Mastering Fiverings' Technical Challenge: Random Walk Probability Insights

fiverings | Other | Interview Experience

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

Interview Process

The interview consisted of two phone rounds followed by a technical round and a behavioral interview. The process included a series of progressively challenging questions that tested mathematical and probabilistic reasoning.

Technical Questions

  1. Random Walk

    • A kangaroo starts at the origin and has a 50% chance to move left or right, except at the origin where it always moves right. Questions included:
      • The expected position after jumping two or three times.
      • The long-term expected position and the probability of returning to the origin.
      • Discussion on limits and the use of inequalities to solve the problem.
  2. Probability and Game Theory

    • Two players, A and B, each have a die and roll twice. The winner is determined by the number of wins. Questions included:
      • The probability of winning the game.
      • Designing a die for player A that maximizes their probability of winning against player B.
      • Analyzing the impact of switching to different dice configurations.
      • Comparing probabilities between different game setups involving dice and card draws.

Tips & Insights

The interview process is challenging and may involve complex game theory concepts. It’s essential to think critically and be prepared for corrections or hints from the interviewer. The experience suggests that the expectations for full-time roles may be particularly high, and candidates should be ready to demonstrate a deep understanding of the underlying principles.