Ace odds


Suppose you have a standard 52-card deck of cards. In the standard deck, there are exactly 4 Ace cards. Given this information, what's the probability you'll draw two Aces in a row assuming the Ace is put back into the deck after each draw? What's the probability of drawing two Aces in a row if each Ace is removed from the deck after drawing?

*Note: This is an example of a quick question you might see in a range of interviews, primarily to test your ability to reason through conditional probability on the fly.

It would not be uncommon for the assumption around replacement to be withheld, just to see if you ask to clarify that assumption, as it significantly changes the outcome.*


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