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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 AKQT3 flush 4 0.01% 1 : 15515 100.00%
2 AJs AQJT3 flush 4 0.01% 1 : 15515 99.99%
3 A9s AQT93 flush 4 0.01% 1 : 15515 99.99%
4 A8s AQT83 flush 4 0.01% 1 : 15515 99.98%
5 A7s AQT73 flush 4 0.01% 1 : 15515 99.97%
6 A6s AQT63 flush 4 0.01% 1 : 15515 99.97%
7 A5s AQT53 flush 4 0.01% 1 : 15515 99.96%
8 A4s AQT43 flush 4 0.01% 1 : 15515 99.95%
9 A2s AQT32 flush 4 0.01% 1 : 15515 99.95%
10 KJs KQJT3 flush 4 0.01% 1 : 15515 99.94%
11 K9s KQT93 flush 4 0.01% 1 : 15515 99.94%
12 K8s KQT83 flush 4 0.01% 1 : 15515 99.93%
13 K7s KQT73 flush 4 0.01% 1 : 15515 99.92%
14 K6s KQT63 flush 4 0.01% 1 : 15515 99.92%
15 K5s KQT53 flush 4 0.01% 1 : 15515 99.91%
16 K4s KQT43 flush 4 0.01% 1 : 15515 99.90%
17 K2s KQT32 flush 4 0.01% 1 : 15515 99.90%
18 J9s QJT93 flush 4 0.01% 1 : 15515 99.89%
19 J8s QJT83 flush 4 0.01% 1 : 15515 99.88%
20 J7s QJT73 flush 4 0.01% 1 : 15515 99.88%
21 J6s QJT63 flush 4 0.01% 1 : 15515 99.87%
22 J5s QJT53 flush 4 0.01% 1 : 15515 99.86%
23 J4s QJT43 flush 4 0.01% 1 : 15515 99.86%
24 J2s QJT32 flush 4 0.01% 1 : 15515 99.85%
25 98s QT983 flush 4 0.01% 1 : 15515 99.85%
26 97s QT973 flush 4 0.01% 1 : 15515 99.84%
27 96s QT963 flush 4 0.01% 1 : 15515 99.83%
28 95s QT953 flush 4 0.01% 1 : 15515 99.83%
29 94s QT943 flush 4 0.01% 1 : 15515 99.82%
30 92s QT932 flush 4 0.01% 1 : 15515 99.81%
31 87s QT873 flush 4 0.01% 1 : 15515 99.81%
32 86s QT863 flush 4 0.01% 1 : 15515 99.80%
33 85s QT853 flush 4 0.01% 1 : 15515 99.79%
34 84s QT843 flush 4 0.01% 1 : 15515 99.79%
35 82s QT832 flush 4 0.01% 1 : 15515 99.78%
36 76s QT763 flush 4 0.01% 1 : 15515 99.77%
37 75s QT753 flush 4 0.01% 1 : 15515 99.77%
38 74s QT743 flush 4 0.01% 1 : 15515 99.76%
39 72s QT732 flush 4 0.01% 1 : 15515 99.76%
40 65s QT653 flush 4 0.01% 1 : 15515 99.75%
41 64s QT643 flush 4 0.01% 1 : 15515 99.74%
42 62s QT632 flush 4 0.01% 1 : 15515 99.74%
43 54s QT543 flush 4 0.01% 1 : 15515 99.73%
44 52s QT532 flush 4 0.01% 1 : 15515 99.72%
45 42s QT432 flush 4 0.01% 1 : 15515 99.72%
 
46 QQ QQQT3 three of a kind 64 0.10% 1 : 969 99.71%
47 TT QTTT3 three of a kind 64 0.10% 1 : 969 99.61%
48 33 QT333 three of a kind 64 0.10% 1 : 969 99.50%
 
49 QT QQTT3 two pairs 144 0.23% 1 : 430 99.40%
50 Q3 QQT33 two pairs 144 0.23% 1 : 430 99.17%
51 T3 QTT33 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAQT3 one pair 384 0.62% 1 : 161 98.70%
53 KK KKQT3 one pair 384 0.62% 1 : 161 98.09%
54 AQ AQQT3 one pair 384 0.62% 1 : 161 97.47%
55 KQ KQQT3 one pair 384 0.62% 1 : 161 96.85%
56 QJ QQJT3 one pair 384 0.62% 1 : 161 96.23%
57 Q9 QQT93 one pair 384 0.62% 1 : 161 95.61%
58 Q8 QQT83 one pair 384 0.62% 1 : 161 94.99%
59 Q7 QQT73 one pair 384 0.62% 1 : 161 94.37%
60 Q6 QQT63 one pair 384 0.62% 1 : 161 93.75%
61 Q5 QQT53 one pair 384 0.62% 1 : 161 93.14%
62 Q4 QQT43 one pair 384 0.62% 1 : 161 92.52%
63 Q2 QQT32 one pair 384 0.62% 1 : 161 91.90%
64 JJ QJJT3 one pair 384 0.62% 1 : 161 91.28%
65 AT AQTT3 one pair 384 0.62% 1 : 161 90.66%
66 KT KQTT3 one pair 384 0.62% 1 : 161 90.04%
67 JT QJTT3 one pair 384 0.62% 1 : 161 89.42%
68 T9 QTT93 one pair 384 0.62% 1 : 161 88.81%
69 T8 QTT83 one pair 384 0.62% 1 : 161 88.19%
70 T7 QTT73 one pair 384 0.62% 1 : 161 87.57%
71 T6 QTT63 one pair 384 0.62% 1 : 161 86.95%
72 T5 QTT53 one pair 384 0.62% 1 : 161 86.33%
73 T4 QTT43 one pair 384 0.62% 1 : 161 85.71%
74 T2 QTT32 one pair 384 0.62% 1 : 161 85.09%
75 99 QT993 one pair 384 0.62% 1 : 161 84.47%
76 88 QT883 one pair 384 0.62% 1 : 161 83.86%
77 77 QT773 one pair 384 0.62% 1 : 161 83.24%
78 66 QT663 one pair 384 0.62% 1 : 161 82.62%
79 55 QT553 one pair 384 0.62% 1 : 161 82.00%
80 44 QT443 one pair 384 0.62% 1 : 161 81.38%
81 A3 AQT33 one pair 384 0.62% 1 : 161 80.76%
82 K3 KQT33 one pair 384 0.62% 1 : 161 80.14%
83 J3 QJT33 one pair 384 0.62% 1 : 161 79.52%
84 93 QT933 one pair 384 0.62% 1 : 161 78.91%
85 83 QT833 one pair 384 0.62% 1 : 161 78.29%
86 73 QT733 one pair 384 0.62% 1 : 161 77.67%
87 63 QT633 one pair 384 0.62% 1 : 161 77.05%
88 53 QT533 one pair 384 0.62% 1 : 161 76.43%
89 43 QT433 one pair 384 0.62% 1 : 161 75.81%
90 32 QT332 one pair 384 0.62% 1 : 161 75.19%
91 22 QT322 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKQT3 high card 1,020 1.64% 1 : 59.8 73.96%
93 AJ AQJT3 high card 1,020 1.64% 1 : 59.8 72.31%
94 A9 AQT93 high card 1,020 1.64% 1 : 59.8 70.67%
95 A8 AQT83 high card 1,020 1.64% 1 : 59.8 69.03%
96 A7 AQT73 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 AQT63 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 AQT53 high card 1,020 1.64% 1 : 59.8 64.10%
99 A4 AQT43 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AQT32 high card 1,020 1.64% 1 : 59.8 60.81%
101 KJ KQJT3 high card 1,020 1.64% 1 : 59.8 59.16%
102 K9 KQT93 high card 1,020 1.64% 1 : 59.8 57.52%
103 K8 KQT83 high card 1,020 1.64% 1 : 59.8 55.88%
104 K7 KQT73 high card 1,020 1.64% 1 : 59.8 54.23%
105 K6 KQT63 high card 1,020 1.64% 1 : 59.8 52.59%
106 K5 KQT53 high card 1,020 1.64% 1 : 59.8 50.95%
107 K4 KQT43 high card 1,020 1.64% 1 : 59.8 49.30%
108 K2 KQT32 high card 1,020 1.64% 1 : 59.8 47.66%
109 J9 QJT93 high card 1,020 1.64% 1 : 59.8 46.02%
110 J8 QJT83 high card 1,020 1.64% 1 : 59.8 44.37%
111 J7 QJT73 high card 1,020 1.64% 1 : 59.8 42.73%
112 J6 QJT63 high card 1,020 1.64% 1 : 59.8 41.09%
113 J5 QJT53 high card 1,020 1.64% 1 : 59.8 39.44%
114 J4 QJT43 high card 1,020 1.64% 1 : 59.8 37.80%
115 J2 QJT32 high card 1,020 1.64% 1 : 59.8 36.16%
116 98 QT983 high card 1,020 1.64% 1 : 59.8 34.51%
117 97 QT973 high card 1,020 1.64% 1 : 59.8 32.87%
118 96 QT963 high card 1,020 1.64% 1 : 59.8 31.23%
119 95 QT953 high card 1,020 1.64% 1 : 59.8 29.58%
120 94 QT943 high card 1,020 1.64% 1 : 59.8 27.94%
121 92 QT932 high card 1,020 1.64% 1 : 59.8 26.30%
122 87 QT873 high card 1,020 1.64% 1 : 59.8 24.65%
123 86 QT863 high card 1,020 1.64% 1 : 59.8 23.01%
124 85 QT853 high card 1,020 1.64% 1 : 59.8 21.37%
125 84 QT843 high card 1,020 1.64% 1 : 59.8 19.72%
126 82 QT832 high card 1,020 1.64% 1 : 59.8 18.08%
127 76 QT763 high card 1,020 1.64% 1 : 59.8 16.43%
128 75 QT753 high card 1,020 1.64% 1 : 59.8 14.79%
129 74 QT743 high card 1,020 1.64% 1 : 59.8 13.15%
130 72 QT732 high card 1,020 1.64% 1 : 59.8 11.50%
131 65 QT653 high card 1,020 1.64% 1 : 59.8 9.86%
132 64 QT643 high card 1,020 1.64% 1 : 59.8 8.22%
133 62 QT632 high card 1,020 1.64% 1 : 59.8 6.57%
134 54 QT543 high card 1,020 1.64% 1 : 59.8 4.93%
135 52 QT532 high card 1,020 1.64% 1 : 59.8 3.29%
136 42 QT432 high card 1,020 1.64% 1 : 59.8 1.64%