Optiver | | Interview Experience
Interview Date: Not specified
Result: Not specified
Difficulty: Not specified
Interview Process
The interview process involved multiple rounds focusing on probability and combinatorial problems. Candidates were asked to solve various probability questions, often requiring a thorough understanding of statistical concepts and logical reasoning.
Technical Questions
- What is the probability that the next card drawn from a deck is red after discarding the first 10 cards?
- Roll four dice and find the probability that the sum of the three smallest numbers is 3.
- What is the probability that the sum of two dice is 7?
- Given an unfair coin with a 60% chance of heads, what is the probability of winning $20 if betting $1 each time until reaching that amount or losing everything?
- A couple wants more girls than boys. If the first child is a girl, they will not have any more children. What is the average number of children they should have to meet this expectation?
- In a 4x4 grid, if A starts from the lower left and B starts from the upper right, what is the probability that A and B will not meet?
- What is the probability that the difference of two dice rolls is greater than 2?
- What is the expected sum of rolls when continuing to roll a die until rolling greater than 4?
- What is the probability that a randomly chosen two-digit number has a ones digit greater than its tens digit?
- What is the expected value of the product of three cards drawn from a standard 52-card deck?
- What is the probability that the difference between two randomly chosen three-digit numbers is a two-digit number?
- What is the probability that the sum of two distinct integers chosen from 1 to 9 is 10 or greater?
- What is the probability of flipping 8 coins and getting three of the same in a row?
- If a particle starts at the origin and moves based on dice rolls, how many rolls on average are needed to be 10 steps away from the origin?
- In a game where 100 $1 coins are flipped until no more pairs remain, what is the fair value of the game?
- How many coin flips are expected until two particles located at opposite vertices of an octagon meet?
- What is the probability that three cards drawn from a standard deck are in non-decreasing order?
- What is the probability that thirteen cards drawn from a standard deck contain no aces?
- What is the probability that the sum of some number of three rolled dice equals 5?
- Starting from the center of a 10x10 grid, how many steps on average to reach the boundary if moving randomly?
- A bag contains 10 red, 10 yellow, and 10 blue balls. What is the expected number of remaining balls when only two colors are left?
- If you start with $10 and roll a die 10 times, what is the probability of going bankrupt?
Tips & Insights
Be prepared to solve complex probability problems and demonstrate your thought process clearly. Practice similar questions to improve your speed and accuracy. Understanding the underlying principles of probability will be crucial.