non-flush example flush example



distribution of hand types
distinct combinations probability odds
royal flush 0 0 impossible impossible
straight flush 1 4 0.01% 1 : 15515
four of a kind 0 0 impossible impossible
full house 0 0 impossible impossible
flush 44 176 0.28% 1 : 352
straight 1 1,020 1.64% 1 : 59.8
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 44 44,880 72.31% 2.61 : 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 76s 98765 straight flush 4 0.01% 1 : 15515 100.00%
 
2 AKs AK985 flush 4 0.01% 1 : 15515 99.99%
3 AQs AQ985 flush 4 0.01% 1 : 15515 99.99%
4 AJs AJ985 flush 4 0.01% 1 : 15515 99.98%
5 ATs AT985 flush 4 0.01% 1 : 15515 99.97%
6 A7s A9875 flush 4 0.01% 1 : 15515 99.97%
7 A6s A9865 flush 4 0.01% 1 : 15515 99.96%
8 A4s A9854 flush 4 0.01% 1 : 15515 99.95%
9 A3s A9853 flush 4 0.01% 1 : 15515 99.95%
10 A2s A9852 flush 4 0.01% 1 : 15515 99.94%
11 KQs KQ985 flush 4 0.01% 1 : 15515 99.94%
12 KJs KJ985 flush 4 0.01% 1 : 15515 99.93%
13 KTs KT985 flush 4 0.01% 1 : 15515 99.92%
14 K7s K9875 flush 4 0.01% 1 : 15515 99.92%
15 K6s K9865 flush 4 0.01% 1 : 15515 99.91%
16 K4s K9854 flush 4 0.01% 1 : 15515 99.90%
17 K3s K9853 flush 4 0.01% 1 : 15515 99.90%
18 K2s K9852 flush 4 0.01% 1 : 15515 99.89%
19 QJs QJ985 flush 4 0.01% 1 : 15515 99.88%
20 QTs QT985 flush 4 0.01% 1 : 15515 99.88%
21 Q7s Q9875 flush 4 0.01% 1 : 15515 99.87%
22 Q6s Q9865 flush 4 0.01% 1 : 15515 99.86%
23 Q4s Q9854 flush 4 0.01% 1 : 15515 99.86%
24 Q3s Q9853 flush 4 0.01% 1 : 15515 99.85%
25 Q2s Q9852 flush 4 0.01% 1 : 15515 99.85%
26 JTs JT985 flush 4 0.01% 1 : 15515 99.84%
27 J7s J9875 flush 4 0.01% 1 : 15515 99.83%
28 J6s J9865 flush 4 0.01% 1 : 15515 99.83%
29 J4s J9854 flush 4 0.01% 1 : 15515 99.82%
30 J3s J9853 flush 4 0.01% 1 : 15515 99.81%
31 J2s J9852 flush 4 0.01% 1 : 15515 99.81%
32 T7s T9875 flush 4 0.01% 1 : 15515 99.80%
33 T6s T9865 flush 4 0.01% 1 : 15515 99.79%
34 T4s T9854 flush 4 0.01% 1 : 15515 99.79%
35 T3s T9853 flush 4 0.01% 1 : 15515 99.78%
36 T2s T9852 flush 4 0.01% 1 : 15515 99.77%
37 74s 98754 flush 4 0.01% 1 : 15515 99.77%
38 73s 98753 flush 4 0.01% 1 : 15515 99.76%
39 72s 98752 flush 4 0.01% 1 : 15515 99.76%
40 64s 98654 flush 4 0.01% 1 : 15515 99.75%
41 63s 98653 flush 4 0.01% 1 : 15515 99.74%
42 62s 98652 flush 4 0.01% 1 : 15515 99.74%
43 43s 98543 flush 4 0.01% 1 : 15515 99.73%
44 42s 98542 flush 4 0.01% 1 : 15515 99.72%
45 32s 98532 flush 4 0.01% 1 : 15515 99.72%
 
46 76 98765 straight 1,020 1.64% 1 : 59.8 99.71%
 
47 99 99985 three of a kind 64 0.10% 1 : 969 98.07%
48 88 98885 three of a kind 64 0.10% 1 : 969 97.96%
49 55 98555 three of a kind 64 0.10% 1 : 969 97.86%
 
50 98 99885 two pairs 144 0.23% 1 : 430 97.76%
51 95 99855 two pairs 144 0.23% 1 : 430 97.53%
52 85 98855 two pairs 144 0.23% 1 : 430 97.29%
 
53 AA AA985 one pair 384 0.62% 1 : 161 97.06%
54 KK KK985 one pair 384 0.62% 1 : 161 96.44%
55 QQ QQ985 one pair 384 0.62% 1 : 161 95.82%
56 JJ JJ985 one pair 384 0.62% 1 : 161 95.20%
57 TT TT985 one pair 384 0.62% 1 : 161 94.59%
58 A9 A9985 one pair 384 0.62% 1 : 161 93.97%
59 K9 K9985 one pair 384 0.62% 1 : 161 93.35%
60 Q9 Q9985 one pair 384 0.62% 1 : 161 92.73%
61 J9 J9985 one pair 384 0.62% 1 : 161 92.11%
62 T9 T9985 one pair 384 0.62% 1 : 161 91.49%
63 97 99875 one pair 384 0.62% 1 : 161 90.87%
64 96 99865 one pair 384 0.62% 1 : 161 90.26%
65 94 99854 one pair 384 0.62% 1 : 161 89.64%
66 93 99853 one pair 384 0.62% 1 : 161 89.02%
67 92 99852 one pair 384 0.62% 1 : 161 88.40%
68 A8 A9885 one pair 384 0.62% 1 : 161 87.78%
69 K8 K9885 one pair 384 0.62% 1 : 161 87.16%
70 Q8 Q9885 one pair 384 0.62% 1 : 161 86.54%
71 J8 J9885 one pair 384 0.62% 1 : 161 85.92%
72 T8 T9885 one pair 384 0.62% 1 : 161 85.31%
73 87 98875 one pair 384 0.62% 1 : 161 84.69%
74 86 98865 one pair 384 0.62% 1 : 161 84.07%
75 84 98854 one pair 384 0.62% 1 : 161 83.45%
76 83 98853 one pair 384 0.62% 1 : 161 82.83%
77 82 98852 one pair 384 0.62% 1 : 161 82.21%
78 77 98775 one pair 384 0.62% 1 : 161 81.59%
79 66 98665 one pair 384 0.62% 1 : 161 80.97%
80 A5 A9855 one pair 384 0.62% 1 : 161 80.36%
81 K5 K9855 one pair 384 0.62% 1 : 161 79.74%
82 Q5 Q9855 one pair 384 0.62% 1 : 161 79.12%
83 J5 J9855 one pair 384 0.62% 1 : 161 78.50%
84 T5 T9855 one pair 384 0.62% 1 : 161 77.88%
85 75 98755 one pair 384 0.62% 1 : 161 77.26%
86 65 98655 one pair 384 0.62% 1 : 161 76.64%
87 54 98554 one pair 384 0.62% 1 : 161 76.02%
88 53 98553 one pair 384 0.62% 1 : 161 75.41%
89 52 98552 one pair 384 0.62% 1 : 161 74.79%
90 44 98544 one pair 384 0.62% 1 : 161 74.17%
91 33 98533 one pair 384 0.62% 1 : 161 73.55%
92 22 98522 one pair 384 0.62% 1 : 161 72.93%
 
93 AK AK985 high card 1,020 1.64% 1 : 59.8 72.31%
94 AQ AQ985 high card 1,020 1.64% 1 : 59.8 70.67%
95 AJ AJ985 high card 1,020 1.64% 1 : 59.8 69.03%
96 AT AT985 high card 1,020 1.64% 1 : 59.8 67.38%
97 A7 A9875 high card 1,020 1.64% 1 : 59.8 65.74%
98 A6 A9865 high card 1,020 1.64% 1 : 59.8 64.10%
99 A4 A9854 high card 1,020 1.64% 1 : 59.8 62.45%
100 A3 A9853 high card 1,020 1.64% 1 : 59.8 60.81%
101 A2 A9852 high card 1,020 1.64% 1 : 59.8 59.16%
102 KQ KQ985 high card 1,020 1.64% 1 : 59.8 57.52%
103 KJ KJ985 high card 1,020 1.64% 1 : 59.8 55.88%
104 KT KT985 high card 1,020 1.64% 1 : 59.8 54.23%
105 K7 K9875 high card 1,020 1.64% 1 : 59.8 52.59%
106 K6 K9865 high card 1,020 1.64% 1 : 59.8 50.95%
107 K4 K9854 high card 1,020 1.64% 1 : 59.8 49.30%
108 K3 K9853 high card 1,020 1.64% 1 : 59.8 47.66%
109 K2 K9852 high card 1,020 1.64% 1 : 59.8 46.02%
110 QJ QJ985 high card 1,020 1.64% 1 : 59.8 44.37%
111 QT QT985 high card 1,020 1.64% 1 : 59.8 42.73%
112 Q7 Q9875 high card 1,020 1.64% 1 : 59.8 41.09%
113 Q6 Q9865 high card 1,020 1.64% 1 : 59.8 39.44%
114 Q4 Q9854 high card 1,020 1.64% 1 : 59.8 37.80%
115 Q3 Q9853 high card 1,020 1.64% 1 : 59.8 36.16%
116 Q2 Q9852 high card 1,020 1.64% 1 : 59.8 34.51%
117 JT JT985 high card 1,020 1.64% 1 : 59.8 32.87%
118 J7 J9875 high card 1,020 1.64% 1 : 59.8 31.23%
119 J6 J9865 high card 1,020 1.64% 1 : 59.8 29.58%
120 J4 J9854 high card 1,020 1.64% 1 : 59.8 27.94%
121 J3 J9853 high card 1,020 1.64% 1 : 59.8 26.30%
122 J2 J9852 high card 1,020 1.64% 1 : 59.8 24.65%
123 T7 T9875 high card 1,020 1.64% 1 : 59.8 23.01%
124 T6 T9865 high card 1,020 1.64% 1 : 59.8 21.37%
125 T4 T9854 high card 1,020 1.64% 1 : 59.8 19.72%
126 T3 T9853 high card 1,020 1.64% 1 : 59.8 18.08%
127 T2 T9852 high card 1,020 1.64% 1 : 59.8 16.43%
128 74 98754 high card 1,020 1.64% 1 : 59.8 14.79%
129 73 98753 high card 1,020 1.64% 1 : 59.8 13.15%
130 72 98752 high card 1,020 1.64% 1 : 59.8 11.50%
131 64 98654 high card 1,020 1.64% 1 : 59.8 9.86%
132 63 98653 high card 1,020 1.64% 1 : 59.8 8.22%
133 62 98652 high card 1,020 1.64% 1 : 59.8 6.57%
134 43 98543 high card 1,020 1.64% 1 : 59.8 4.93%
135 42 98542 high card 1,020 1.64% 1 : 59.8 3.29%
136 32 98532 high card 1,020 1.64% 1 : 59.8 1.64%