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 KQs AKQT9 flush 4 0.01% 1 : 15515 100.00%
2 KJs AKJT9 flush 4 0.01% 1 : 15515 99.99%
3 K8s AKT98 flush 4 0.01% 1 : 15515 99.99%
4 K7s AKT97 flush 4 0.01% 1 : 15515 99.98%
5 K6s AKT96 flush 4 0.01% 1 : 15515 99.97%
6 K5s AKT95 flush 4 0.01% 1 : 15515 99.97%
7 K4s AKT94 flush 4 0.01% 1 : 15515 99.96%
8 K3s AKT93 flush 4 0.01% 1 : 15515 99.95%
9 K2s AKT92 flush 4 0.01% 1 : 15515 99.95%
10 QJs AQJT9 flush 4 0.01% 1 : 15515 99.94%
11 Q8s AQT98 flush 4 0.01% 1 : 15515 99.94%
12 Q7s AQT97 flush 4 0.01% 1 : 15515 99.93%
13 Q6s AQT96 flush 4 0.01% 1 : 15515 99.92%
14 Q5s AQT95 flush 4 0.01% 1 : 15515 99.92%
15 Q4s AQT94 flush 4 0.01% 1 : 15515 99.91%
16 Q3s AQT93 flush 4 0.01% 1 : 15515 99.90%
17 Q2s AQT92 flush 4 0.01% 1 : 15515 99.90%
18 J8s AJT98 flush 4 0.01% 1 : 15515 99.89%
19 J7s AJT97 flush 4 0.01% 1 : 15515 99.88%
20 J6s AJT96 flush 4 0.01% 1 : 15515 99.88%
21 J5s AJT95 flush 4 0.01% 1 : 15515 99.87%
22 J4s AJT94 flush 4 0.01% 1 : 15515 99.86%
23 J3s AJT93 flush 4 0.01% 1 : 15515 99.86%
24 J2s AJT92 flush 4 0.01% 1 : 15515 99.85%
25 87s AT987 flush 4 0.01% 1 : 15515 99.85%
26 86s AT986 flush 4 0.01% 1 : 15515 99.84%
27 85s AT985 flush 4 0.01% 1 : 15515 99.83%
28 84s AT984 flush 4 0.01% 1 : 15515 99.83%
29 83s AT983 flush 4 0.01% 1 : 15515 99.82%
30 82s AT982 flush 4 0.01% 1 : 15515 99.81%
31 76s AT976 flush 4 0.01% 1 : 15515 99.81%
32 75s AT975 flush 4 0.01% 1 : 15515 99.80%
33 74s AT974 flush 4 0.01% 1 : 15515 99.79%
34 73s AT973 flush 4 0.01% 1 : 15515 99.79%
35 72s AT972 flush 4 0.01% 1 : 15515 99.78%
36 65s AT965 flush 4 0.01% 1 : 15515 99.77%
37 64s AT964 flush 4 0.01% 1 : 15515 99.77%
38 63s AT963 flush 4 0.01% 1 : 15515 99.76%
39 62s AT962 flush 4 0.01% 1 : 15515 99.76%
40 54s AT954 flush 4 0.01% 1 : 15515 99.75%
41 53s AT953 flush 4 0.01% 1 : 15515 99.74%
42 52s AT952 flush 4 0.01% 1 : 15515 99.74%
43 43s AT943 flush 4 0.01% 1 : 15515 99.73%
44 42s AT942 flush 4 0.01% 1 : 15515 99.72%
45 32s AT932 flush 4 0.01% 1 : 15515 99.72%
 
46 AA AAAT9 three of a kind 64 0.10% 1 : 969 99.71%
47 TT ATTT9 three of a kind 64 0.10% 1 : 969 99.61%
48 99 AT999 three of a kind 64 0.10% 1 : 969 99.50%
 
49 AT AATT9 two pairs 144 0.23% 1 : 430 99.40%
50 A9 AAT99 two pairs 144 0.23% 1 : 430 99.17%
51 T9 ATT99 two pairs 144 0.23% 1 : 430 98.94%
 
52 AK AAKT9 one pair 384 0.62% 1 : 161 98.70%
53 AQ AAQT9 one pair 384 0.62% 1 : 161 98.09%
54 AJ AAJT9 one pair 384 0.62% 1 : 161 97.47%
55 A8 AAT98 one pair 384 0.62% 1 : 161 96.85%
56 A7 AAT97 one pair 384 0.62% 1 : 161 96.23%
57 A6 AAT96 one pair 384 0.62% 1 : 161 95.61%
58 A5 AAT95 one pair 384 0.62% 1 : 161 94.99%
59 A4 AAT94 one pair 384 0.62% 1 : 161 94.37%
60 A3 AAT93 one pair 384 0.62% 1 : 161 93.75%
61 A2 AAT92 one pair 384 0.62% 1 : 161 93.14%
62 KK AKKT9 one pair 384 0.62% 1 : 161 92.52%
63 QQ AQQT9 one pair 384 0.62% 1 : 161 91.90%
64 JJ AJJT9 one pair 384 0.62% 1 : 161 91.28%
65 KT AKTT9 one pair 384 0.62% 1 : 161 90.66%
66 QT AQTT9 one pair 384 0.62% 1 : 161 90.04%
67 JT AJTT9 one pair 384 0.62% 1 : 161 89.42%
68 T8 ATT98 one pair 384 0.62% 1 : 161 88.81%
69 T7 ATT97 one pair 384 0.62% 1 : 161 88.19%
70 T6 ATT96 one pair 384 0.62% 1 : 161 87.57%
71 T5 ATT95 one pair 384 0.62% 1 : 161 86.95%
72 T4 ATT94 one pair 384 0.62% 1 : 161 86.33%
73 T3 ATT93 one pair 384 0.62% 1 : 161 85.71%
74 T2 ATT92 one pair 384 0.62% 1 : 161 85.09%
75 K9 AKT99 one pair 384 0.62% 1 : 161 84.47%
76 Q9 AQT99 one pair 384 0.62% 1 : 161 83.86%
77 J9 AJT99 one pair 384 0.62% 1 : 161 83.24%
78 98 AT998 one pair 384 0.62% 1 : 161 82.62%
79 97 AT997 one pair 384 0.62% 1 : 161 82.00%
80 96 AT996 one pair 384 0.62% 1 : 161 81.38%
81 95 AT995 one pair 384 0.62% 1 : 161 80.76%
82 94 AT994 one pair 384 0.62% 1 : 161 80.14%
83 93 AT993 one pair 384 0.62% 1 : 161 79.52%
84 92 AT992 one pair 384 0.62% 1 : 161 78.91%
85 88 AT988 one pair 384 0.62% 1 : 161 78.29%
86 77 AT977 one pair 384 0.62% 1 : 161 77.67%
87 66 AT966 one pair 384 0.62% 1 : 161 77.05%
88 55 AT955 one pair 384 0.62% 1 : 161 76.43%
89 44 AT944 one pair 384 0.62% 1 : 161 75.81%
90 33 AT933 one pair 384 0.62% 1 : 161 75.19%
91 22 AT922 one pair 384 0.62% 1 : 161 74.57%
 
92 KQ AKQT9 high card 1,020 1.64% 1 : 59.8 73.96%
93 KJ AKJT9 high card 1,020 1.64% 1 : 59.8 72.31%
94 K8 AKT98 high card 1,020 1.64% 1 : 59.8 70.67%
95 K7 AKT97 high card 1,020 1.64% 1 : 59.8 69.03%
96 K6 AKT96 high card 1,020 1.64% 1 : 59.8 67.38%
97 K5 AKT95 high card 1,020 1.64% 1 : 59.8 65.74%
98 K4 AKT94 high card 1,020 1.64% 1 : 59.8 64.10%
99 K3 AKT93 high card 1,020 1.64% 1 : 59.8 62.45%
100 K2 AKT92 high card 1,020 1.64% 1 : 59.8 60.81%
101 QJ AQJT9 high card 1,020 1.64% 1 : 59.8 59.16%
102 Q8 AQT98 high card 1,020 1.64% 1 : 59.8 57.52%
103 Q7 AQT97 high card 1,020 1.64% 1 : 59.8 55.88%
104 Q6 AQT96 high card 1,020 1.64% 1 : 59.8 54.23%
105 Q5 AQT95 high card 1,020 1.64% 1 : 59.8 52.59%
106 Q4 AQT94 high card 1,020 1.64% 1 : 59.8 50.95%
107 Q3 AQT93 high card 1,020 1.64% 1 : 59.8 49.30%
108 Q2 AQT92 high card 1,020 1.64% 1 : 59.8 47.66%
109 J8 AJT98 high card 1,020 1.64% 1 : 59.8 46.02%
110 J7 AJT97 high card 1,020 1.64% 1 : 59.8 44.37%
111 J6 AJT96 high card 1,020 1.64% 1 : 59.8 42.73%
112 J5 AJT95 high card 1,020 1.64% 1 : 59.8 41.09%
113 J4 AJT94 high card 1,020 1.64% 1 : 59.8 39.44%
114 J3 AJT93 high card 1,020 1.64% 1 : 59.8 37.80%
115 J2 AJT92 high card 1,020 1.64% 1 : 59.8 36.16%
116 87 AT987 high card 1,020 1.64% 1 : 59.8 34.51%
117 86 AT986 high card 1,020 1.64% 1 : 59.8 32.87%
118 85 AT985 high card 1,020 1.64% 1 : 59.8 31.23%
119 84 AT984 high card 1,020 1.64% 1 : 59.8 29.58%
120 83 AT983 high card 1,020 1.64% 1 : 59.8 27.94%
121 82 AT982 high card 1,020 1.64% 1 : 59.8 26.30%
122 76 AT976 high card 1,020 1.64% 1 : 59.8 24.65%
123 75 AT975 high card 1,020 1.64% 1 : 59.8 23.01%
124 74 AT974 high card 1,020 1.64% 1 : 59.8 21.37%
125 73 AT973 high card 1,020 1.64% 1 : 59.8 19.72%
126 72 AT972 high card 1,020 1.64% 1 : 59.8 18.08%
127 65 AT965 high card 1,020 1.64% 1 : 59.8 16.43%
128 64 AT964 high card 1,020 1.64% 1 : 59.8 14.79%
129 63 AT963 high card 1,020 1.64% 1 : 59.8 13.15%
130 62 AT962 high card 1,020 1.64% 1 : 59.8 11.50%
131 54 AT954 high card 1,020 1.64% 1 : 59.8 9.86%
132 53 AT953 high card 1,020 1.64% 1 : 59.8 8.22%
133 52 AT952 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 AT943 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 AT942 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 AT932 high card 1,020 1.64% 1 : 59.8 1.64%