Trader Trainee Interview Questions

11,668 trader trainee interview questions shared by candidates

You have 17 coins and I have 16 coins, we flip all coins at the same time. If you have more heads then you win, if we have the same number of heads or if you have less then I win. What's your probability of winning?
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Assistant Trader

Interviewed at Susquehanna International Group

3.8
Dec 2, 2015

You have 17 coins and I have 16 coins, we flip all coins at the same time. If you have more heads then you win, if we have the same number of heads or if you have less then I win. What's your probability of winning?

Q1: What is the smallest number whose digits multiply into 216. What about 10,000? Q2: Calculate the probability of getting 3 heads after 4 coin flips. What is the probability of getting an odd number of heads for 4 flips? What about for 9? What about for N flips? Q3: What is the next date whose digits are all unique? Q4: Getting heads-tails-heads and heads-heads-tails are equiprobable after 3 coin flips. But if I keep flipping a coin, I'm more likely to get one of these combinations than the other. Why is that?
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Quantitative Trader

Interviewed at Jane Street

4.4
May 18, 2022

Q1: What is the smallest number whose digits multiply into 216. What about 10,000? Q2: Calculate the probability of getting 3 heads after 4 coin flips. What is the probability of getting an odd number of heads for 4 flips? What about for 9? What about for N flips? Q3: What is the next date whose digits are all unique? Q4: Getting heads-tails-heads and heads-heads-tails are equiprobable after 3 coin flips. But if I keep flipping a coin, I'm more likely to get one of these combinations than the other. Why is that?

A seller is selling you a car whose value is uniformly distributed between 0 and 1000 but you don’t know the real value and you need to bid for the car. If your bid price is higher than the its real value, the deal will be done at your bid price and you can afterwards resell the car elsewhere for 1.5 times its real value. Otherwise, the deal will not be done. You can only bid once. What will be your optimal bid price?
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Assistant Trader

Interviewed at Jane Street

4.4
Feb 16, 2014

A seller is selling you a car whose value is uniformly distributed between 0 and 1000 but you don’t know the real value and you need to bid for the car. If your bid price is higher than the its real value, the deal will be done at your bid price and you can afterwards resell the car elsewhere for 1.5 times its real value. Otherwise, the deal will not be done. You can only bid once. What will be your optimal bid price?

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