As it says in the title...I just had 30 hands with no aces. What are the odds?
(standard NLHE I should add, not 5 card stud etc)
1 Answer
The odds of not being dealt an ace in a 2-card hand is the the odds of being dealt two non-aces. There are 48 non-aces in the deck, so this is (48/52) * (47/51), or 85% for one hand.
The odds of it for any number of hands n is that product raised to the nth power.
P(n) = (2256/2652)^n
| number hands | probability no aces |
|---|---|
| 1 | 0.851 |
| 10 | 0.198 |
| 20 | 0.039 |
| 30 | 0.008 |
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Ah... Much simpler than I was making it in my head! Stats was never my strong suit. Thanks a lot. Commented Jan 24, 2022 at 11:03