The standard poker hands are ranked based on the probability of their
being dealt pat in 5 cards from a full 52-card deck.
The following table lists the
hands in order of increasing frequency, and shows how many ways each hand
can be dealt in 3, 5, and 7 cards.
| Hand |
|
3_cards |
|
|
5_cards |
|
|
7_cards |
|
|
|
cnt |
% |
cdf% |
cnt |
% |
cdf% |
cnt |
% |
cdf% |
| Straight_Flush |
48 |
0.22% |
0.22% |
40 |
0.00% |
0.00% |
41,584 |
0.03% |
0.03% |
| Four_of_a_Kind |
0 |
0.00% |
0.22% |
624 |
0.02% |
0.03% |
224,848 |
0.17% |
0.20% |
| Full_House |
0 |
0.00% |
0.22% |
3,744 |
0.14% |
0.17% |
3,473,184 |
2.60% |
2.80% |
| Flush |
1,096 |
4.96% |
5.18% |
5,108 |
0.20% |
0.37% |
4,047,644 |
3.03% |
5.82% |
| Straight |
720 |
3.26% |
8.43% |
10,200 |
0.39% |
0.76% |
6,180,020 |
4.62% |
10.44% |
| Three_of_a_Kind |
52 |
0.24% |
8.67% |
54,912 |
2.11% |
2.87% |
6,461,620 |
4.83% |
15.27% |
| Two_Pair |
0 |
0.00% |
8.67% |
123,552 |
4.75% |
7.63% |
31,433,400 |
23.50% |
38.77% |
| One_Pair |
3,744 |
16.94% |
25.61% |
1,098,240 |
42.26% |
49.88% |
58,627,800 |
43.82% |
82.59% |
| High_Card |
16,440 |
74.39% |
100.00% |
1,302,540 |
50.12% |
100.00% |
23,294,460 |
17.41% |
100.00% |
| ================= |
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| TOTALS |
22,100 |
|
|
2,598,960 |
|
|
133,784,560 |
|
|