If I had a 50 card deck, and I hypothetically had 5 aces, then drawing the top card off the deck has a 10% chance of being an ace. HOWEVER! If we are taking the phrase, every X cards in the most literal way possible, since I am supposed to see an ace every 10 cards, do my chances of getting an ace increase if I wait to take the 10th, 20th, 30th, etc card from the deck, instead of just the first one. Does it increase the odds? Decrease? Or do nothing?
2026-03-26 03:00:53.1774494053
How true is every X cards?
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As long as the order of the cards is random, as it should be in this kind of scenario, each card has the same probability of being an ace. The only way the probability would change is if you knew something about which cards had already been drawn - that would take us to the realm of conditional probabilities.
And your statement that "I am supposed to see an ace every 10 cards" seems a little suspicious. On average, you would expect a randomly-drawn subset of 10 cards to contain an ace, but randomness doesn't imply even spacing. That's probably not what you mean; it's probably just an issue with how I read it, but it's always good to be careful with language.