Trader Trainee Interview Questions

8,647 trader trainee interview questions shared by candidates

If you have two torpedoes, each with a 2/3 probability of sinking a ship, what is the probability that a ship is sunk after firing both? Follow up - If you know that the ship has been sunk, what is the probability that one or both hit the ship?
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Trader Intern

Interviewed at Susquehanna International Group

3.8
Feb 5, 2016

If you have two torpedoes, each with a 2/3 probability of sinking a ship, what is the probability that a ship is sunk after firing both? Follow up - If you know that the ship has been sunk, what is the probability that one or both hit the ship?

There are 2 boys and unknown number of girls in a nursery. A new baby is just born inside the room. We pick randomly a baby from the room, it turns out that the baby is a boy. What is the probability that the new baby just born is a boy?
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Assistant Trader

Interviewed at Susquehanna International Group

3.8
Oct 12, 2014

There are 2 boys and unknown number of girls in a nursery. A new baby is just born inside the room. We pick randomly a baby from the room, it turns out that the baby is a boy. What is the probability that the new baby just born is a boy?

You and I play a game, we roll two dice and both pick a number before rolling them. The one closer to the sum wins. The distribution is non-uniform, with 40 % chance of getting a sum of 12 and a uniform distribution for all the other numbers. What is your strategy? Go first or second?
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Trader

Interviewed at Jane Street

4.4
Oct 22, 2014

You and I play a game, we roll two dice and both pick a number before rolling them. The one closer to the sum wins. The distribution is non-uniform, with 40 % chance of getting a sum of 12 and a uniform distribution for all the other numbers. What is your strategy? Go first or second?

Given a black box that spits out random numbers from 0 through 1 (probability distribution can be random) such that events are independent and the probability of drawing any one number is 0, simulate a coin flip (with EXACTLY 50% heads, 50% tails).
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Assistant Trader

Interviewed at Jane Street

4.4
Feb 4, 2014

Given a black box that spits out random numbers from 0 through 1 (probability distribution can be random) such that events are independent and the probability of drawing any one number is 0, simulate a coin flip (with EXACTLY 50% heads, 50% tails).

Suppose I have two pancakes, one with two burnt sides, one with one burnt and one unburnt side. I choose one of these pancakes randomly, and then look at one of its sides, chosen at random. It is burnt. What is the probability that I chose the pancake with two burnt sides?
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Trader Intern

Interviewed at Citadel

4
Oct 25, 2019

Suppose I have two pancakes, one with two burnt sides, one with one burnt and one unburnt side. I choose one of these pancakes randomly, and then look at one of its sides, chosen at random. It is burnt. What is the probability that I chose the pancake with two burnt sides?

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