62% 1 : 161 98.09%
54 AJ AAJT7 one pair 384 0.62% 1 : 161 97.47%
55 A9 AAT97 one pair 384 0.62% 1 : 161 96.85%
56 A8 AAT87 one pair 384 0.62% 1 : 161 96.23%
57 A6 AAT76 one pair 384 0.62% 1 : 161 95.61%
58 A5 AAT75 one pair 384 0.62% 1 : 161 94.99%
59 A4 AAT74 one pair 384 0.62% 1 : 161 94.37%
60 A3 AAT73 one pair 384 0.62% 1 : 161 93.75%
61 A2 AAT72 one pair 384 0.62% 1 : 161 93.14%
62 KK AKKT7 one pair 384 0.62% 1 : 161 92.52%
63 QQ AQQT7 one pair 384 0.62% 1 : 161 91.90%
64 JJ AJJT7 one pair 384 0.62% 1 : 161 91.28%
65 KT AKTT7 one pair 384 0.62% 1 : 161 90.66%
66 QT AQTT7 one pair 384 0.62% 1 : 161 90.04%
67 JT AJTT7 one pair 384 0.62% 1 : 161 89.42%
68 T9 ATT97 one pair 384 0.62% 1 : 161 88.81%
69 T8 ATT87 one pair 384 0.62% 1 : 161 88.19%
70 T6 ATT76 one pair 384 0.62% 1 : 161 87.57%
71 T5 ATT75 one pair 384 0.62% 1 : 161 86.95%
72 T4 ATT74 one pair 384 0.62% 1 : 161 86.33%
73 T3 ATT73 one pair 384 0.62% 1 : 161 85.71%
74 T2 ATT72 one pair 384 0.62% 1 : 161 85.09%
75 99 AT997 one pair 384 0.62% 1 : 161 84.47%
76 88 AT887 one pair 384 0.62% 1 : 161 83.86%
77 K7 AKT77 one pair 384 0.62% 1 : 161 83.24%
78 Q7 AQT77 one pair 384 0.62% 1 : 161 82.62%
79 J7 AJT77 one pair 384 0.62% 1 : 161 82.00%
80 97 AT977 one pair 384 0.62% 1 : 161 81.38%
81 87 AT877 one pair 384 0.62% 1 : 161 80.76%
82 76 AT776 one pair 384 0.62% 1 : 161 80.14%
83 75 AT775 one pair 384 0.62% 1 : 161 79.52%
84 74 AT774 one pair 384 0.62% 1 : 161 78.91%
85 73 AT773 one pair 384 0.62% 1 : 161 78.29%
86 72 AT772 one pair 384 0.62% 1 : 161 77.67%
87 66 AT766 one pair 384 0.62% 1 : 161 77.05%
88 55 AT755 one pair 384 0.62% 1 : 161 76.43%
89 44 AT744 one pair 384 0.62% 1 : 161 75.81%
90 33 AT733 one pair 384 0.62% 1 : 161 75.19%
91 22 AT722 one pair 384 0.62% 1 : 161 74.57%
 
92 KQ AKQT7 high card 1,020 1.64% 1 : 59.8 73.96%
93 KJ AKJT7 high card 1,020 1.64% 1 : 59.8 72.31%
94 K9 AKT97 high card 1,020 1.64% 1 : 59.8 70.67%
95 K8 AKT87 high card 1,020 1.64% 1 : 59.8 69.03%
96 K6 AKT76 high card 1,020 1.64% 1 : 59.8 67.38%
97 K5 AKT75 high card 1,020 1.64% 1 : 59.8 65.74%
98 K4 AKT74 high card 1,020 1.64% 1 : 59.8 64.10%
99 K3 AKT73 high card 1,020 1.64% 1 : 59.8 62.45%
100 K2 AKT72 high card 1,020 1.64% 1 : 59.8 60.81%
101 QJ AQJT7 high card 1,020 1.64% 1 : 59.8 59.16%
102 Q9 AQT97 high card 1,020 1.64% 1 : 59.8 57.52%
103 Q8 AQT87 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q6 AQT76 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q5 AQT75 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q4 AQT74 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q3 AQT73 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q2 AQT72 high card 1,020 1.64% 1 : 59.8 47.66%
109 J9 AJT97 high card 1,020 1.64% 1 : 59.8 46.02%
110 J8 AJT87 high card 1,020 1.64% 1 : 59.8 44.37%
111 J6 AJT76 high card 1,020 1.64% 1 : 59.8 42.73%
112 J5 AJT75 high card 1,020 1.64% 1 : 59.8 41.09%
113 J4 AJT74 high card 1,020 1.64% 1 : 59.8 39.44%
114 J3 AJT73 high card 1,020 1.64% 1 : 59.8 37.80%
115 J2 AJT72 high card 1,020 1.64% 1 : 59.8 36.16%
116 98 AT987 high card 1,020 1.64% 1 : 59.8 34.51%
117 96 AT976 high card 1,020 1.64% 1 : 59.8 32.87%
118 95 AT975 high card 1,020 1.64% 1 : 59.8 31.23%
119 94 AT974 high card 1,020 1.64% 1 : 59.8 29.58%
120 93 AT973 high card 1,020 1.64% 1 : 59.8 27.94%
121 92 AT972 high card 1,020 1.64% 1 : 59.8 26.30%
122 86 AT876 high card 1,020 1.64% 1 : 59.8 24.65%
123 85 AT875 high card 1,020 1.64% 1 : 59.8 23.01%
124 84 AT874 high card 1,020 1.64% 1 : 59.8 21.37%
125 83 AT873 high card 1,020 1.64% 1 : 59.8 19.72%
126 82 AT872 high card 1,020 1.64% 1 : 59.8 18.08%
127 65 AT765 high card 1,020 1.64% 1 : 59.8 16.43%
128 64 AT764 high card 1,020 1.64% 1 : 59.8 14.79%
129 63 AT763 high card 1,020 1.64% 1 : 59.8 13.15%
130 62 AT762 high card 1,020 1.64% 1 : 59.8 11.50%
131 54 AT754 high card 1,020 1.64% 1 : 59.8 9.86%
132 53 AT753 high card 1,020 1.64% 1 : 59.8 8.22%
133 52 AT752 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 AT743 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 AT742 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 AT732 high card 1,020 1.64% 1 : 59.8 1.64%