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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)
avatar

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)

there are 3 problems presented during the phone interview. the first two could be found here. I only give 3rd problem: I am thinking about two positive integers: a and b. I can tell you a/b is belong to the close interval [0.48, 0.52], then give me all the possible values for b no matter what value a takes.
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Trader

Interviewed at Jane Street

4.4★
Jan 15, 2015

there are 3 problems presented during the phone interview. the first two could be found here. I only give 3rd problem: I am thinking about two positive integers: a and b. I can tell you a/b is belong to the close interval [0.48, 0.52], then give me all the possible values for b no matter what value a takes.

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