THE PROBABILITY OF BEING DEALT
SPECIFIC HANDS BEFORE THE DRAW
(53-card deck – including Joker)
| The probability of being dealt… (before the draw) | Expressed in percent (%) is… | The odds against it are… | Number of possible combos |
| 5 ACES | 0.00* | 2,869,684 to 1 | 1 |
| STRAIGHT-FLUSH
Royal Flush Other Straight Flush |
0.01 0.00** 0.01 |
14,066 to 1 119,569 to 1 15,942 to 1 |
204 24 180 |
| FOUR-OF-A-KIND | 0.03 | 3,465 to 1 | 828 |
| FULL HOUSE | 0.15 | 656 to 1 | 4,368 |
| FLUSH | 0.27 | 367 to 1 | 7,804 |
| STRAIGHT | 0.71 | 139 to 1 | 20,532 |
| THREE-OF-A-KIND
3 Aces Three-of-a-kind (Large: K’s – 8’s) Three-of-a-kind (Small: 7’s – 2’s) |
2.21 0.37 0.92 0.92 |
44.3 to 1 271 to 1 108 to 1 108 to 1 |
63,360 10,560 26,400 26,400 |
| TWO-PAIR
Aces-up K-up, Q-up, J-up Small Two-Pair (Tens-up and under) |
4.83 1.10 1.69 2.03 |
19.7 to 1 89.6 to 1 58.0 to 1 48.2 to 1 |
138,600 31,680 48,600 58,320 |
| ONE PAIR | 42.34 | 1.36 to 1 | 1,215,024 |
| PAIR OF A,K,Q,J (Openers)
Aces Kings Queens Jacks |
14.19 4.81 3.13 3.13 3.13 |
6.05 to 1 19.8 to 1 31.0 to 1 31.0 to 1 31.0 to 1 |
407,184 137,904 89,760 89,760 89,760 |
| SHORTS
Shorts (Large: 10’s – 7’s) Shorts (Small: 6’s – 2’s) |
28.15 12.51 15.64 |
2.55 to 1 6.99 to 1 5.39 to 1 |
807,840 359,040 448,800 |
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