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11,669 trader trainee interview questions shared by candidates

You have a standard deck of 52 cards. I draw a card and tell you I drew hearts. Now you draw a card from the cards that are remaining. What is the probability that you will also draw a heart? Again, you have a standard deck of 52 cards. I draw 13 cards and tell you I drew exactly 5 hearts. Now you draw 13 cards from the cards that are remaining. What is the expected number of hearts you will draw?
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Quantitative Trader

Interviewed at Jane Street

4.4★
Oct 12, 2016

You have a standard deck of 52 cards. I draw a card and tell you I drew hearts. Now you draw a card from the cards that are remaining. What is the probability that you will also draw a heart? Again, you have a standard deck of 52 cards. I draw 13 cards and tell you I drew exactly 5 hearts. Now you draw 13 cards from the cards that are remaining. What is the expected number of hearts you will draw?

I have 100 green marbles and 100 red marbles and I can divide them up however I want between 2 bags. There has to be 1 marble in each bag, other than that no restrictions. You do not know how I divide them up or which bag you are getting. If you pick a green marble I pay you 100 dollars, If you pick a red, I pay nothing. What is a fair price for this game?
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Assistant Trader

Interviewed at Jane Street

4.4★
Feb 20, 2011

I have 100 green marbles and 100 red marbles and I can divide them up however I want between 2 bags. There has to be 1 marble in each bag, other than that no restrictions. You do not know how I divide them up or which bag you are getting. If you pick a green marble I pay you 100 dollars, If you pick a red, I pay nothing. What is a fair price for this game?

3000 Apples to be transported from city A to city B, between which the distance is 1000 miles. When there is apple on the truck, one apple disappears as every mile driven. Assume unlimited gasoline, how many apples maximum can be transported to city B? Given your answer is x, what market would you make on a lottery: you win 10 dollars if your answer is correct, otherwise 0 dollar. (All calculation must be done without pen and paper)
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Junior Trader

Interviewed at Jane Street

4.4★
Nov 8, 2011

3000 Apples to be transported from city A to city B, between which the distance is 1000 miles. When there is apple on the truck, one apple disappears as every mile driven. Assume unlimited gasoline, how many apples maximum can be transported to city B? Given your answer is x, what market would you make on a lottery: you win 10 dollars if your answer is correct, otherwise 0 dollar. (All calculation must be done without pen and paper)

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