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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 1 4 0.01% 1 : 15515
four of a kind 0 0 impossible impossible
full house 0 0 impossible impossible
flush 44 176 0.28% 1 : 352
straight 1 1,020 1.64% 1 : 59.8
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 44 44,880 72.31% 2.61 : 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 98s JT987 straight flush 4 0.01% 1 : 15515 100.00%
 
2 AKs AKJT7 flush 4 0.01% 1 : 15515 99.99%
3 AQs AQJT7 flush 4 0.01% 1 : 15515 99.99%
4 A9s AJT97 flush 4 0.01% 1 : 15515 99.98%
5 A8s AJT87 flush 4 0.01% 1 : 15515 99.97%
6 A6s AJT76 flush 4 0.01% 1 : 15515 99.97%
7 A5s AJT75 flush 4 0.01% 1 : 15515 99.96%
8 A4s AJT74 flush 4 0.01% 1 : 15515 99.95%
9 A3s AJT73 flush 4 0.01% 1 : 15515 99.95%
10 A2s AJT72 flush 4 0.01% 1 : 15515 99.94%
11 KQs KQJT7 flush 4 0.01% 1 : 15515 99.94%
12 K9s KJT97 flush 4 0.01% 1 : 15515 99.93%
13 K8s KJT87 flush 4 0.01% 1 : 15515 99.92%
14 K6s KJT76 flush 4 0.01% 1 : 15515 99.92%
15 K5s KJT75 flush 4 0.01% 1 : 15515 99.91%
16 K4s KJT74 flush 4 0.01% 1 : 15515 99.90%
17 K3s KJT73 flush 4 0.01% 1 : 15515 99.90%
18 K2s KJT72 flush 4 0.01% 1 : 15515 99.89%
19 Q9s QJT97 flush 4 0.01% 1 : 15515 99.88%
20 Q8s QJT87 flush 4 0.01% 1 : 15515 99.88%
21 Q6s QJT76 flush 4 0.01% 1 : 15515 99.87%
22 Q5s QJT75 flush 4 0.01% 1 : 15515 99.86%
23 Q4s QJT74 flush 4 0.01% 1 : 15515 99.86%
24 Q3s QJT73 flush 4 0.01% 1 : 15515 99.85%
25 Q2s QJT72 flush 4 0.01% 1 : 15515 99.85%
26 96s JT976 flush 4 0.01% 1 : 15515 99.84%
27 95s JT975 flush 4 0.01% 1 : 15515 99.83%
28 94s JT974 flush 4 0.01% 1 : 15515 99.83%
29 93s JT973 flush 4 0.01% 1 : 15515 99.82%
30 92s JT972 flush 4 0.01% 1 : 15515 99.81%
31 86s JT876 flush 4 0.01% 1 : 15515 99.81%
32 85s JT875 flush 4 0.01% 1 : 15515 99.80%
33 84s JT874 flush 4 0.01% 1 : 15515 99.79%
34 83s JT873 flush 4 0.01% 1 : 15515 99.79%
35 82s JT872 flush 4 0.01% 1 : 15515 99.78%
36 65s JT765 flush 4 0.01% 1 : 15515 99.77%
37 64s JT764 flush 4 0.01% 1 : 15515 99.77%
38 63s JT763 flush 4 0.01% 1 : 15515 99.76%
39 62s JT762 flush 4 0.01% 1 : 15515 99.76%
40 54s JT754 flush 4 0.01% 1 : 15515 99.75%
41 53s JT753 flush 4 0.01% 1 : 15515 99.74%
42 52s JT752 flush 4 0.01% 1 : 15515 99.74%
43 43s JT743 flush 4 0.01% 1 : 15515 99.73%
44 42s JT742 flush 4 0.01% 1 : 15515 99.72%
45 32s JT732 flush 4 0.01% 1 : 15515 99.72%
 
46 98 JT987 straight 1,020 1.64% 1 : 59.8 99.71%
 
47 JJ JJJT7 three of a kind 64 0.10% 1 : 969 98.07%
48 TT JTTT7 three of a kind 64 0.10% 1 : 969 97.96%
49 77 JT777 three of a kind 64 0.10% 1 : 969 97.86%
 
50 JT JJTT7 two pairs 144 0.23% 1 : 430 97.76%
51 J7 JJT77 two pairs 144 0.23% 1 : 430 97.53%
52 T7 JTT77 two pairs 144 0.23% 1 : 430 97.29%
 
53 AA AAJT7 one pair 384 0.62% 1 : 161 97.06%
54 KK KKJT7 one pair 384 0.62% 1 : 161 96.44%
55 QQ QQJT7 one pair 384 0.62% 1 : 161 95.82%
56 AJ AJJT7 one pair 384 0.62% 1 : 161 95.20%
57 KJ KJJT7 one pair 384 0.62% 1 : 161 94.59%
58 QJ QJJT7 one pair 384 0.62% 1 : 161 93.97%
59 J9 JJT97 one pair 384 0.62% 1 : 161 93.35%
60 J8 JJT87 one pair 384 0.62% 1 : 161 92.73%
61 J6 JJT76 one pair 384 0.62% 1 : 161 92.11%
62 J5 JJT75 one pair 384 0.62% 1 : 161 91.49%
63 J4 JJT74 one pair 384 0.62% 1 : 161 90.87%
64 J3 JJT73 one pair 384 0.62% 1 : 161 90.26%
65 J2 JJT72 one pair 384 0.62% 1 : 161 89.64%
66 AT AJTT7 one pair 384 0.62% 1 : 161 89.02%
67 KT KJTT7 one pair 384 0.62% 1 : 161 88.40%
68 QT QJTT7 one pair 384 0.62% 1 : 161 87.78%
69 T9 JTT97 one pair 384 0.62% 1 : 161 87.16%
70 T8 JTT87 one pair 384 0.62% 1 : 161 86.54%
71 T6 JTT76 one pair 384 0.62% 1 : 161 85.92%
72 T5 JTT75 one pair 384 0.62% 1 : 161 85.31%
73 T4 JTT74 one pair 384 0.62% 1 : 161 84.69%
74 T3 JTT73 one pair 384 0.62% 1 : 161 84.07%
75 T2 JTT72 one pair 384 0.62% 1 : 161 83.45%
76 99 JT997 one pair 384 0.62% 1 : 161 82.83%
77 88 JT887 one pair 384 0.62% 1 : 161 82.21%
78 A7 AJT77 one pair 384 0.62% 1 : 161 81.59%
79 K7 KJT77 one pair 384 0.62% 1 : 161 80.97%
80 Q7 QJT77 one pair 384 0.62% 1 : 161 80.36%
81 97 JT977 one pair 384 0.62% 1 : 161 79.74%
82 87 JT877 one pair 384 0.62% 1 : 161 79.12%
83 76 JT776 one pair 384 0.62% 1 : 161 78.50%
84 75 JT775 one pair 384 0.62% 1 : 161 77.88%
85 74 JT774 one pair 384 0.62% 1 : 161 77.26%
86 73 JT773 one pair 384 0.62% 1 : 161 76.64%
87 72 JT772 one pair 384 0.62% 1 : 161 76.02%
88 66 JT766 one pair 384 0.62% 1 : 161 75.41%
89 55 JT755 one pair 384 0.62% 1 : 161 74.79%
90 44 JT744 one pair 384 0.62% 1 : 161 74.17%
91 33 JT733 one pair 384 0.62% 1 : 161 73.55%
92 22 JT722 one pair 384 0.62% 1 : 161 72.93%
 
93 AK AKJT7 high card 1,020 1.64% 1 : 59.8 72.31%
94 AQ AQJT7 high card 1,020 1.64% 1 : 59.8 70.67%
95 A9 AJT97 high card 1,020 1.64% 1 : 59.8 69.03%
96 A8 AJT87 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 AJT76 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 AJT75 high card 1,020 1.64% 1 : 59.8 64.10%
99 A4 AJT74 high card 1,020 1.64% 1 : 59.8 62.45%
100 A3 AJT73 high card 1,020 1.64% 1 : 59.8 60.81%
101 A2 AJT72 high card 1,020 1.64% 1 : 59.8 59.16%
102 KQ KQJT7 high card 1,020 1.64% 1 : 59.8 57.52%
103 K9 KJT97 high card 1,020 1.64% 1 : 59.8 55.88%
104 K8 KJT87 high card 1,020 1.64% 1 : 59.8 54.23%
105 K6 KJT76 high card 1,020 1.64% 1 : 59.8 52.59%
106 K5 KJT75 high card 1,020 1.64% 1 : 59.8 50.95%
107 K4 KJT74 high card 1,020 1.64% 1 : 59.8 49.30%
108 K3 KJT73 high card 1,020 1.64% 1 : 59.8 47.66%
109 K2 KJT72 high card 1,020 1.64% 1 : 59.8 46.02%
110 Q9 QJT97 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q8 QJT87 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q6 QJT76 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q5 QJT75 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q4 QJT74 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q3 QJT73 high card 1,020 1.64% 1 : 59.8 36.16%
116 Q2 QJT72 high card 1,020 1.64% 1 : 59.8 34.51%
117 96 JT976 high card 1,020 1.64% 1 : 59.8 32.87%
118 95 JT975 high card 1,020 1.64% 1 : 59.8 31.23%
119 94 JT974 high card 1,020 1.64% 1 : 59.8 29.58%
120 93 JT973 high card 1,020 1.64% 1 : 59.8 27.94%
121 92 JT972 high card 1,020 1.64% 1 : 59.8 26.30%
122 86 JT876 high card 1,020 1.64% 1 : 59.8 24.65%
123 85 JT875 high card 1,020 1.64% 1 : 59.8 23.01%
124 84 JT874 high card 1,020 1.64% 1 : 59.8 21.37%
125 83 JT873 high card 1,020 1.64% 1 : 59.8 19.72%
126 82 JT872 high card 1,020 1.64% 1 : 59.8 18.08%
127 65 JT765 high card 1,020 1.64% 1 : 59.8 16.43%
128 64 JT764 high card 1,020 1.64% 1 : 59.8 14.79%
129 63 JT763 high card 1,020 1.64% 1 : 59.8 13.15%
130 62 JT762 high card 1,020 1.64% 1 : 59.8 11.50%
131 54 JT754 high card 1,020 1.64% 1 : 59.8 9.86%
132 53 JT753 high card 1,020 1.64% 1 : 59.8 8.22%
133 52 JT752 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 JT743 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 JT742 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 JT732 high card 1,020 1.64% 1 : 59.8 1.64%