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 AQs AKQ93 flush 4 0.01% 1 : 15515 100.00%
2 AJs AKJ93 flush 4 0.01% 1 : 15515 99.99%
3 ATs AKT93 flush 4 0.01% 1 : 15515 99.99%
4 A8s AK983 flush 4 0.01% 1 : 15515 99.98%
5 A7s AK973 flush 4 0.01% 1 : 15515 99.97%
6 A6s AK963 flush 4 0.01% 1 : 15515 99.97%
7 A5s AK953 flush 4 0.01% 1 : 15515 99.96%
8 A4s AK943 flush 4 0.01% 1 : 15515 99.95%
9 A2s AK932 flush 4 0.01% 1 : 15515 99.95%
10 QJs KQJ93 flush 4 0.01% 1 : 15515 99.94%
11 QTs KQT93 flush 4 0.01% 1 : 15515 99.94%
12 Q8s KQ983 flush 4 0.01% 1 : 15515 99.93%
13 Q7s KQ973 flush 4 0.01% 1 : 15515 99.92%
14 Q6s KQ963 flush 4 0.01% 1 : 15515 99.92%
15 Q5s KQ953 flush 4 0.01% 1 : 15515 99.91%
16 Q4s KQ943 flush 4 0.01% 1 : 15515 99.90%
17 Q2s KQ932 flush 4 0.01% 1 : 15515 99.90%
18 JTs KJT93 flush 4 0.01% 1 : 15515 99.89%
19 J8s KJ983 flush 4 0.01% 1 : 15515 99.88%
20 J7s KJ973 flush 4 0.01% 1 : 15515 99.88%
21 J6s KJ963 flush 4 0.01% 1 : 15515 99.87%
22 J5s KJ953 flush 4 0.01% 1 : 15515 99.86%
23 J4s KJ943 flush 4 0.01% 1 : 15515 99.86%
24 J2s KJ932 flush 4 0.01% 1 : 15515 99.85%
25 T8s KT983 flush 4 0.01% 1 : 15515 99.85%
26 T7s KT973 flush 4 0.01% 1 : 15515 99.84%
27 T6s KT963 flush 4 0.01% 1 : 15515 99.83%
28 T5s KT953 flush 4 0.01% 1 : 15515 99.83%
29 T4s KT943 flush 4 0.01% 1 : 15515 99.82%
30 T2s KT932 flush 4 0.01% 1 : 15515 99.81%
31 87s K9873 flush 4 0.01% 1 : 15515 99.81%
32 86s K9863 flush 4 0.01% 1 : 15515 99.80%
33 85s K9853 flush 4 0.01% 1 : 15515 99.79%
34 84s K9843 flush 4 0.01% 1 : 15515 99.79%
35 82s K9832 flush 4 0.01% 1 : 15515 99.78%
36 76s K9763 flush 4 0.01% 1 : 15515 99.77%
37 75s K9753 flush 4 0.01% 1 : 15515 99.77%
38 74s K9743 flush 4 0.01% 1 : 15515 99.76%
39 72s K9732 flush 4 0.01% 1 : 15515 99.76%
40 65s K9653 flush 4 0.01% 1 : 15515 99.75%
41 64s K9643 flush 4 0.01% 1 : 15515 99.74%
42 62s K9632 flush 4 0.01% 1 : 15515 99.74%
43 54s K9543 flush 4 0.01% 1 : 15515 99.73%
44 52s K9532 flush 4 0.01% 1 : 15515 99.72%
45 42s K9432 flush 4 0.01% 1 : 15515 99.72%
 
46 KK KKK93 three of a kind 64 0.10% 1 : 969 99.71%
47 99 K9993 three of a kind 64 0.10% 1 : 969 99.61%
48 33 K9333 three of a kind 64 0.10% 1 : 969 99.50%
 
49 K9 KK993 two pairs 144 0.23% 1 : 430 99.40%
50 K3 KK933 two pairs 144 0.23% 1 : 430 99.17%
51 93 K9933 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAK93 one pair 384 0.62% 1 : 161 98.70%
53 AK AKK93 one pair 384 0.62% 1 : 161 98.09%
54 KQ KKQ93 one pair 384 0.62% 1 : 161 97.47%
55 KJ KKJ93 one pair 384 0.62% 1 : 161 96.85%
56 KT KKT93 one pair 384 0.62% 1 : 161 96.23%
57 K8 KK983 one pair 384 0.62% 1 : 161 95.61%
58 K7 KK973 one pair 384 0.62% 1 : 161 94.99%
59 K6 KK963 one pair 384 0.62% 1 : 161 94.37%
60 K5 KK953 one pair 384 0.62% 1 : 161 93.75%
61 K4 KK943 one pair 384 0.62% 1 : 161 93.14%
62 K2 KK932 one pair 384 0.62% 1 : 161 92.52%
63 QQ KQQ93 one pair 384 0.62% 1 : 161 91.90%
64 JJ KJJ93 one pair 384 0.62% 1 : 161 91.28%
65 TT KTT93 one pair 384 0.62% 1 : 161 90.66%
66 A9 AK993 one pair 384 0.62% 1 : 161 90.04%
67 Q9 KQ993 one pair 384 0.62% 1 : 161 89.42%
68 J9 KJ993 one pair 384 0.62% 1 : 161 88.81%
69 T9 KT993 one pair 384 0.62% 1 : 161 88.19%
70 98 K9983 one pair 384 0.62% 1 : 161 87.57%
71 97 K9973 one pair 384 0.62% 1 : 161 86.95%
72 96 K9963 one pair 384 0.62% 1 : 161 86.33%
73 95 K9953 one pair 384 0.62% 1 : 161 85.71%
74 94 K9943 one pair 384 0.62% 1 : 161 85.09%
75 92 K9932 one pair 384 0.62% 1 : 161 84.47%
76 88 K9883 one pair 384 0.62% 1 : 161 83.86%
77 77 K9773 one pair 384 0.62% 1 : 161 83.24%
78 66 K9663 one pair 384 0.62% 1 : 161 82.62%
79 55 K9553 one pair 384 0.62% 1 : 161 82.00%
80 44 K9443 one pair 384 0.62% 1 : 161 81.38%
81 A3 AK933 one pair 384 0.62% 1 : 161 80.76%
82 Q3 KQ933 one pair 384 0.62% 1 : 161 80.14%
83 J3 KJ933 one pair 384 0.62% 1 : 161 79.52%
84 T3 KT933 one pair 384 0.62% 1 : 161 78.91%
85 83 K9833 one pair 384 0.62% 1 : 161 78.29%
86 73 K9733 one pair 384 0.62% 1 : 161 77.67%
87 63 K9633 one pair 384 0.62% 1 : 161 77.05%
88 53 K9533 one pair 384 0.62% 1 : 161 76.43%
89 43 K9433 one pair 384 0.62% 1 : 161 75.81%
90 32 K9332 one pair 384 0.62% 1 : 161 75.19%
91 22 K9322 one pair 384 0.62% 1 : 161 74.57%
 
92 AQ AKQ93 high card 1,020 1.64% 1 : 59.8 73.96%
93 AJ AKJ93 high card 1,020 1.64% 1 : 59.8 72.31%
94 AT AKT93 high card 1,020 1.64% 1 : 59.8 70.67%
95 A8 AK983 high card 1,020 1.64% 1 : 59.8 69.03%
96 A7 AK973 high card 1,020 1.64% 1 : 59.8 67.38%
97 A6 AK963 high card 1,020 1.64% 1 : 59.8 65.74%
98 A5 AK953 high card 1,020 1.64% 1 : 59.8 64.10%
99 A4 AK943 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AK932 high card 1,020 1.64% 1 : 59.8 60.81%
101 QJ KQJ93 high card 1,020 1.64% 1 : 59.8 59.16%
102 QT KQT93 high card 1,020 1.64% 1 : 59.8 57.52%
103 Q8 KQ983 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q7 KQ973 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q6 KQ963 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q5 KQ953 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q4 KQ943 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q2 KQ932 high card 1,020 1.64% 1 : 59.8 47.66%
109 JT KJT93 high card 1,020 1.64% 1 : 59.8 46.02%
110 J8 KJ983 high card 1,020 1.64% 1 : 59.8 44.37%
111 J7 KJ973 high card 1,020 1.64% 1 : 59.8 42.73%
112 J6 KJ963 high card 1,020 1.64% 1 : 59.8 41.09%
113 J5 KJ953 high card 1,020 1.64% 1 : 59.8 39.44%
114 J4 KJ943 high card 1,020 1.64% 1 : 59.8 37.80%
115 J2 KJ932 high card 1,020 1.64% 1 : 59.8 36.16%
116 T8 KT983 high card 1,020 1.64% 1 : 59.8 34.51%
117 T7 KT973 high card 1,020 1.64% 1 : 59.8 32.87%
118 T6 KT963 high card 1,020 1.64% 1 : 59.8 31.23%
119 T5 KT953 high card 1,020 1.64% 1 : 59.8 29.58%
120 T4 KT943 high card 1,020 1.64% 1 : 59.8 27.94%
121 T2 KT932 high card 1,020 1.64% 1 : 59.8 26.30%
122 87 K9873 high card 1,020 1.64% 1 : 59.8 24.65%
123 86 K9863 high card 1,020 1.64% 1 : 59.8 23.01%
124 85 K9853 high card 1,020 1.64% 1 : 59.8 21.37%
125 84 K9843 high card 1,020 1.64% 1 : 59.8 19.72%
126 82 K9832 high card 1,020 1.64% 1 : 59.8 18.08%
127 76 K9763 high card 1,020 1.64% 1 : 59.8 16.43%
128 75 K9753 high card 1,020 1.64% 1 : 59.8 14.79%
129 74 K9743 high card 1,020 1.64% 1 : 59.8 13.15%
130 72 K9732 high card 1,020 1.64% 1 : 59.8 11.50%
131 65 K9653 high card 1,020 1.64% 1 : 59.8 9.86%
132 64 K9643 high card 1,020 1.64% 1 : 59.8 8.22%
133 62 K9632 high card 1,020 1.64% 1 : 59.8 6.57%
134 54 K9543 high card 1,020 1.64% 1 : 59.8 4.93%
135 52 K9532 high card 1,020 1.64% 1 : 59.8 3.29%
136 42 K9432 high card 1,020 1.64% 1 : 59.8 1.64%