Exact model
At least one ace in five cards
- Probability:
- 34.1%
- Odds:
- 1 to 1.9
- dBan
- −2.9 dBan
Deal five cards and there is roughly a one-in-three chance that an ace appears in your hand.
Calculation
p = 1 − C(48, 5) / C(52, 5) = 886656 / 2598960
Assumptions
A well-shuffled standard 52-card deck is dealt without putting cards back.
Sources
- Five-card hand combinatorics