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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 AKJ93 flush 4 0.01% 1 : 15515 100.00%
2 AQs AQJ93 flush 4 0.01% 1 : 15515 99.99%
3 ATs AJT93 flush 4 0.01% 1 : 15515 99.99%
4 A8s AJ983 flush 4 0.01% 1 : 15515 99.98%
5 A7s AJ973 flush 4 0.01% 1 : 15515 99.97%
6 A6s AJ963 flush 4 0.01% 1 : 15515 99.97%
7 A5s AJ953 flush 4 0.01% 1 : 15515 99.96%
8 A4s AJ943 flush 4 0.01% 1 : 15515 99.95%
9 A2s AJ932 flush 4 0.01% 1 : 15515 99.95%
10 KQs KQJ93 flush 4 0.01% 1 : 15515 99.94%
11 KTs KJT93 flush 4 0.01% 1 : 15515 99.94%
12 K8s KJ983 flush 4 0.01% 1 : 15515 99.93%
13 K7s KJ973 flush 4 0.01% 1 : 15515 99.92%
14 K6s KJ963 flush 4 0.01% 1 : 15515 99.92%
15 K5s KJ953 flush 4 0.01% 1 : 15515 99.91%
16 K4s KJ943 flush 4 0.01% 1 : 15515 99.90%
17 K2s KJ932 flush 4 0.01% 1 : 15515 99.90%
18 QTs QJT93 flush 4 0.01% 1 : 15515 99.89%
19 Q8s QJ983 flush 4 0.01% 1 : 15515 99.88%
20 Q7s QJ973 flush 4 0.01% 1 : 15515 99.88%
21 Q6s QJ963 flush 4 0.01% 1 : 15515 99.87%
22 Q5s QJ953 flush 4 0.01% 1 : 15515 99.86%
23 Q4s QJ943 flush 4 0.01% 1 : 15515 99.86%
24 Q2s QJ932 flush 4 0.01% 1 : 15515 99.85%
25 T8s JT983 flush 4 0.01% 1 : 15515 99.85%
26 T7s JT973 flush 4 0.01% 1 : 15515 99.84%
27 T6s JT963 flush 4 0.01% 1 : 15515 99.83%
28 T5s JT953 flush 4 0.01% 1 : 15515 99.83%
29 T4s JT943 flush 4 0.01% 1 : 15515 99.82%
30 T2s JT932 flush 4 0.01% 1 : 15515 99.81%
31 87s J9873 flush 4 0.01% 1 : 15515 99.81%
32 86s J9863 flush 4 0.01% 1 : 15515 99.80%
33 85s J9853 flush 4 0.01% 1 : 15515 99.79%
34 84s J9843 flush 4 0.01% 1 : 15515 99.79%
35 82s J9832 flush 4 0.01% 1 : 15515 99.78%
36 76s J9763 flush 4 0.01% 1 : 15515 99.77%
37 75s J9753 flush 4 0.01% 1 : 15515 99.77%
38 74s J9743 flush 4 0.01% 1 : 15515 99.76%
39 72s J9732 flush 4 0.01% 1 : 15515 99.76%
40 65s J9653 flush 4 0.01% 1 : 15515 99.75%
41 64s J9643 flush 4 0.01% 1 : 15515 99.74%
42 62s J9632 flush 4 0.01% 1 : 15515 99.74%
43 54s J9543 flush 4 0.01% 1 : 15515 99.73%
44 52s J9532 flush 4 0.01% 1 : 15515 99.72%
45 42s J9432 flush 4 0.01% 1 : 15515 99.72%
 
46 JJ JJJ93 three of a kind 64 0.10% 1 : 969 99.71%
47 99 J9993 three of a kind 64 0.10% 1 : 969 99.61%
48 33 J9333 three of a kind 64 0.10% 1 : 969 99.50%
 
49 J9 JJ993 two pairs 144 0.23% 1 : 430 99.40%
50 J3 JJ933 two pairs 144 0.23% 1 : 430 99.17%
51 93 J9933 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAJ93 one pair 384 0.62% 1 : 161 98.70%
53 KK KKJ93 one pair 384 0.62% 1 : 161 98.09%
54 QQ QQJ93 one pair 384 0.62% 1 : 161 97.47%
55 AJ AJJ93 one pair 384 0.62% 1 : 161 96.85%
56 KJ KJJ93 one pair 384 0.62% 1 : 161 96.23%
57 QJ QJJ93 one pair 384 0.62% 1 : 161 95.61%
58 JT JJT93 one pair 384 0.62% 1 : 161 94.99%
59 J8 JJ983 one pair 384 0.62% 1 : 161 94.37%
60 J7 JJ973 one pair 384 0.62% 1 : 161 93.75%
61 J6 JJ963 one pair 384 0.62% 1 : 161 93.14%
62 J5 JJ953 one pair 384 0.62% 1 : 161 92.52%
63 J4 JJ943 one pair 384 0.62% 1 : 161 91.90%
64 J2 JJ932 one pair 384 0.62% 1 : 161 91.28%
65 TT JTT93 one pair 384 0.62% 1 : 161 90.66%
66 A9 AJ993 one pair 384 0.62% 1 : 161 90.04%
67 K9 KJ993 one pair 384 0.62% 1 : 161 89.42%
68 Q9 QJ993 one pair 384 0.62% 1 : 161 88.81%
69 T9 JT993 one pair 384 0.62% 1 : 161 88.19%
70 98 J9983 one pair 384 0.62% 1 : 161 87.57%
71 97 J9973 one pair 384 0.62% 1 : 161 86.95%
72 96 J9963 one pair 384 0.62% 1 : 161 86.33%
73 95 J9953 one pair 384 0.62% 1 : 161 85.71%
74 94 J9943 one pair 384 0.62% 1 : 161 85.09%
75 92 J9932 one pair 384 0.62% 1 : 161 84.47%
76 88 J9883 one pair 384 0.62% 1 : 161 83.86%
77 77 J9773 one pair 384 0.62% 1 : 161 83.24%
78 66 J9663 one pair 384 0.62% 1 : 161 82.62%
79 55 J9553 one pair 384 0.62% 1 : 161 82.00%
80 44 J9443 one pair 384 0.62% 1 : 161 81.38%
81 A3 AJ933 one pair 384 0.62% 1 : 161 80.76%
82 K3 KJ933 one pair 384 0.62% 1 : 161 80.14%
83 Q3 QJ933 one pair 384 0.62% 1 : 161 79.52%
84 T3 JT933 one pair 384 0.62% 1 : 161 78.91%
85 83 J9833 one pair 384 0.62% 1 : 161 78.29%
86 73 J9733 one pair 384 0.62% 1 : 161 77.67%
87 63 J9633 one pair 384 0.62% 1 : 161 77.05%
88 53 J9533 one pair 384 0.62% 1 : 161 76.43%
89 43 J9433 one pair 384 0.62% 1 : 161 75.81%
90 32 J9332 one pair 384 0.62% 1 : 161 75.19%
91 22 J9322 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKJ93 high card 1,020 1.64% 1 : 59.8 73.96%
93 AQ AQJ93 high card 1,020 1.64% 1 : 59.8 72.31%
94 AT AJT93 high card 1,020 1.64% 1 : 59.8 70.67%
95 A8 AJ983 high card 1,020 1.64% 1 : 59.8 69.03%
96 A7 AJ973 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 AJ963 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 AJ953 high card 1,020 1.64% 1 : 59.8 64.10%
99 A4 AJ943 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AJ932 high card 1,020 1.64% 1 : 59.8 60.81%
101 KQ KQJ93 high card 1,020 1.64% 1 : 59.8 59.16%
102 KT KJT93 high card 1,020 1.64% 1 : 59.8 57.52%
103 K8 KJ983 high card 1,020 1.64% 1 : 59.8 55.88%
104 K7 KJ973 high card 1,020 1.64% 1 : 59.8 54.23%
105 K6 KJ963 high card 1,020 1.64% 1 : 59.8 52.59%
106 K5 KJ953 high card 1,020 1.64% 1 : 59.8 50.95%
107 K4 KJ943 high card 1,020 1.64% 1 : 59.8 49.30%
108 K2 KJ932 high card 1,020 1.64% 1 : 59.8 47.66%
109 QT QJT93 high card 1,020 1.64% 1 : 59.8 46.02%
110 Q8 QJ983 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q7 QJ973 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q6 QJ963 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q5 QJ953 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q4 QJ943 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q2 QJ932 high card 1,020 1.64% 1 : 59.8 36.16%
116 T8 JT983 high card 1,020 1.64% 1 : 59.8 34.51%
117 T7 JT973 high card 1,020 1.64% 1 : 59.8 32.87%
118 T6 JT963 high card 1,020 1.64% 1 : 59.8 31.23%
119 T5 JT953 high card 1,020 1.64% 1 : 59.8 29.58%
120 T4 JT943 high card 1,020 1.64% 1 : 59.8 27.94%
121 T2 JT932 high card 1,020 1.64% 1 : 59.8 26.30%
122 87 J9873 high card 1,020 1.64% 1 : 59.8 24.65%
123 86 J9863 high card 1,020 1.64% 1 : 59.8 23.01%
124 85 J9853 high card 1,020 1.64% 1 : 59.8 21.37%
125 84 J9843 high card 1,020 1.64% 1 : 59.8 19.72%
126 82 J9832 high card 1,020 1.64% 1 : 59.8 18.08%
127 76 J9763 high card 1,020 1.64% 1 : 59.8 16.43%
128 75 J9753 high card 1,020 1.64% 1 : 59.8 14.79%
129 74 J9743 high card 1,020 1.64% 1 : 59.8 13.15%
130 72 J9732 high card 1,020 1.64% 1 : 59.8 11.50%
131 65 J9653 high card 1,020 1.64% 1 : 59.8 9.86%
132 64 J9643 high card 1,020 1.64% 1 : 59.8 8.22%
133 62 J9632 high card 1,020 1.64% 1 : 59.8 6.57%
134 54 J9543 high card 1,020 1.64% 1 : 59.8 4.93%
135 52 J9532 high card 1,020 1.64% 1 : 59.8 3.29%
136 42 J9432 high card 1,020 1.64% 1 : 59.8 1.64%