Calculate Probability of Third Card Being an Ace

This question evaluates understanding of conditional probability, dependent events, and combinatorial reasoning within probability theory for a Data Scientist role in the Statistics & Math category.

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Citadel

Jul 12, 2025, 6:59 PM

Data Scientist

Technical Screen

Statistics & Math

16

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Probability Puzzle: Drawing Aces

Setup

You draw 3 cards without replacement from a standard 52-card deck (4 Aces, 48 non-Aces).
It is known that among the first two cards, there is at least one Ace.

Task

What is the probability that the third card is an Ace, given this information?

Solution

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