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 AKJ43 flush 4 0.01% 1 : 15515 100.00%
2 AQs AQJ43 flush 4 0.01% 1 : 15515 99.99%
3 ATs AJT43 flush 4 0.01% 1 : 15515 99.99%
4 A9s AJ943 flush 4 0.01% 1 : 15515 99.98%
5 A8s AJ843 flush 4 0.01% 1 : 15515 99.97%
6 A7s AJ743 flush 4 0.01% 1 : 15515 99.97%
7 A6s AJ643 flush 4 0.01% 1 : 15515 99.96%
8 A5s AJ543 flush 4 0.01% 1 : 15515 99.95%
9 A2s AJ432 flush 4 0.01% 1 : 15515 99.95%
10 KQs KQJ43 flush 4 0.01% 1 : 15515 99.94%
11 KTs KJT43 flush 4 0.01% 1 : 15515 99.94%
12 K9s KJ943 flush 4 0.01% 1 : 15515 99.93%
13 K8s KJ843 flush 4 0.01% 1 : 15515 99.92%
14 K7s KJ743 flush 4 0.01% 1 : 15515 99.92%
15 K6s KJ643 flush 4 0.01% 1 : 15515 99.91%
16 K5s KJ543 flush 4 0.01% 1 : 15515 99.90%
17 K2s KJ432 flush 4 0.01% 1 : 15515 99.90%
18 QTs QJT43 flush 4 0.01% 1 : 15515 99.89%
19 Q9s QJ943 flush 4 0.01% 1 : 15515 99.88%
20 Q8s QJ843 flush 4 0.01% 1 : 15515 99.88%
21 Q7s QJ743 flush 4 0.01% 1 : 15515 99.87%
22 Q6s QJ643 flush 4 0.01% 1 : 15515 99.86%
23 Q5s QJ543 flush 4 0.01% 1 : 15515 99.86%
24 Q2s QJ432 flush 4 0.01% 1 : 15515 99.85%
25 T9s JT943 flush 4 0.01% 1 : 15515 99.85%
26 T8s JT843 flush 4 0.01% 1 : 15515 99.84%
27 T7s JT743 flush 4 0.01% 1 : 15515 99.83%
28 T6s JT643 flush 4 0.01% 1 : 15515 99.83%
29 T5s JT543 flush 4 0.01% 1 : 15515 99.82%
30 T2s JT432 flush 4 0.01% 1 : 15515 99.81%
31 98s J9843 flush 4 0.01% 1 : 15515 99.81%
32 97s J9743 flush 4 0.01% 1 : 15515 99.80%
33 96s J9643 flush 4 0.01% 1 : 15515 99.79%
34 95s J9543 flush 4 0.01% 1 : 15515 99.79%
35 92s J9432 flush 4 0.01% 1 : 15515 99.78%
36 87s J8743 flush 4 0.01% 1 : 15515 99.77%
37 86s J8643 flush 4 0.01% 1 : 15515 99.77%
38 85s J8543 flush 4 0.01% 1 : 15515 99.76%
39 82s J8432 flush 4 0.01% 1 : 15515 99.76%
40 76s J7643 flush 4 0.01% 1 : 15515 99.75%
41 75s J7543 flush 4 0.01% 1 : 15515 99.74%
42 72s J7432 flush 4 0.01% 1 : 15515 99.74%
43 65s J6543 flush 4 0.01% 1 : 15515 99.73%
44 62s J6432 flush 4 0.01% 1 : 15515 99.72%
45 52s J5432 flush 4 0.01% 1 : 15515 99.72%
 
46 JJ JJJ43 three of a kind 64 0.10% 1 : 969 99.71%
47 44 J4443 three of a kind 64 0.10% 1 : 969 99.61%
48 33 J4333 three of a kind 64 0.10% 1 : 969 99.50%
 
49 J4 JJ443 two pairs 144 0.23% 1 : 430 99.40%
50 J3 JJ433 two pairs 144 0.23% 1 : 430 99.17%
51 43 J4433 two pairs 144 0.23% 1 : 430 98.94%
 
52 AA AAJ43 one pair 384 0.62% 1 : 161 98.70%
53 KK KKJ43 one pair 384 0.62% 1 : 161 98.09%
54 QQ QQJ43 one pair 384 0.62% 1 : 161 97.47%
55 AJ AJJ43 one pair 384 0.62% 1 : 161 96.85%
56 KJ KJJ43 one pair 384 0.62% 1 : 161 96.23%
57 QJ QJJ43 one pair 384 0.62% 1 : 161 95.61%
58 JT JJT43 one pair 384 0.62% 1 : 161 94.99%
59 J9 JJ943 one pair 384 0.62% 1 : 161 94.37%
60 J8 JJ843 one pair 384 0.62% 1 : 161 93.75%
61 J7 JJ743 one pair 384 0.62% 1 : 161 93.14%
62 J6 JJ643 one pair 384 0.62% 1 : 161 92.52%
63 J5 JJ543 one pair 384 0.62% 1 : 161 91.90%
64 J2 JJ432 one pair 384 0.62% 1 : 161 91.28%
65 TT JTT43 one pair 384 0.62% 1 : 161 90.66%
66 99 J9943 one pair 384 0.62% 1 : 161 90.04%
67 88 J8843 one pair 384 0.62% 1 : 161 89.42%
68 77 J7743 one pair 384 0.62% 1 : 161 88.81%
69 66 J6643 one pair 384 0.62% 1 : 161 88.19%
70 55 J5543 one pair 384 0.62% 1 : 161 87.57%
71 A4 AJ443 one pair 384 0.62% 1 : 161 86.95%
72 K4 KJ443 one pair 384 0.62% 1 : 161 86.33%
73 Q4 QJ443 one pair 384 0.62% 1 : 161 85.71%
74 T4 JT443 one pair 384 0.62% 1 : 161 85.09%
75 94 J9443 one pair 384 0.62% 1 : 161 84.47%
76 84 J8443 one pair 384 0.62% 1 : 161 83.86%
77 74 J7443 one pair 384 0.62% 1 : 161 83.24%
78 64 J6443 one pair 384 0.62% 1 : 161 82.62%
79 54 J5443 one pair 384 0.62% 1 : 161 82.00%
80 42 J4432 one pair 384 0.62% 1 : 161 81.38%
81 A3 AJ433 one pair 384 0.62% 1 : 161 80.76%
82 K3 KJ433 one pair 384 0.62% 1 : 161 80.14%
83 Q3 QJ433 one pair 384 0.62% 1 : 161 79.52%
84 T3 JT433 one pair 384 0.62% 1 : 161 78.91%
85 93 J9433 one pair 384 0.62% 1 : 161 78.29%
86 83 J8433 one pair 384 0.62% 1 : 161 77.67%
87 73 J7433 one pair 384 0.62% 1 : 161 77.05%
88 63 J6433 one pair 384 0.62% 1 : 161 76.43%
89 53 J5433 one pair 384 0.62% 1 : 161 75.81%
90 32 J4332 one pair 384 0.62% 1 : 161 75.19%
91 22 J4322 one pair 384 0.62% 1 : 161 74.57%
 
92 AK AKJ43 high card 1,020 1.64% 1 : 59.8 73.96%
93 AQ AQJ43 high card 1,020 1.64% 1 : 59.8 72.31%
94 AT AJT43 high card 1,020 1.64% 1 : 59.8 70.67%
95 A9 AJ943 high card 1,020 1.64% 1 : 59.8 69.03%
96 A8 AJ843 high card 1,020 1.64% 1 : 59.8 67.38%
97 A7 AJ743 high card 1,020 1.64% 1 : 59.8 65.74%
98 A6 AJ643 high card 1,020 1.64% 1 : 59.8 64.10%
99 A5 AJ543 high card 1,020 1.64% 1 : 59.8 62.45%
100 A2 AJ432 high card 1,020 1.64% 1 : 59.8 60.81%
101 KQ KQJ43 high card 1,020 1.64% 1 : 59.8 59.16%
102 KT KJT43 high card 1,020 1.64% 1 : 59.8 57.52%
103 K9 KJ943 high card 1,020 1.64% 1 : 59.8 55.88%
104 K8 KJ843 high card 1,020 1.64% 1 : 59.8 54.23%
105 K7 KJ743 high card 1,020 1.64% 1 : 59.8 52.59%
106 K6 KJ643 high card 1,020 1.64% 1 : 59.8 50.95%
107 K5 KJ543 high card 1,020 1.64% 1 : 59.8 49.30%
108 K2 KJ432 high card 1,020 1.64% 1 : 59.8 47.66%
109 QT QJT43 high card 1,020 1.64% 1 : 59.8 46.02%
110 Q9 QJ943 high card 1,020 1.64% 1 : 59.8 44.37%
111 Q8 QJ843 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q7 QJ743 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q6 QJ643 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q5 QJ543 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q2 QJ432 high card 1,020 1.64% 1 : 59.8 36.16%
116 T9 JT943 high card 1,020 1.64% 1 : 59.8 34.51%
117 T8 JT843 high card 1,020 1.64% 1 : 59.8 32.87%
118 T7 JT743 high card 1,020 1.64% 1 : 59.8 31.23%
119 T6 JT643 high card 1,020 1.64% 1 : 59.8 29.58%
120 T5 JT543 high card 1,020 1.64% 1 : 59.8 27.94%
121 T2 JT432 high card 1,020 1.64% 1 : 59.8 26.30%
122 98 J9843 high card 1,020 1.64% 1 : 59.8 24.65%
123 97 J9743 high card 1,020 1.64% 1 : 59.8 23.01%
124 96 J9643 high card 1,020 1.64% 1 : 59.8 21.37%
125 95 J9543 high card 1,020 1.64% 1 : 59.8 19.72%
126 92 J9432 high card 1,020 1.64% 1 : 59.8 18.08%
127 87 J8743 high card 1,020 1.64% 1 : 59.8 16.43%
128 86 J8643 high card 1,020 1.64% 1 : 59.8 14.79%
129 85 J8543 high card 1,020 1.64% 1 : 59.8 13.15%
130 82 J8432 high card 1,020 1.64% 1 : 59.8 11.50%
131 76 J7643 high card 1,020 1.64% 1 : 59.8 9.86%
132 75 J7543 high card 1,020 1.64% 1 : 59.8 8.22%
133 72 J7432 high card 1,020 1.64% 1 : 59.8 6.57%
134 65 J6543 high card 1,020 1.64% 1 : 59.8 4.93%
135 62 J6432 high card 1,020 1.64% 1 : 59.8 3.29%
136 52 J5432 high card 1,020 1.64% 1 : 59.8 1.64%