Cracking Citadel's Tough Probability Theory Questions: A Candidate's Journey

Software Engineering
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citadel | | Interview Experience

Interview Date: Not specified
Result: Not specified
Difficulty: Not specified

Interview Process

The interview consisted of technical questions focused on probability theory.

Technical Questions

  1. The random variable A is uniformly picked between 0 and 1. The random variable B is uniformly picked between A^2 and 2. What is the expected value of B? Express your answer as a reduced fraction.
    (Topic: Probability Theory)

  2. A frog is attempting two successive jumps to get out of a hole. On its first jump, it has a 20% chance of succeeding; for its second jump afterward, it has a 30% chance of succeeding. If the frog fails, it falls and must try anew. What is the total expected number of jumps the frog will take to get out of the hole?
    (Topic: Probability Theory)

Tips & Insights

Focus on understanding the concepts of expected value and probability distributions, as these were central to the questions asked.