Calculate Probability of Third Card Being an Ace
Company: Citadel
Role: Data Scientist
Category: Statistics & Math
Difficulty: medium
Interview Round: Technical Screen
##### Scenario
A probability puzzle during a first-round technical screen.
##### Question
You draw three cards without replacement from a standard 52-card deck. Given that among the first two cards there is at least one Ace, what is the probability that the third card is an Ace?
##### Hints
Condition on the Ace count in the first two draws and apply Bayes.
Quick Answer: 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.