Inside Optiver's Tough Software Engineer Intern Interview: Probability Challenges Unveiled

optiver | Software Engineer Intern | Interview Experience

Interview Date: Not specified
Result: Not specified
Difficulty: Very High

Interview Process

The interview process included an online assessment (OA) that was divided into four parts. The first part focused on coding, while the second part consisted of probability questions. Each question had a time limit of one and a half minutes, and incorrect answers resulted in point deductions.

Technical Questions

  1. Expected Number of Remaining Balls
    A bag contains 10 red balls, 10 yellow balls, and 10 blue balls. Balls are repeatedly drawn until only two colors remain. What is the expected number of remaining balls?
    Choices: 4, 8, 12, 16, 20

  2. Last Roll Probability
    Roll a die and keep the sum until you exceed one hundred. What is the probability that the last roll was a 2?
    Choices: 0.06, 0.1, 0.16, 0.2, 0.26

  3. Common Numbers Probability
    A machine outputs random integers from 1 to 10 inclusive. You and your friend get 3 numbers each. What is the probability that you have no numbers in common with your friend?
    Choices: 0.08, 0.16, 0.24, 0.32, 0.4

  4. More Heads than Tails
    You flip 6 coins. What is the probability that you have more heads than tails?
    Choices: 0.1, 0.35, 0.5, 0.65, 0.9

  5. Final Roll Probability for the Last Roll 2
    Roll a die until the sum exceeds 100. What is the probability that the final roll is 2?
    Choices: 0.06, 0.1, 0.16, 0.2, 0.26

Tips & Insights

  • The difficulty of the questions was significantly high, and it is advisable to practice probability problems extensively.
  • Be mindful of the time constraints during assessments, as managing time effectively is crucial.