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| The probability of being dealt the following hand OR BETTER (Before the Draw) |
Expressed in percent (%) is... |
The odds against it are... |
Number of possible combos |
Number of possible combos (with Joker) |
Number of possible combos (without Joker) |
| Bicycle (5-4-3-2-A) |
0.08 |
1,245 to 1 |
2,304 |
1,280 |
1,024 |
Six-High
6-4
6-5 |
0.35 0.15 0.35 |
286 to 1 658 to 1 286 to 1 |
9,984 4,352 9,984 |
3,840 2,304 3,840 |
6,144 2,048 6,144 |
Seven-High
7-4
7-5
7-6 |
1.06 0.42 0.62 1.06 |
93.2 to 1 238 to 1 161 to 1 93.2 to 1 |
30,464 12,032 17,664 30,464 |
8,960 4,864 6,400 8,960 |
21,504 7,168 11,264 21,504 |
Eight-High
8-4
8-5
8-6
8-7 |
2.62 1.13 1.33 1.78 2.62 |
37.1 to 1 87.3 to 1 74.2 to 1 55.3 to 1 37.1 to 1 |
75,264 32,512 38,144 50,994 75,264 |
17,920 9,984 11,520 14,080 17,920 |
57,344 22,528 26,624 36,864 57,344 |
Nine-High
9-4
9-5
9-6
9-7
9-8 |
5.62 2.69 2.89 3.34 4.18 5.62 |
16.8 to 1 36.1 to 1 33.6 to 1 29.0 to 1 22.9 to 1 16.8 to 1 |
161,280 77,312 82,944 95,744 120,064 161,280 |
32,256 18,944 20,480 23,040 26,880 32,256 |
129,024 58,368 62,464 72,704 93,184 129,024 |
TOTAL HANDS: 2,869,685 possible with 53-card deck.
OR BETTER
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